







An egg falls from rest 
20180510 

Amy pose la question : An egg falls from rest a distance of 75cm to the floor.
Neglecting air resistance, at what speed does it hit the floor? Penny Nom lui répond. 





Throwing a football 
20180426 

Abby pose la question : Daring Danny's threw a football at an angle of 40 degrees to the horizontal. The football hit the ground at 36 feet. Danny is 5 feet 1 inch tall. Find the initial velocity
I have been trying to figure this problem out for forever! Please help! I am really confused because I don't know time either and you are supposed to find that as well as velocity. Penny Nom lui répond. 





The distance between two men 
20180421 

Kristin pose la question : If a 5 ft 6 in man gets hit at a downward 45 degree angle by a 5 ft 10 in man, how far apart are the two men? AND, would the shorter man have to be kneeling or standing? Is there a formula and answer for this question? Penny Nom lui répond. 





A penny is thrown from the top of a building 
20180316 

Zoraida pose la question : A penny is thrown from the top of a 26.7meter building and hits the ground 3.39 seconds after it was thrown. The penny reached its maximum height above the ground 0.89 seconds after it was thrown.
a. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.
b. What is the maximum height of the penny above the ground? Penny Nom lui répond. 





A cyclist reduces his speed 
20180227 

Katherine pose la question : Suppose the winner had reduced his average cycling rate by .1 mile per hour.
By how much would his time have changed?
(the cyclist's rate is 23.66 miles per hour and the answer to the question before this
one was that he cycled 2,292 miles in 96.87 hours) Penny Nom lui répond. 





Walking up and down a hill 
20170919 

Justina pose la question : At 2:20 p.m. Jack is at the top of the hill and starts walking down at the exact same time that Jill, who is at the bottom of the hill, starts walking up. If they maintain the uphill speed of 2mph and downhill speed of 4mph and the distance from the bottom to the top of the hill is 1.5 mi, at what time will Jack and Jill meet? Penny Nom lui répond. 





Up a hill and down again 
20170917 

justina pose la question : Jack and Jill travel up a hill at a speed of 2mi/h.they travel back down the hill at a speed of 4mi/h.what is their average speed for the entire trip? express your answer as a mixed number Penny Nom lui répond. 





A car on a rough road and a concrete road 
20170827 

Ken pose la question : A car is driven on a rough road at a speed of 25km and then on a concrete road with a speed of 70kph. The car has 5.5 hours to travel 225km. How long did the car travel on concrete road? Penny Nom lui répond. 





A police officer spots a speeding car 
20170720 

Josh pose la question : Marie, a police officer, spots a speeding car and starts chasing it. The speeding
car travels at a speed of 130 feet per second. Marie's car reaches a constant speed
of 145 feet per second 1725 feet from the start of the chase. During that time, the
speeding car has traveled 3150 feet. Write a system of equations to represent this
situation. Penny Nom lui répond. 





How fast am I travelling? 
20170624 

corey pose la question : if i travel 2 miles in 10 seconds, how fast am i travelling please Penny Nom lui répond. 





A man drives 48km in 45 minutes 
20170603 

Jamal pose la question : A man drives from Ibadan to Oyo a distance of 48km in 45 minutes. If he drives at 72km/h where the surface is good and 48km/h where the surface is bad. Find the number of kilometers of good surfaces Penny Nom lui répond. 





Initial velocity 
20170523 

Annelle pose la question : a body is thrown vertically downward from a height above the ground. determine the initial velocity and the height of the starting point if after 4 secs it reaches the ground with velocity of 68 m/s. Penny Nom lui répond. 





The length of a train 
20170424 

Stefano pose la question : If a freight train is coming towards you and you were traveling at 85 miles an hour and it takes 35 seconds for the train to pass you how long is the train
Figure 50mph for train Penny Nom lui répond. 





Travelling upstream and downstream 
20161017 

Kathleen pose la question : It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the boat in still water if the speed of the stream is 3 mph? Penny Nom lui répond. 





A car chase 
20160925 

Ms. pose la question : Car 1 is traveling down the road at 50 mph and passes Car 2 is
sitting on the side of the road. Car 2 needs to catch Car 1 one half mile
down the road. How fast must Car 2 drive to catch Car 1 if Car 2
waits 10 seconds before pursuing Car 1?
Yes, the assumption is that the Car 2 can accelerate from a standing position and over take Car 1 rate. What is the answer or formula for this type of question?
Respectfully
Befuddled Mom? Penny Nom lui répond. 





How fast and how far must Car 2 travel before catching Car 1? 
20160925 

Ms. pose la question : Car 1 is traveling down the road at 50 mph and passes Car 2 is
sitting on the side of the road. Car 2 needs to catch Car 1 one half mile
down the road. How fast must Car 2 drive to catch Car 1 if Car 2
waits 10 seconds before pursuing Car 1?
Yes, the assumption is that the Car 2 can accelerate from a standing position and over take Car 1 rate. What is the answer or formula for this type of question?
Respectfully
Befuddled Mom? Penny Nom lui répond. 





The distance around a warehouse 
20160921 

Chuck pose la question : How far do I walk when I walk around a 751,000 sq. ft. warehouse? Penny Nom lui répond. 





John and Max walk to meet each other 
20160529 

abhay pose la question : The speeds of John and Max are 30 km/h and 40 km/h.Initially Max is at a place L and John is at a place M. The distance between L and M is 650 km. John started his journey 3 hours earlier than Max to meet each other. If they meet each other at a place P somewhere between L and M, then the distance between P and M is? Penny Nom lui répond. 





At what time will Sara catch up with Jake? 
20160507 

Laura pose la question : At 11:00 a.m., Jake started driving along a highway at constant speed of 50 miles per hour. A quarter of an hour later, Sara started driving along the same highway in the same direction as Jake at the constant speed of 65 miles per hour. At what time will Sara catch up with Jake? Penny Nom lui répond. 





A 3 hour river cruise 
20160506 

Jan pose la question : A 3 hour river cruise goes 15km upstream and then back again.The river has a current speed of 2km/h.what is the boat's speed and how long was the upstream journey? Penny Nom lui répond. 





A road trip word problem 
20160410 

Marc pose la question : While on a road trip I imagined this random word problem. Suppose I start a trip of 75 miles. My initial speed is 75 miles per hour. After every mile traveled I decrease my speed by one mile per hour. After the first mile I decrease my speed to 74 miles per hour and so on for each subsequent mile traveled. How long will it take to complete the 75 mile journey? Penny Nom lui répond. 





Biking and jogging 
20160317 

alondra pose la question : Ricky went on a bike ride. After 6 miles he got a flat tire and had to jog home. He jogs 3mph slower than he bikes, so the jog took 1 hour longer than the bike ride. At what rate did he travel each way? Penny Nom lui répond. 





Travelling with and against he current 
20160209 

Lloyd pose la question : A boat travelled 210 miles downstream and back. The trip downstream took 10hrs, the trip back took 70hrs
1. what is the speed of the current?
2. what is the speed of the boat in still water? Penny Nom lui répond. 





A two car competition 
20160202 

Christian pose la question : Question: Two cars are racing to a fixed point and back. One car travels 70 MPH both ways
While the other travels 60 MPH there and 80 MPH back, which car won the race?
It is not a tie. Penny Nom lui répond. 





Matthew skateboards around the school 
20151209 

Abigail pose la question : Matthew skateboards 4km each hour.
How long will it take him to skateboard around the school yard measuring 300m by 200m.?
Thank you. Penny Nom lui répond. 





Travelling in opposite directions 
20151206 

Roselyn pose la question : Jenny and Mark commute to work, travelling in opposite directions. Jenny leaves the house at 8 AM, and averages 35 kph. Mark leaves at 8:15 AM, and averages 40 kph.At what time will they be 40 kilometers apart? Penny Nom lui répond. 





Riding a mountain bike up and down a mountain 
20151202 

sam pose la question : Michael, can climb a mountain at 2.5km/hr on his mountain bike. he descends the mountain at 5.5km/hr. he completes the whole circuit in 7 hours. how long is the trail to the top of the mountain? Penny Nom lui répond. 





The distance between two boats 
20150726 

mohammad pose la question : Two boats leave the same dock at the same time,one traveling due east at 10 mph and the other due north at 24mph,how many miles apart are the boats after 3hours ? Penny Nom lui répond. 





Two lorries approaching an intersection 
20150515 

Nuraini pose la question : Two straight roads intersect at the right angles. Lorry A, moving on one of the roads,
Approaches the intersection at 50mi/h and lorry B, moving on the other roads, approaches the intersection at 20mi/h.
At what rate is the distance between the lorry changing when A is 0.4 mile from the intersection and B is 0.3 mile from the intersection? Penny Nom lui répond. 





Two cars approaching an intersection 
20150416 

Engabu pose la question : Car A is traveling west at 50km/h & car B is traveling north at 60km/h. both are headed for the intersection of the two roads. At what rate are the cars approaching each other when car A is 3km & car B is 4km from the intersection? Penny Nom lui répond. 





Two airplanes 
20150414 

john pose la question : two planes leave an airport at the same time, one going northwest (N35*W)at 400 mph and the other going east at 332 mph. How far apart are the planes after 4 hours to the nearest mile? Penny Nom lui répond. 





A train trip 
20150323 

Ngcebo pose la question : A train travels a distance of 720 km at a speed of x km/h. on the return journey, it travels at an average speed of y km/h and completes the whole journey in an hour less. if the speed during the return journey was 10 km/h more, what were the speeds in m/s Penny Nom lui répond. 





Average rate for a return trip 
20150314 

Michael pose la question : Jeffrey drove to a town 25 miles away at an average speed of 50 miles per hour. The return trip along the same route took 20 minutes longer than the trip to town. Determine the average speed in miles per hour for Jeffrey's round trip. Penny Nom lui répond. 





Istanbul to Lagos 
20150303 

Victor pose la question : A plane flies from Istanbul to Lagos at 800km/h and then returns to Istanbul at 900km/h. The return trip takes 1 hour less than the flight to Lagos. What is the distance between Istanbul and Lagos? Penny Nom lui répond. 





Distance, time and rate for three people 
20150215 

Mubashir pose la question : Steven left Town A and walked towards Town B at a speed of 100m/min. At the same time, Jason and Melvin started from Town B and walked towards Town A at a speed of 80m/min and 75m/min respectively. If Steven met Melvin six minutes after passing Jason, find the distance between Town A and Town B. Penny Nom lui répond. 





Stopping distance 
20150211 

Audrey pose la question : A Harley Davidson motor cycle weighing 650 lbs with a rider weighing 175 bs
was going 40 miles per hour. He had to make a sudden stop . Slammed on brakes. How long a distance for him to stop? Penny Nom lui répond. 





A circle and a chord 
20150207 

Dakota pose la question : If the diameter of a circle is 48 cm, find the shortest distance from a chord of length 34 cm to the center of the circle Penny Nom lui répond. 





Speed, distance and time 
20150206 

Terry pose la question : How many seconds would it take to travel 0.18 km at a speed of 130km per hour? Penny Nom lui répond. 





Two cars pass each other going in opposite directions 
20150203 

Caroline pose la question : Two cars pass each other going i opposite directions. One car is going 100 km/h and the other is going 80 km/h. How far apart will the two cars be after driving 45 minutes at these rates of speed? Penny Nom lui répond. 





A train from Vancouver to Whistler 
20150202 

Tea pose la question : Serena and Nina are taking a train from Vancouver to Whistler, a 160km trip. If the average speed is decreased by 16km/hr, the trip will be 1/2 hours longer. What is the average speed of the train?
Thanks :) Penny Nom lui répond. 





A motorbike race 
20150125 

Pramegh pose la question : In a motorbike race of 75 km, the winner completes the race with a lead of 300 meters and 8 seconds before the second rider. Considering the riders ride with an average speed, find the difference between their speeds with which they completed the race.
(Calculate up to 2 decimal places) Penny Nom lui répond. 





Two cars 
20150118 

taylor pose la question : two cars leave the park at the same time, one traveling north at a speed 10 mph faster than the other which is traveling south. after 3 hours the cars are 420 miles apart. find the speed of both cars Penny Nom lui répond. 





196 kilometer in2 hours 
20141229 

Ekanem pose la question : QQ A motorist had planned to reach a place 196km in two hrs exactly. For the first 15km he was able to average only 40km/h. What average speed must he keep up for the rest of the journey if he is to arrive on time. Penny Nom lui répond. 





What is the speed of the boat in still water? 
20141030 

Adam pose la question : The current in a stream moves at a speed of 2 km/h. A boat travels 38 km upstream and 38 km downstream in a total time of 3 hr. What is the speed of the boat in still water? Penny Nom lui répond. 





A man a ship and a wharf 
20140926 

Ralph pose la question : A man om wharf 12 meters above the level of water is pulling a rope tide to a boat at the rate of 2 meters per minute. How fast is the boat approaching the wharf when there are 20 meters of the rope our. (with solution) Penny Nom lui répond. 





Problem solving 
20140908 

hubert pose la question : a car left the house and travelled at an average speed of 60 kph.how many minutes will it take for the car to reach the school which is 8 km away from the house Penny Nom lui répond. 





A car passing a bus 
20140824 

Athish pose la question : the driver of the car is travelling at 36 km/hr and spots a bus 80 m ahead of him after 1 hr the bus is 120 m behind the car what is the speed of the bus Penny Nom lui répond. 





Distance, speed and time 
20140813 

abdel pose la question : Mac walked to a park from the college at 5 km/h. 10 minutes later, Steve started
riding his bike at 15 km/h to the same park to meet Mac. They arrive at the same
time at the park. How far is the park from the college? Tyler Wood lui répond. 





Speed, distance, time 
20140813 

Aarti pose la question : a theif running at 8 km/hr is chased by a policeman whose speed is 10km/hr.if the thief is 100 m ahead the policeman then what will b time required for the policeman to catch the thief? Tyler Wood lui répond. 





A model of the sun and the Earth 
20140614 

Lynn pose la question : There is a model of the sun that is 2 1/2 inches in diameter. This is the only clue we have! How far away is the earth from this model? Penny Nom lui répond. 





What is the speed of the buses? 
20140518 

musliu pose la question : Two buses leave a bus station and travel in opposite direction from that same starting point.if the speed of one is twice the speed of the other and they are 240km apart at the end of 1h, what is the speed of the buses? Penny Nom lui répond. 





Travelling upstream and downstream 
20140512 

Mohanad pose la question : Howie Sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still water. What is the rate of the current? Penny Nom lui répond. 





2 cars driving towards each other 
20140427 

Joakim pose la question : 2 cars driving towards eachother , the distance between them is 162km. they meet after 2 hours. car A is driving with 4/5 of car B´s speed. what is the speed of each car... Penny Nom lui répond. 





What time was it when joe's brother passed him? 
20140425 

Nathan pose la question : joe left home in his bike at 10:00 am, traveling 21 km/h. At noon, his brother set out after him on his motorcycle, following the same route. if the motorcycle traveled at 63 km/h, what time was it when joe's brother passed him? Penny Nom lui répond. 





A speed word problem 
20140224 

kiss pose la question : Hank bicycles 5 km/h slower than Kelly. In the time that it takes Hank to bicycle 42 km, Kelly can bicycle 57 km. How fast does each bicyclist travel? Penny Nom lui répond. 





Two bicyclists traveled in opposite directions 
20140207 

Susan pose la question : Two bicyclists traveled in opposite directions, one at a rate of 8 km/hour and the other at a rate of 7 km per hour. In how many hours were they 45 km apart? Penny Nom lui répond. 





Walking up and down a hill 
20140206 

flo pose la question : michelle walks 4 km to the top of a hill at 3 km/h then immediately walks back down at an average speed of 5 km/h what is her average speed for the 8km walk Penny Nom lui répond. 





Radio direction finders 
20140109 

Nathan pose la question : Radio direction finders set up two points A and B, which are 2.5 miles
apart on an eastwest line. From A, it is found that the bearing of a
signal from a radio transmitter is N36.33 degress E, while from B the
bearing of the same signal is N53.67 degrees W. Find the distance of
the transmitter from B. Penny Nom lui répond. 





Two tuna boats 
20140109 

amanda pose la question : Two tuna boats start from the same port at the same time, but they head in opposite directions. The faster boat travels 10 knots per hour faster than the slower boat. At the end of 8 hours, they were 272 nautical miles had each boat traveled by the end of the 8 hour period? Penny Nom lui répond. 





Distance from a point to a line 
20131228 

Sue pose la question : I need to find the distances from the west line on 1st Take Point and 2nd
Take Point.
Thanks,
Sue Penny Nom lui répond. 





One train overtaking another 
20131111 

kiran pose la question : two trains of equal length are running in parallel tracks in the same direction with the speed of 60km/hr and 90km/hr respectively the latter completely crosses the former in 30 seconds the length of each train is in mtr Penny Nom lui répond. 





The average time per mile for a marathoner 
20131104 

Peter pose la question : a runner ran a 26.2 mile marathon in 2hours 8minutes and 24secounds. the question is, what was his average time for each mile that he ran? Penny Nom lui répond. 





A pool, a school, a park and home 
20130924 

Selena pose la question : The distance from the park to the pool is the same distance as the distance from your house to school. The school is between the pool and your house. Prove that the distance from the park to the school is the same distance from the pool to your house. Robert Dawson lui répond. 





What is the original speed? 
20130810 

MJ pose la question : If a truck increases its average speed by 10 km/h it can cover 60 km at the original speed in the same time that it can cover 80 km at the faster speed. What is the original speed? Penny Nom lui répond. 





Distance as a function of acceleration 
20130710 

Tom pose la question : If you start at a stoplight and your acceleration is 16t  t^2, how far have you gone after 8 seconds? Penny Nom lui répond. 





Diego and his dog 
20130709 

William pose la question : john went hunting and walked at a speed of 4 km/h. one hour later, Diego and his dog went to meet john with a speed of 6 km/h and the dog was running between john and diego until they meet up with a speed of 18 km/h. After Diego meets john, how much distance did the dog run? Penny Nom lui répond. 





The distance between 2 lines in 4D 
20130401 

samane pose la question : how can i measure the distance between 2 lines in 4D?? Chris Fisher lui répond. 





A shortest distance problem 
20130328 

LYNDELL pose la question : I have a right triangle and know the length of all sides. How do I calculate the shortest distance from the vertex of the 90 degree angle to the hypotenuse? Penny Nom lui répond. 





6 miles in 28 minutes what's my average speed? 
20130305 

lynda pose la question : 6 miles in 28 minutes what's my average speed? Penny Nom lui répond. 





An electron in a TV tube 
20130215 

anu pose la question : an electron in a TV tube is beamed horizontally at a speed of (50^6) m/sec. towards the face of a tube 40 cm away
about how far will the electron drop before it hits? no information has been provided of initial height from where it is beamed. Robert Dawson lui répond. 





A journey of two parts 
20130206 

Natalie pose la question : Mr Lim drove at 70 km per hour for 1 hour and 30 minutes. He then drove another 55 km. if his average speed for the whole journey was 80km per hour, what was his speed for the 55 km journey? Penny Nom lui répond. 





How fast are we approaching each other? 
20130111 

Heather pose la question : If I am skating at 7 mph, and a car drives towards me at 15 mph, how fast are we approaching each other? Penny Nom lui répond. 





How fast is the distance between the aircraft and the car increasing? 
20121024 

Steven pose la question : At a certain instant an aircraft flying due east at 240 miles per hour passes directly over a car traveling due southeast at 60 miles per hour on a straight, level road. If the aircraft is flying at an altitude of .5mile, how fast is the distance between the aircraft and the car increasing 36 seconds after the aircraft passes directly over the car? Penny Nom lui répond. 





Two swimmers 
20121022 

Emily pose la question : Two swimmers start from opposite sides of the pool. Each swimmer swims the length of the pool and back at a constant rate. They pass each other for the first time 40 feet from one side of the pool and for the second time 45 feet from the other side of the pool. What is the length of the pool? Penny Nom lui répond. 





A plane travelling with the wind and against the wind 
20120803 

Gwen pose la question : The time of a plane trip of 450 miles, with the wind is 3/5 the time of the return trip against the wind. If the plane travels 120 mph in still air, what is the wind speed? Penny Nom lui répond. 





A cyclist a jogger and a fly 
20120604 

Emd pose la question : A cyclist & a jogger are 20 miles apart.
Cyclist goes 20 mph & jogger 7mph towards each other.
A fly starts on nose of cyclist & flies at 20 mph from cyclist to jogger &
back & forth until they meet.
How far has the fly travelled? Penny Nom lui répond. 





Romeo and Juliet live 40 miles apart 
20120518 

Abigaíl pose la question : Romeo and Juliet live 40 miles apart. Romeo jogs 8mph, while Juliet “fast walks” at 4mph. They leave their houses at the same time and journey toward each other.
a) How many hours after they start will they meet?
b) Approximately how many miles from Romeo’s house is their meeting point? Penny Nom lui répond. 





Math, time and rate 
20120518 

Abigaíl pose la question : Romeo and Juliet live 40 miles apart. Romeo jogs 8mph, while Juliet “fast walks” at 4mph. They leave their houses at the same time and journey toward each other.
a) How many hours after they start will they meet?
b) Approximately how many miles from Romeo’s house is their meeting point? Penny Nom lui répond. 





Cycling and running 
20120507 

liz pose la question : a biathlete travels 20 miles in 2.25 hours. She cycles part of the way at 12 mph and runs the rest at 5 mph. How far did she run? Penny Nom lui répond. 





The maximum distance from the vertex of a triangle 
20120502 

David pose la question : There are three towns A,B,and C, equidistant apart.
A car is 3 miles from town A, and 4 miles from town B.
(ie, somehwere outside of the triangle which the three towns form)
What is the maximum distance that the car can be from town A?
This was asked as quiz question in my local pub last Sunday.
The answer is 7. How do I prove it?
Best regards. David in Denton. Robert Dawson and Chris Fisher lui répond. 





Two cars approach a rightangled intersection 
20120410 

Michael pose la question : Two cars approach a rightangled intersection, one traveling south a 40km/h and the other west at 70km/h.
When the faster car is 4km from the intersection and the other case if 3km from the intersection,
how fast is the distance between the car cars changing? Penny Nom lui répond. 





How long will it take lee to catch up with jodie? 
20120321 

kirsten pose la question : for example, if jodie is on the bus travelling at 10 m.p.h and lee is walking at 4 m.p.h how long will it take lee to catch up with jodie?? what is this mathematical name for this Harley Weston lui répond. 





Margie threw a ball 
20120216 

mary pose la question : at 9:45 Margie threw a ball upwards while standing on a platform 35ft above the ground. The height after t seconds follows the equation:
h(t)= 0.6t^2 +72t+35
a) what will be the maximum height of the ball?
b)how long will it take the ball reach its maximum height?? Harley Weston lui répond. 





Jack and Kate set off in their cars ... 
20120213 

akiri pose la question : Jack and Kate set off in their cars from the same point to travel the same journey. Jack has a start of eight minutes before Katie sets off. If Jack travels at 50mph and Katie travels at 75mph, how many miles will be travelled when the two cars are level? Penny Nom lui répond. 





There is a police officer in pursuit of suspect 
20120201 

Jay pose la question : There is a police officer in pursuit of suspect. They suspect is driving on a straight road traveling at 79 mph, the officer is 233 yds away, traveling at 92 mph, the suspects car 5 ft long and the officers car is 5.3 ft long, how long will it take to have the front of the officers car, equal to the front of the suspects car down to the tenth of a second. Harley Weston lui répond. 





Two cars in a race 
20120130 

Christine pose la question : In a car race, the speed of one car is 120kph and the other car is 105 kph. If the faster car finished the race 20 mins before the slower one, what was the distance of the race? Thanks for the answer and the previous answer to my question. Penny Nom lui répond. 





Brian on his bike 
20120116 

tiffany pose la question : Brian rides his bike 0.29 miles per minute. If it takes him 22 minutes to ride his bike to his friend's house, how far away does his friend live? Penny Nom lui répond. 





Running 5 km 
20120112 

Fayeann pose la question : What amount of time will it take a person running 7 m/s to travel a distance of 5 km? Penny Nom lui répond. 





A straight line distance 
20120106 

Margaret pose la question : If you traveled 300 miles east and 275 miles north, how many miles would you save by going in a straight line? Penny Nom lui répond. 





Two trains passing each other 
20111207 

Tamkeen pose la question : two trains 245m and 315m long are travelling toward each other at 90km/h and 54km/h respectively on parallel lines . how long do the train take to pass one another train the time they meet each other? Penny Nom lui répond. 





Uniform acceleration 
20111206 

Android pose la question : At a certain instant, two cars A and B are 2000 ft apart. At this instant, car A is traveling at 15 miles/hr. and accelerating at 3 ft/s^2 while B is moving towards A at 30 miles/hr. and an acceleration of 2 ft/s^2.
Find the ff:
a.) The possible time of their collusion in minutes.
b.) The distance in ft. each has traveled before collusion. Penny Nom lui répond. 





Two boats 
20111130 

Shayan pose la question : A boat is traveling 20 miles per hour when it passes a lighthouse.
another boat is traveling at 15 miles per hour when it passes a point.
the lighthouse and the point are 175 miles apart.
when will the boats pass each other? Penny Nom lui répond. 





The average speed for the whole journey 
20111030 

Shahzad pose la question : a train travels 68 Km at an average speed of 51Km/h. It then travels another 20Km at an average speed of 40Km/h before reaching its destination. Calculate the average speed for the whole journey? Penny Nom lui répond. 





What is the speed of the boat in still water? 
20111007 

Hannah pose la question : The speed of a stream is 3 mph. A boat travels 10 miles upstream in the same time it takes to travel 16 miles downstream. What is the speed of the boat in still water Penny Nom lui répond. 





Chuong and Hassan drive to work 
20111004 

Dilshad pose la question : Chuong and Hassan both drive 40 km from home to work each day. One day Chuong said to Hasssan, "If you drive home at your usual speed, I will average 40 kmph faster than you and arrive home in 20 minutes less time." Find Hassan's speed. Penny Nom lui répond. 





Driving to meet Mary 
20110824 

Denise pose la question : mary leaves St Paul traveling 2000 miles @ 55 MPH; John leaves LA traveling 2000 miles @ 45 MPH how many miles will John had traveled to meet mary? Penny Nom lui répond. 





Achilles and a turtle 
20110701 

Jean pose la question : Achilles and a turtle are having a race. The turtle starts 45m ahead of Achilles and Achilles is twice as fast as the turtle. If turtle runs at 1m/s,how far would the turtle have run before he is outrun by Achilles? Penny Nom lui répond. 





Two trains 
20110607 

Lynn pose la question : If the 1st train goes 60 mph and the 2nd train leaves 10 minutes later =
at a speed of 70 mph, how long does it take to catch up with the 1st =
train. Penny Nom lui répond. 





How many meters long should the race be? 
20110526 

Lee pose la question : Nathan can walk at a rate of two meters per second while David can
easily go threeandahalf meters per second. David offers Nathan
a 45 meter head start. How many meters long should the race be in
order for Nathan to win by a nose Penny Nom lui répond. 





How far is it from the control tower? 
20110411 

Varun pose la question : An aircraft is vertically above a point which is 10 kms west and 5 kms north of a control tower. if the aircraft is 4000 mts above the ground,how far is it from the control tower? Penny Nom lui répond. 





Two ships 
20110405 

Gevork pose la question : Ship A is sailing due south at 16 mph. At the same time, a second ship B, 32 miles south of A, is sailing due east at 12 mph.
(a) at what rate are they approaching or separating at the end of one hour?
(b) At what rate are they approaching or separating at the end of two hours?
(c) When do they cease to approach each other and how far apart are they at that instant. Penny Nom lui répond. 





Two boats 
20110329 

Mamie pose la question : Two speed boats leave the port of San Francisco traveling in opposite directions
at the same time.One boat travels 8 knots per hour faster than the other.After
one day's travel they are 1,920 nautical miles apart.What are the speeds of the
two boats. Penny Nom lui répond. 





Points with distance 5 from the point (2, 1) 
20110119 

Alexa pose la question : Find all points having a xcoordinate of 2 whose distance from the point (2, 1) is 5. Penny Nom lui répond. 





What is its speed in miles per hour? 
20110106 

Miriam pose la question : An airliner travels 125miles in 15minutes. What is its speed in miles per hour? Penny Nom lui répond. 





80 miles in 40 minutes 
20101208 

james pose la question : i travel 8o miles in 40 minutes. how fast am i going in mph Penny Nom lui répond. 





Can determine if it is scalene, isosceles, or equilateral 
20101201 

Jessie pose la question : find the measures of the sides of triangle KPL and classify each triangle by its sides. my first problem would be K(3,2) P(2,1) L(2,3) ...The three points they give you are the vertices of the triangle and you need to match them up. Draw the triangle and write in the vertices and the related point with the vertex. You will then do the distance formula three times to find the distance of all three sides. Once you have the three sides you can determine if it is scalene, isosceles, or equilateral...using the distance formula how do i solve this? Penny Nom lui répond. 





What is its speed in still air? 
20101128 

Shelby pose la question : An Airplane flies a certain distance in 3 hours going WITH a 40km/hr wind. It travels the same distance in 5 hours when going against the wind. What is it's speed and how long would it take to travel the same distance in still air? Distance = speed x time Penny Nom lui répond. 





How long will you and your friend be able to talk? 
20101123 

beket pose la question : you and your friend leave your home town at the same time your friend travels by train 45 mph directly east while you travel by train 50 mph going directly south you are talking on cell phone but you plan charges extra if the phones are 100 miles apart. How long will you and your friend be able to talk before the charges increase? Penny Nom lui répond. 





A train passes a car 
20101024 

Mary pose la question : A train, whose speed is 75 mph, takes 3 minutes to pass a car that is going 60 mph in the same direction. How long is the train? Stephen La Rocque lui répond. 





What are the speeds of the boats? 
20101021 

Adori pose la question : Two boats leave the port of San Francisco traveling in opposite directions at the same time. One boat travels 8 knots per hour faster than
the other. After one day's travel they are 1920 nautical miles apart. What are the speeds of the boats? Penny Nom lui répond. 





John and Mary are 200 miles apart 
20101020 

Sarah pose la question : two people, john and mary, are 200 miles apart and leave at the same time to meet.
They are driving toward each other at constant rate on the same straight road.
John is traveling at 45 mph and Mary is traveling at 35 mph.
When they meet, how many miles will they be from john's house? Penny Nom lui répond. 





A commuter airline between two cities 
20101019 

Adori pose la question : An airline runs a commuter between two cities that are 720 miles apart. If the average speed of the planes is increased by 40 miles per hour, the travel time is decreased An airline runs a commuter between two cities that are 720 miles apart. If the average speed of the planes is increased by 40 miles per hour, the travel time is decreased by 12 minutes. What airspeed is required to obtain this decrease in travel time? Penny Nom lui répond. 





Two jets leave denver at 9 am. 
20101015 

Carl pose la question : two jets leave denver at 9 am. One flying east at a speed of 50 km per hour greater than the other which is traveling west. At 11 am the planes are 2500 km apart. Find their speeds. Stephen La Rocque lui répond. 





Electronic cars around a circular track 
20101011 

Taylor pose la question : Cory and Melissa are racing electronic cars around a circular track. They begin at the same time going in the same direction. Cory's car completes a revolution in 35 secs, while Melissa's car completes a revolution in 30 secs. How long will it take them before both cars reach the starting point again simultaneously? Stephen La Rocque and Penny Nom lui répond. 





Two cars 
20100930 

Amanda pose la question : Two cars, 142 miles apart, start moving towards each other at the same
time. One is moving 3 times as fast as the other. If they meet 1.7 hrs
later, find the average speed of the slower car in miles per hour? Penny Nom lui répond. 





The distance between the origin and a moving point 
20100924 

Norma pose la question : I am having problems with this question
find the rate of change of the distance between the origin and a moving point on the graph of the function below if dx/dt=5 cm/sec
y=x^2+2 Penny Nom lui répond. 





What is the average speed? 
20100921 

Cindy pose la question : A boat travels downstream m nautical miles at d knots. It travels upstream m nautical miles at u knots. What is the average speed for the entire trip? Penny Nom lui répond. 





40 mph for 6 minutes 
20100920 

Andy pose la question : If i was traveling at 40 mph for 6 minutes, what is my distance in miles? Penny Nom lui répond. 





Driving north, east and west 
20100902 

dane pose la question : suppose that you drive 27 miles north, 31 miles east, 45 miles west, and 14 miles east. how far are you from your starting point? Penny Nom lui répond. 





Three cars 
20100830 

Anil pose la question : 3 cars are moving at speed of 4 kmph,5.5 kmph and 8 kmph in a circular track.The circular track has
a distance of 11 km. What is the time taken for all the 3 cars to meet at the starting point ? Stephen La Rocque lui répond. 





Running 100 km 
20100812 

thomas pose la question : Another athlete runs 8 laps every day on the same 400m running track. How many days will it take him to run a total of 100 km? Robert Dawson lui répond. 





Two cars on a circular track 
20100812 

david pose la question : If two cars starts to drive at point 1 and go in a circle when will they meet?
(one cars speed is faster the other ) all I need is a formula Tyler Wood lui répond. 





How fast is the second car taveling? 
20100726 

Jeff pose la question : A car is traveling 75 mph. It takes 12 miles to overtake a second car that was .5 mile ahead. How fast is the second car taveling? Stephen La Rocque lui répond. 





How much longer will it take to reach Toronto 
20100722 

Rachelle pose la question : We are taking a trip from Ottawa, ON to Toronto, ON. The total trip is 150 kms and will take us 4.5 hours. We have already driven 108 kms and there is still 42 kms left to go. If we are travelling 110 kms/hr, how much longer will it take to reach Toronto? Penny Nom lui répond. 





Pursuing Car 1 
20100713 

Mark pose la question : Car 1 is traveling down the road at 50mph and passes Car 2 is
sitting on the side of the road. Car 2 needs to catch Car 1 one half mile
down the road. How fast must Car 2 drive to catch Car 1 if Car 2
waits 10 seconds before pursuing Car 1? Robert Dawson lui répond. 





Half a mile at 50 mph 
20100713 

Mark pose la question : How long will it take a car to travel 1/2 mile at 50 mph? Robert Dawson lui répond. 





Going to the bike shop 
20100607 

Omi pose la question : Marie rode her bicycle from her home to the bicycle shop in town and then walked back home. If she averaged 6 miles per hour riding and 3 miles per hour walking, how far is it from her home to the bicycle shop if her total travel time was 1 hour? Penny Nom lui répond. 





What is the distance from A to C via B? 
20100524 

vivianne pose la question : The distance from A to B is d km and that from B to C is x km. if a bus maintains an average speed of 50km/hr between A and B and 60km/hr between B and C, it takes 3 hours to travel from A to C. If it maintains 60km/hr between A and B and 50km/hr between B and C, the journey takes 8 minutes less. What is the distance from A to C via B? Penny Nom lui répond. 





When will the second truck catch up to the first? 
20100522 

Josie pose la question : At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 45 mi/hr. At 11:00 a.m., a second truck leaves along the same route, travelling at 60 mi/hr. When will the second truck catch up to the first? Tyler Wood lui répond. 





How far am I from the starting point? 
20100518 

jilayna pose la question : if i walk 5 miles north, 7 miles east, and 3 miles north again.to the nearest tenth of a mile ,how far,in a straight line, am i from my starting point Penny Nom lui répond. 





Sammy and his motorboat 
20100511 

Jordan pose la question : Sammy owns a motorboat that travels 4 miles/hour in still water. It goes 12 miles upstream and 12 miles back again (downstream) in a total of 8 hours. Find the speed of the current of the river. Penny Nom lui répond. 





Line of sight 
20100506 

David pose la question : I live in St. Joseph, Michigan and there is an ongoing argument regarding lineofsight over the horizon.
Standing on a 200 foot high bluff here, people swear they can see the top of the Willis (nee Sears) Tower in Chicago, which is about 1653 feet high.
It is my contention that this is actually a "refracted reflection" and not directlineofsight.
So, to settle the argument, I'd sure like some simple explanation for this, even ifand I hope notI am incorrect.
David Harley Weston lui répond. 





40 miles at 50mph 
20100502 

gill pose la question : if a car travelled 40miles at 50mph, how long would it take? Penny Nom lui répond. 





When are the cars exactly 40 miles apart? 
20100501 

Maryanne pose la question : A car traveling east at 45 mph passes a certain intersection at 3pm. Another car traveling north at 60mph passes the same intersection 25 minutes later. To the nearest minute, figure out when the cars are exactly 40 miles apart. Penny Nom lui répond. 





If (x, 4) is equidistant from (5, 2) and (3, 4), find x. 
20100421 

abeth pose la question : If (x, 4) is equidistant from (5, 2) and (3, 4), find x.
Find the point on the y  axis that is equidistant from (4, 2) and (3, 1). Penny Nom lui répond. 





What is the speed of the current? 
20100317 

Carl pose la question : If you can row 3 mph in still water and paddle 3 miles upstream and return in 3.6 hours then what is the speed of the current? Penny Nom lui répond. 





The distance travelled by a minute hand 
20100306 

Patric pose la question : How much distance will the minutes hand of length 14mm of a clock
cover in moving from 5 to 10? Penny Nom lui répond. 





At what time would Joan catch Jo? 
20100304 

Rusty pose la question : If Jo left his house at 6:30am traveling at 5mph and Joan left the same house 7:00am traveling at 8mph, at what time would Joan catch Jo? Penny Nom lui répond. 





The vertices of an equilateral triangle 
20100219 

Emma pose la question : If two of the vertices of an equilateral triangle are (2,1) and (6,5), what
are the two possible coordinates of the third side of the triangle? Answer
in radical form. Tyler Wood lui répond. 





The center of a rectangular room 
20100216 

Diana pose la question : Consider a rectangular room, 15 feet wide, 30 feet long and 12 feet high. What is the exact distance from any of the 8 corners of the room and its geometric center? Can you write a generic formula for such a distance? And if we keep the same proportions on all dimensions, can you write an expression for the same distance as a function of the floor perimeter? Penny Nom lui répond. 





The distance from a chord to an arc 
20100211 

matt pose la question : hello, I have to layout a radius without being able to pull from the center my radius is 3819.53 feet and i have a chord length of 275.59 feet if i broke that up into 25.05 feet sections how would i calculate the lengths from my chord to that radius? Robert Dawson lui répond. 





A decrease in travel time 
20100130 

Mike pose la question : if a 100 mile trip averages 50 miles per hour, how much distance does one need to travel at 90 miles per hour to decrease travel time by 10% Stephen La Rocque lui répond. 





A tunnel from Toronto to Montreal 
20100125 

Dave pose la question : I want to make a tunnel from Toronto to Montreal (for example)
Something like this
http://mathcentral.uregina.ca/QQ/database/QQ.09.09/h/grant1.html

My coordinates are 45.442455,73.861340 (Montreal) and 43.442455, 79.861340 (Toronto)
I need to know how to find arc distance, chord distance and radius
What websites can i find for this subject
Google has many but they are useless (blah blah) websites
LOL
Thanks Chris Fisher and Robert Dawson lui répond. 





How long will it take to go 1 mile at 80 mph? 
20100119 

Susann pose la question : How long will it take to go 1 mile at 80 mph? Penny Nom lui répond. 





How fast am I walking? 
20100110 

KEVIN pose la question : IF I WALK 3 MILES IN 28 MINUTES, HOW FAST AM I WALKING? Penny Nom lui répond. 





Gail and Bill drove to the beach 
20100110 

Nicole pose la question : Gail and Bill drove to the beach at an average speed of 50mph. They return home over the same road at an average speed of 55mph. The tip took 30 min less time. How far is the beach from their house? Stephen La Rocque lui répond. 





... the original speed of the car was? 
20091208 

venkatesh pose la question : A car travels a distance of 840 miles at a uniform speed if the speed of the car is increased 10 m/h more ,it takes two hours less to cover the same distance ,the original speed of the car was?
options:75 mh,65 m/h,60 m/h,55 m/h,45 m/h . Claude Tardif lui répond. 





Walking at 4/5 of his usual speed 
20091205 

venkatesh pose la question : walking at 4/5 of his usual speed a man is 10 minutes too late .find his usual time. Penny Nom lui répond. 





At what rate are the people moving apart? 
20091101 

saira pose la question : A man starts walking north at 4 ft/s from a point P. 5 minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 minute after the woman starts walking ? Harley Weston lui répond. 





How far will it travel in 45 mins? 
20091027 

maison pose la question : I'm stuck on the formula i dont remeber what it is can you help me out
a car is traveling 80km/h how far will it travel in 45 mins Robert Dawson lui répond. 





Two jets are traveling towards each other 
20091005 

jake pose la question : two jets are traveling towards each other and are 4000 km apart. the rate of one jet is 100 km/h faster than the rate of the other. if the jets pass each other after 2.5 hrs what is the rate of speed of the faster jet? Penny Nom lui répond. 





How long (distance)did it take to stop? 
20090930 

mary pose la question : a car travelling at 50km/h stops in 4 seconds.how long (distance)did it take to stop? Harley Weston lui répond. 





How fast am i going? 
20090928 

ron pose la question : how fast am i going if i drive 40 miles in 20 minutes...what is the formula for figuring this out. Leeanne Boehm lui répond. 





How long would it take the students to arrive at their campsite 
20090918 

amanda pose la question : ..."A group of 5th grade student in New Zealand are going camping. They will hike from Wellingto to Ruapehu. Then they will follow a trail for another 1/2 mile to their campsite." Ok, 1 mile equals 5,280 feet. The class decided one step length is equal to 15 inches and there are 85 steps in 1 minute. Now for the question: About how long would it take the students to arrive at their campsite, if they don't make any stops??? Robert Dawson lui répond. 





Average speed 
20090911 

john pose la question : Sally travels by car from one city to another. She drives for 20.0 min at 68.0 km/h, 40.0 min at 37.0 km/h, and 51.0 min at 77.0 km/h, and she spends 12.0 min eating lunch and buying gas.
What is the average speed for the trip? Penny Nom lui répond. 





Paddling downstream 
20090904 

Nicole pose la question : You head downstream on a river in a canoe. You can paddle at 6 km/h and the river is flowing at 2.4 km/h. How far downstream will you be in 55 minutes? Penny Nom lui répond. 





The distance traveled on a bike 
20090828 

Dennis pose la question : I would like to calculate the distance traveled on a bike based on the size of the tire and on the number of revolutions per minute. This is based on the rider traveling at a constant speed. Stephen La Rocque lui répond. 





Two cars 
20090809 

Jayna pose la question : If a car was traveling 20mph east and another car was traveling 30mph west,
assuming they were 300 miles apart, at what point would they collide at the center? Penny Nom lui répond. 





A boat goes up stream 30 miles and ... 
20090629 

Mohsin pose la question : A boat goes up stream 30 miles and down stream 44 miles in 10 hours. Again it goes up stream 40 miles and down stream
55 miles in 13 hours. Find the rates of the stream and of the boat.
I am confused and unable to get an answer. Please help.
Thanks Robert Dawson lui répond. 





A train crosses a tunnel 
20090625 

Sabrina pose la question : A goods train of length one and half kilometres, is moving at a speed of 27km/hr. find the time taken by it to cross a tunnel of length seven and half kilometres Penny Nom lui répond. 





The Pythagorean theorem 
20090624 

supreet pose la question : What are some realworld applications of the Pythagorean theorem?
and
How are the Pythagorean theorem and the distance formula related? Harley Weston lui répond. 





Driving to school and back 
20090517 

marylyne pose la question : suppose you are late for school and you drive from your house at a constant rate of 70 mph.when class is over, you drive home at a more leisurely 50mph. what is your average speed? Penny Nom lui répond. 





What was her rate of speed? 
20090506 

Stephanie pose la question : beth paddled a canoe to a picnic spot in the river in 2 hours. she traveled up the stream back to the original spot in three hours. the current was two miles per hour.
What was her rate of speed? Robert Dawson and Stephen La Rocque lui répond. 





Two airplanes are 300 miles apart 
20090422 

afzalsultan pose la question : Two airplanes are 300 miles apart and flying directly towards each other.One is flying at 200 miles per hour, and the other at 160 miles per hour.How long will it take for the two planes to meet Robert Dawson lui répond. 





Passing three cars 
20090416 

Larry pose la question : If 3 cars are going 50 mph, and a fourth car pass the first 3 cars in 200 feet, how fast is the fourth car going? Stephen La Rocque lui répond. 





A man travels a total of 8km in 6 hours 
20090410 

Kieran pose la question : Hello!
I was wondering if you could help me with this question! Thank you
A man travels a total of 8km in 6 hours
if his speed was xkm/4hours in the first stage
then his speed was 8x/2hours in the second part.
If the average speed for the first leg of the journey
was 1.1km/h faster than the second part: find x Penny Nom lui répond. 





How many miles per hour was it traveling? 
20090404 

Regina pose la question : a car traveled 16 miles in 30 minutes. How many miles per hour was it traveling? Penny Nom lui répond. 





310,000 cubic yards of concrete 
20090331 

Mary pose la question : I am interested in getting a good, general analogy for 310,000 cubic yards of concrete 
ideally as a length (miles) or distance between two US cities. Thanks! Penny Nom lui répond. 





A trip at two different speeds 
20090328 

A student pose la question : Good afternoon!
An automobile travels 4 hours at an average speed of 42MPH. How much
longer must the truck travel at an average speed of 55MPH so the
average speed for the total trip will be 50MPH?
Thank you for your assistance! Penny Nom lui répond. 





The speed of a tire in revolutions per minute 
20090328 

Jules pose la question : Suppose that a tire on a car has an outer diameter of 2,5 feet. How many
revolutions per minute does that tire make when the car is travelling 60
miles per hour? (hint:first find the angular velocity in radians per minute.) Harley Weston lui répond. 





Subdividing a foursided lot 
20090327 

kannan pose la question : i have a 1.5 acre land having four sides
AB=64.8 meters
BC=94.2 meters
CD=54.4 meters
DA=127.2 meters
angle at D is 90
the side AB (frontage)is road facing i want to split the plot in to two halves
having same almost area and almost equal frontage, kindly help me, if possible
explain with drawing.
Regards
Kannan Harley Weston lui répond. 





A 5 ounce object traveling at 60 mph 
20090327 

James pose la question : if a 5 ounce object traveling at 60 mph at 100 feet above the ground, how far will it travel forward before hitting the ground. Robert Dawson lui répond. 





Two racers going around a track 
20090226 

larisa pose la question : One racer makes a complete trip around the track every 28 seconds, while the other racer completes a trip around the track every minute. How many times will the first racer pass the second racer in 30 minutes? Robert Dawson lui répond. 





Fred in his canoe 
20090221 

Susan pose la question : Fred paddled for 4 hours with a 7 km/hr current to reach a campsite. The return trip against the same current took 9 hr. Find the speed of Fred's canoe in still water. (Remember to include correct units) Penny Nom lui répond. 





How long will it take Jake to catch up? 
20090220 

Rebecca pose la question : John is walking 2 miles per hour. Jake leaves home 15 minutes later and is walking 5 miles per hour . How long will it take Jake to catch up ? Penny Nom lui répond. 





Joggong in opposite directions 
20090219 

Mallory pose la question : Emma and her mother jog along a milelong circular path in opposite directions. They begin at the same place and time. Emma jogs at a pace of 4 mi/h, and her mother runs at 6 mi/h. In how many minutes will they meet? Robert Dawson lui répond. 





Catching up to the car ahead 
20090206 

Ashley pose la question : Car A passes Car B on a freeway. The driver of Car B decides to speed up to 75 mph and catch Car A, whose driver is maintaining a constant speed.
Looking ahead, the driver of Car B sees Car A go under an overpass oneqarter mile up the road. Exactly six minutes later, Car B catches Car A.
How fast was the car going? Penny Nom lui répond. 





How long will it take to make 50 miles? 
20090126 

Tamara pose la question : An object is traveling at a speed of 45 km/minute. How long will it take to make 50 miles? Robert Dawson and Stephen La Rocque lui répond. 





A tortoise and a hare 
20090120 

jenna pose la question : A tortoise can run with a speed of 0.14 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 1.0 minutes. The tortoise wins by a shell (25 cm).
(a) How long does the race take?
(b) What is the length of the race? Stephen La Rocque lui répond. 





Parallel distances from arc of circle to its chord 
20090116 

Roger pose la question : Give the length of a chord of a circle and the height of the arc, how do I
find the lengths of equally spaced parallel lines drawn from the chord to
the arc. (Think of the lengths of vertical slats in an archtopped bed head
board.) Chris Fisher and Stephen La Rocque lui répond. 





Two trains 
20090112 

Shanise pose la question : If train A leaves the train station at noon traveling 45mph and train B leaves the train station at 1pm traveling 65mph, what time will the trains meet? Robert Dawson lui répond. 





How far are the boats apart? 
20081114 

dom pose la question : Two boats leave port at the same time. They leave at 150 degree angle. One boat travels at 10mph and the other at 20mph. After two hours how far are the boats apart? Penny Nom lui répond. 





A circle tangent to a line and with its centre on another line 
20081101 

liza pose la question : Find the equation of the circle of radius squareroot 26 tangent to the line 5x+y=13 and having its center on the line 3x+y+7=0. Chris Fisher lui répond. 





The speed of the boat and the river 
20081028 

Jenn pose la question : On the Amazon River in Brazil, a boat goes 50 miles upstream in 3 hours, later the boat returns to the starting point in 2 hours. What is the speed of the boat in still water and what is the current speed in this part of the Amazon? Penny Nom lui répond. 





Travelling home o the train 
20081018 

nadha pose la question : MELISSA reached the railway station at 9.30am.The distance between the railway station and her hometown was 720 km.At what time would she reach her hometown if the train travelled at an average speed of 120 km/h? Penny Nom lui répond. 





If you are driving 40mph, how long does it take to go 2.5 miles? 
20081018 

Nathan pose la question : If you are driving 40mph, how long does it take to go 2.5 miles? Penny Nom lui répond. 





Two planes flying in opposite directions 
20081016 

samantha pose la question : i don't understand how to do this problem.two jets leave denver at 9:00 am one flying at a speed 50 km/h greater than the other, which is traveling west. at 11:00 am the planes are 2500 km apart. find their speeds. Penny Nom lui répond. 





5 units from (1,2) and 5 units from yaxis 
20080926 

Shaun pose la question : Find the points (x,y) in the plane that are 5 units from (1,2) and 5 units from yaxis.
I am more interested in the approach, in general terms, than the numerical values. Penny Nom lui répond. 





Distance, time and rate 
20080911 

Pauline pose la question : During the first part of a trip, a canoeist travels 100 miles at a certain speed. The canoeist travels 25 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 5 hrs. What was the speed on each part of the trip? Penny Nom lui répond. 





Running in opposite directions 
20080729 

maame pose la question : if i run six miles per hour and my friend runs four miles per hour and we both run for two hours in opposite directions how many miles apart will we be after the two hours? Janice Cotcher and Penny Nom lui répond. 





Braking Distance Relationship 
20080723 

Mr.Adjetey pose la question : you are travelling at 30km/h.According to the rule of thumb,the braking distance is 9 metres when braking normally.How long is the braking distance under the same conditions when travelling at 60km/h? Janice Cotcher lui répond. 





Going from 45 mph to 35 mph 
20080709 

Terry pose la question : How long (distance  feet AND time) will it take a car traveling at 45 mph to slow down to a speed of 35 mph? Harley Weston lui répond. 





Two trains 
20080707 

Elisha pose la question : Trains at each end of the 50. km long Eurotunnel under the English Channel start at the same time into the tunnel. Find their speeds if the train from France travels 8. km/h faster than the train from England and they pass in 17 minutes. Janice Cotcher and Penny Nom lui répond. 





A boat travels 20 kms upstream in 6 hrs ... 
20080707 

vidya pose la question : A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs. Find the speed of the boat in still water and the speed of the water current? Penny Nom lui répond. 





How far from each other will they be? 
20080618 

kerstin pose la question : a women jogging at 6 mi/h passes a men biking in the opposite direction at 12 mi/h. if the maintain their speeds, how far from each other will they be 10 minutes after passing? Stephen La Rocque lui répond. 





The length of a shadow 
20080527 

Simon pose la question : A figure skater is directly beneath a spotlight 10 m above the ice. IF she skates away from the light at a rate of 6m/s and the spot follows her, how fast is her shadow's head moving when she is 8m from her starting point? The skater is (almost) 1.6m tall with her skates on. Stephen La Rocque and Harley Weston lui répond. 





55 mi/h for 4 h 
20080521 

brenda pose la question : mary drove her car at 55 mi/h for 4 h. Use the formula d = rt (where d is the distance traveled, r is the rate of travel and t is the time traveled) to determine how far mary traveled. Penny Nom lui répond. 





A crate is launched from an airplane 
20080510 

Michelle pose la question : A crate is launched from an airplane, 75 feet above the ocean, with an initial vertical velocity of 60 feet per second. How many seconds will it take for the crate to hit the water? Round to the nearest hundredth. Harley Weston lui répond. 





How far is it from the top to the bottom of the mountain? 
20080509 

Matthew pose la question : A ski lift carries a skier up a slope at a rate of 2 miles per hour. Following the same path down the mountain, the hiker has a rate of 4 miles per hour. If the round trip took 3 hours, how far is it from the top to the bottom of the mountain? Penny Nom lui répond. 





5 miles per hour for 30 minutes 
20080429 

Joshua pose la question : A boat travels at a constant rate of 5 miles per hour for 30 minutes. How far does the boat go in that time? Penny Nom lui répond. 





Driving home from work 
20080425 

brittanygrant pose la question : brittany house is 37 miles from his job. He leaves at 6:25pm, and drives 49 miles per hour. what time will he get beck home? Penny Nom lui répond. 





45 miles at 50 mph 
20080418 

Willie pose la question : If you travel at 50 mph, how long does it take to go 45 miles? Penny Nom lui répond. 





Jill and Matt run on a 400 meter long oval track 
20080411 

jamie pose la question : Jill and Matt run on a 400 meter long oval track. Jill and Matt each run 10 laps daily and both run in the same lane.
One day Jill and Matt began at the same point, but ran around the track in opposite directions. Jill ran at a constant speed that was 2 meters per second faster than matts constant speed. Jill passed Matt for the first time in 40 seconds. Jill ran at a constant rate of how many meters per second? Penny Nom lui répond. 





Two trains left the city at the same time 
20080411 

J pose la question : Two trains left the city at the same time, traveling in opposite directions. The eastbound train travels for ten hours and the westbound train travels for 5 hours. They are now 1300 km apart. The westbound train's rate is 20 km/hr faster than the eastbound train. Find the speed of each train. Penny Nom lui répond. 





A river boat 
20080409 

jessica pose la question : heres a crazy riddle a river boat that travels 12 mph in still water makes a
pleasure trip to a city upstream and back in 3 hours. If the city is 10 miles aways, what is the rate of the current Stephen La Rocque lui répond. 





The shortest distance from a point to a line 
20080403 

Katherine pose la question : How do I find the shortest distance from the point (3,5) to the line x = 2 Stephen La Rocque lui répond. 





Distance seen 
20080318 

Nev pose la question : formule: Distance Seen
S = 1.225 x square root of H
S = Distance seen in Miles
H = Height in Feet
What dose 1.225 Relate To ? Stephen La Rocque lui répond. 





A train and a boat 
20080315 

Sabrina pose la question : A railroad bridge is 20m above, and at right angles to, a river. A person in a train travelling at 60 km/h passes over the centre of the bridge at the same instant that a person in a motorboat travelling at 20km/h passes under the centre of the bridge. How fast are the two people separating 10s later? Harley Weston lui répond. 





Two points moving on a straight line 
20080306 

laura pose la question : Particle A travels at constant speed of 1.0ms1 in straight line, passing particle B, at which time particle B beings traveling with constant acceleration of 0.2ms2 until reaching Particle A.
What equations represent the displacement of particle A and particle B measure from the point they first pass?
How long does it take for particle B to catch up with particle A?
What is the speed of particle B when reaching particle A?
What distance have both particles traveled from where they first pass to where they meet again?
Calculate the displacement of both particle A and B at 2 second intervals between t=0s and t=12s? Stephen La Rocque and Penny Nom lui répond. 





A dog and a fire hydrant 
20080306 

Brittany pose la question : A bulldog is walking east along Main St. at a speed of 4 miles per hour. He wants to get to a fire hydrant on a parallel street. Initially, the bearing to the hydrant is south 62 degrees east. After 20 minutes, the bearing is south 41 degrees east. If the bulldog continues his walk, what is the closest he will be to the hydrant? Stephen La Rocque lui répond. 





What point on the graph y = e^x is closest to the origin? 
20080303 

elvina pose la question : What point on the graph y = e^x is closest to the origin? Justify your answer. Stephen La Rocque lui répond. 





A package of supplies is dropped from a plane 
20080229 

beth pose la question : An airplane flies west at a speed of 200m/s. A package of supplies is dropped from the plane to some campers. if the plane is at an altitude of 1000meters, how far from the campers should the package be dropped to land near them? ignore wind resistance. Stephen La Rocque lui répond. 





A ball bearing is placed on an inclined plane 
20080215 

Leah pose la question : A ball bearing is placed on an inclined plane and begins to roll.
The angle of elevation of the plane is x.
The distance (in meters) that the ball bearing rolls in t seconds is s(t) = 4.9(sin x)t^2.
What is the speed of the ball bearing,
and what value of x will produce the maximum speed at a particular time? Penny Nom lui répond. 





The distance around a building 
20080206 

olivia pose la question : If you walk around a building that is 102,869 sq ft, how many miles is that? Penny Nom lui répond. 





Two cars are on a collision course 
20080206 

Danielle pose la question : Two cars are on a collision course, heading straight towards each other. One car is traveling 45 miles per hour and the other is traveling 75 miles per hour. How far apart will the two cars be one minute before they collide. Penny Nom lui répond. 





How fast does each travel? 
20080205 

kRYSTAL pose la question : May rides her bike the same distance that leah walks. May rides her bike 10km/h faster than leah walks.
Its takes May 1 hour and Leah 3 hours to travel the sam distance, how fast does each travel? Penny Nom lui répond. 





Driving from Mathville to Bioville 
20080201 

Ariel pose la question : Mahtab took hours to drive from Mathville to Bioville, a total of 485 km.
She drove part by highway at 80 km/h and part by slow roads at 30 km/h.
How many hours did she drive each type of road? Penny Nom lui répond. 





2 km at 5.00 m/s 
20080129 

Stephanie pose la question : How much time does it take for a student running at an average speed of 5.00 m/s to cover a distance of 2.00 km? Penny Nom lui répond. 





How far from the corner will the police catch the car? 
20080127 

Joel pose la question : A car is going down the road at a speed of 90km/h in a 50km/h zone.
As the car passes a corner, a police cruiser sitting there notices it. Five
seconds later the cruiser begins accelerating at 5.0m/s squared.
Assuming that he is able to maintain this acceleration, how far from the
corner will the police catch the car? How fast will the cruiser be going? Stephen La Rocque lui répond. 





Two bikers race on a circular track 
20080117 

Abby pose la question : Two bikers race on a circular track. Biker A can circle the track in 8 minutes, and Biker B can circle the track in 6 minutes. From the start of the race, how many minutes will it be before Biker B overtakes Biker A? Stephen La Rocque and Penny Nom lui répond. 





Driving towards each other 
20080116 

Shanda pose la question : Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 miles per hour faster than Charlene. They meet in 5 hours. Find Charlene's speed. Stephen La Rocque lui répond. 





The distance back to school 
20080116 

priya pose la question : a boy starts travelling from his house to his school. He travels 1 km east and then
2km north and then 1 km East and 1km North and then 1 km east and then 1 km North.
find out the shortest distance for him to reach his shool? Harley Weston lui répond. 





How fast does Kim paddle in still water? 
20080107 

Fran pose la question : Kim paddled a canoe 10 km upstream and then paddled back to his starting point. If the rate of the current was 2 km/h that day and the whole trip took 3.75 h, how fast does Kim paddle in still water? Penny Nom lui répond. 





What is the speed of the plane in still air? 
20080105 

oscar pose la question : A plane flies 400 miles with the wind and 340 miles against the wind
in the same length of time. If the speed of the wind is 24mph, what is
the speed of the plane in still air? Penny Nom lui répond. 





The shortest distance to a line 
20080104 

nana pose la question : 3y+4x12=0 is the equation of the line AB on a graph......the line AB joins both y and x axises together.....point A is on y axis and its value is 3....point B is on x axis and its value is 4.....Question : from point O(0,0).find the point ont the line AB Stephen La Rocque lui répond. 





Sally, Charlie and Snoopy in a race 
20071229 

Marie pose la question : Sally and Charlie are having a race. Charlie gets a 900 foot lead and runs 8
inches per second. Sally begins at the starting line and runs at a rate of 5 ft per
second. Charlie's dog is also in the race. Snoopy starts 1100 feet ahead of Sally and runs
toward the starting line at a rate of 1 foot per second.
When will Charlie and Snoopy past each other and how far will they be from the starting line? Penny Nom lui répond. 





Two cars drive in opposite directions 
20071223 

dale pose la question : 2 cars starting from the same point in opposite direction on a straight highway drove 6 miles then turn left and drove 8 miles. How far apart are the cars? Penny Nom lui répond. 





Two cars going in opposite directions 
20071125 

alexa pose la question : two cars leave town at the same time going opposite directions. one of them
travels at 55 mph and the other at 65 mph. in how many hours will they be
150 miles apart? Penny Nom lui répond. 





Stopping distance and speed 
20071111 

Joanna pose la question : The algebraic relation d=0.0056^2 ++ 0.14s models the relation between a vehicle's stopping distance d, in metres, and its speed s, in kilometres per hour.
(a) What is the fastest you could drive and still be able to stop within 80 m?
(b) What is the stopping distance for a car travelling at 120 km/h?
(c) Estimate the length of an average car. How many car lengths does the the stopping distance in (b) correspond to? Stephen La Rocque lui répond. 





Two cars 
20071104 

Jalisa pose la question : If Car "A" is traveling 50 miles per hour and car "B" is traveling 60 miles per hour, how long will it take car "B" to catch up to car "A" if car "A" had a 15 mile head start. Penny Nom lui répond. 





A car traveled 175m at certain speed 
20071028 

abdi pose la question : A car traveled 175m at certain speed. if the speed had been 20 mph faster,
the trip could have been made in 1 hr less time. find the speed? Stephen La Rocque lui répond. 





How to solve related rates problems 
20071027 

David pose la question : Can you plz explain how and where you come up with an equation to solve this?
Find the rate of change of the distance between the origin and a moving point on the graph of y = sin x if dx/dt = 2 centimeters per second. Stephen La Rocque lui répond. 





Area of a triangle formed by three points on a graph 
20071026 

Betty pose la question : My question is 'find the are of a triangle whose vertices have
coordinates (3,5),(6,5), and (4,10) Stephen La Rocque lui répond. 





Hitting golf balls 
20071003 

Jessi pose la question : Ben is out at the practice range hitting golf balls. How much further will a golf ball with an initial speed of 75.0 m/s go when projected at 45.0 degree than when projected at 30.0 degree? Stephen La Rocque lui répond. 





Will the stone catch up the parachute? 
20071003 

anoi90 pose la question : a small parachute dropped from a 30.0 m high cliff falls with a constant velocity of 1.20 m/s. 20.0 s after the parachute is dropped, a stone is dropped from a cliff. Will the stone catch up the parachute before it reaches the ground? (Include numerical proof!) Stephen La Rocque lui répond. 





Motion along a line 
20071002 

Claudette pose la question : If the position function of a particle is x(t) = sin^2(2t), find the distance that the particle travels from t = 0 to t = 2 Harley Weston lui répond. 





Points that are 15 units from the origin 
20070920 

Paula pose la question : Find the coordinates of any point(s) 15 units away from the origin with an
xcoordinate of 9.
I was given the answer: (9,12) and (9,12), but I do not understand how these numbers
were calculated. Thank you for your help! Stephen La Rocque lui répond. 





A round reservoir 
20070814 

lee pose la question : if you have a 46 acre round reservoir, how far around in feet would that be ?? Penny Nom lui répond. 





Three runners on a circular track 
20070804 

Arul pose la question : A, B and C run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph, 6 kmph and 8 kmph respectively. If the length of the track is 400 meters, when will A, B and C meet at the starting point for the first time after they started the race?
4 In the above question, when will they meet for the first time after they started the race? Penny Nom lui répond. 





At what speed does Chuck travel? 
20070727 

Jessica pose la question : Chuck and Dana agree to meet in Chicage for the weekend. Chuck travels
224 miles in the same time that Dana travels 204 miles. If Chuck's rate of travel
is 5 mph more than Dana's, and they travel the same length of time, at what speed
does Chuck travel? Harley Weston lui répond. 





Circumscribing a golden cuboid with a sphere: surface areas 
20070614 

Ainslie pose la question : A golden cuboid is defined as a rectangular prism whose length, width and height are in the ratio of phi : 1 : 1/phi.
Prove that the ratio of the Surface Areas of the golden cuboid to that of the sphere that circumscribes it is Phi : Pi. Stephen La Rocque lui répond. 





Throwing a ball from the top of a building 
20070612 

Gilligan pose la question : s = distance (in feet)
Building height = 96 feet
t = seconds
Use s = 96 + 80t  16t^2 to answer the question given below.
QUESTION:
After how many second t will the ball pass the top of the building on its way down? Penny Nom lui répond. 





I have N data points in mdimensional space 
20070429 

Sid pose la question : Hi,
Given below is the problem that I am facing:
I have N data points in mdimensional space. I know the mean euclidean distance of the points from one given point (say the origin). Now I wish to find the mean Euclidean distance of the N points from another given point. How can i do this without knowing the values of the N points and only knowing the 2 origin points and the mean distance from one of the origin points ? Penny Nom lui répond. 





What is the speed of the boat? 
20070422 

Sonja pose la question : A boat on a river travels downstream between two points, 20 miles apart, in one hour. The return trip against the current takes 2 1/2 hours. What is the speed of the boat? The answer in the book says 14 mi/hr, but I don't understand how to figure it out. It must be very simple, but I'm stuck. Thank you so much for helping me out. This is a FANTASTIC website! Sonja Penny Nom lui répond. 





How far apart are the cars? 
20070407 

ian pose la question : 2 cars set off in opposite directions and travel for 6 miles,
they both take a left turn, and travel for a further 8 miles...........
how far apart are the cars???
a) 10 miles
b) 22 miles
c) 20 miles
d) 18 miles Penny Nom lui répond. 





A delivery driver travels from Belfast to an address in Dublin 
20070404 

Gerry pose la question : A delivery driver travels from Belfast to an address in Dublin.The total distance fro the round trip
was x%.The time required for the forward trip was xx hours.Due to heavy traffic during the return trip an extra xx was required
How much slower was the delivery drivers speed on the return trip?.
I was wondering what equation would you use to solve this question. Penny Nom lui répond. 





Tina swims 4 miles upstream at 1 mph 
20070331 

Michael pose la question : If Tina swims 4 miles upstream at 1 mph and back downstream to the same point to the same point at 4 mph, what is her average speed? Penny Nom lui répond. 





Two busses 
20070315 

Devon pose la question : A bus leaves a station at 1 p.m., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart? Steve La Rocque and Penny Nom lui répond. 





How long does she have to get out of the way? 
20070223 

Sharon pose la question : How do I solve this? The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s  16t^2 , where t is the time the object has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 6 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.) Penny Nom lui répond. 





How far from the port is the point where the ship turned? 
20070219 

Chris pose la question : I was confused on this problem. If a ship leaves port and travel due east. At a certain point it turns 65 degrees south of east and travels b=322 nautical miles to a point 461 nautical miles on a direct line from port. How far from the port is the point where the ship turned? Stephen La Rocque lui répond. 





Increasing speed and decreasing time 
20070218 

Nigel pose la question : I am completely lost...can you help with this: The time, t, to travel a distance, d, at a constant speed, v, can be obtained from the formula: d = vt. If the speed is increased by x, find an expression to represent the decrease in time to travel the same distance. Stephen La Rocque lui répond. 





Romeo is throwing pebbles 
20070208 

Jessie pose la question : Romeo is chucking pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 4.5m below her window and 5.0m from the base of the wall. How fast are the pebbles going when they hit her window? Stephen La Rocque lui répond. 





A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream 
20070127 

Liz pose la question : A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream. The speed of the boat in still water is 15 mi/h greater than the speed of the current. Find the speed of the current. Stephen La Rocque lui répond. 





Freefalling objects 
20070125 

Patricia pose la question : How long will it take a stone dropped from atop a 1000meter tall building to reach the ground? Stephen La Rocque lui répond. 





A college student jogs from his home to the beach 
20070123 

Garmani pose la question : A college student jogs from his home to the beach at 8 miles per hour. He visits with his friends on the beach for 4 hours, and then his friends drive him home at the rate of 40 miles per hour. If the student returns home after 6 hour, what is the distance from his home to the beach? Penny Nom lui répond. 





What is the speed of each boat per hour? 
20070122 

Garmani pose la question : Two tuna boats leave the same port traveling in opposite directions along the west coast of the United States. One boat travels 5 miles per hour faster than the other. At the end of one day's travel they are 1,080 miles apart. What is the speed of each boat per hour? Penny Nom lui répond. 





At what speeds were they travelling? 
20070116 

Maria pose la question : Kim and Julie are joining Nicole at her parents cottage for the weekend. The cottage is 150km away from their neighbourhood. Kim can leave directly after school but Julie will be leaving after band practice, an hour and a quarter later. Kim took her time and drove slowly, averaging 20km/h slower than Julie. They both arrived at the same time. At what speeds were they travelling? Stephen La Rocque lui répond. 





What is his rate of walking for the entire trip? 
20070112 

Garmani pose la question : A man walks 500 feet at 4 miles per hour and returns to the starting point at 3 miles per hour. What is his rate of walking for the entire trip? Stephen La Rocque lui répond. 





Throwing a stone downwards 
20070112 

Momo pose la question : a stone is thrown vertically downward with an initial speed of 14m/s from a height of 65 m above the ground. A) how far does the stone travel in the first 2.0 s? B) what is the stone velocity just before it hits the ground? Stephen La Rocque lui répond. 





What is the speed of the current? 
20070107 

Bob pose la question : A motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes; the return trip takes 15 minutes. What is the speed of the current? Haley Ess lui répond. 





Cary was going to meet Jane at the airport, ... 
20061211 

Carmen pose la question : cary was going to meet jane at the airport, if he traveled 60mph, he would arrive one hour early, and he traveled 30 mph, he would arrive one hour late. how far was the airport? recall: distance=speed(time) Stephen La Rocque lui répond. 





Rate of a boat and a river 
20061209 

Dale pose la question : If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hour, the rate of the river and the rate of the boat in still water respectively are ____? Stephen La Rocque lui répond. 





The Metra and the Amtrack 
20061203 

Amy pose la question : A Metra commuter train leaves Union Station in Chicago at 12 noon. Two hours later, an Amtrak train leaves on the same track, traveling at an average speed that is 50 miles per hour faster than the Metra train. At 3PM the Amtrak train is 10 miles behind the commuter train. How fast is each going? Stephen La Rocque and Penny Nom lui répond. 





A trip on the Grand River 
20061130 

Kristy pose la question : Romo decided to make a 28km trip up and 28km trip down the Grand River. the speed of the current is 3km. one way Romo travelled with the current and the other way against the current. During his trip, Romo stopped for half an hour for lunch. if Romo's total trip lasted 6hours, how fast did he travel? Stephen La Rocque lui répond. 





Two trains left the station at the same time and traveled in opposite directions. 
20061118 

Tori pose la question : Two trains left the station at the same time and traveled in opposite directions. The E train averaged 130 km/h. The A train's speed was 110 km/h. In how many hours were they 480 km apart? Stephen La Rocque lui répond. 





Find the distance function s(t) given the acceleration function a(t) 
20061116 

David pose la question : Find the distance function s(t) of the acceleration function: a(t)= sin(0.1t)/ cos^3(0.1t) Penny Nom lui répond. 





Going from one town to another 
20061104 

Austin pose la question : Going from one town to another,a man drives his car at 35 miles an hour and returning he drives at 25 miles an hour. the round trip takes 6 hours. Find the distance between the towns. Stephen La Rocque lui répond. 





Paddeling on the Alleman River 
20061031 

Anita pose la question : Len is planning a threehour trip down the Alleman River and back to his starting point. He knows that he can paddle in still water at 3 mph and that the rate of the current is 2 mph. How much time can he spend going downstream? How far downstream can he travel? Penny Nom lui répond. 





The distance from a point to a line in 3 space 
20061029 

Marie pose la question : find the distance from the point (1, 2, 3) to the line x = y = z2 Penny Nom lui répond. 





How long will it be before the two snails meet? 
20060921 

Brett pose la question : Two snails are 8.5 feet apart. They start to crawl toward each other at the same time. One of them travels at the speed of 6 in. per minute, while the other zips along at 11 inches per minute. How long will it be before the two snails meet? Penny Nom lui répond. 





Flying with and against the wind 
20060706 

Tim pose la question : When a plane flies with the wind, it travels 800 miles in 4 hours. Against the wind it takes 5 hours to cover the same distance. Find the rate of the plane in still air and the rate of the wind. Stephen La Rocque lui répond. 





A boat travels 60 miles upstream ... 
20060528 

Teenarick pose la question : A boat travels 60 miles upstream against the current in 3 hours. It takes 2 hours for the return trip. Find the speed of the boat in still water. Penny Nom lui répond. 





The distance to the moon from earth 
20060519 

Maira pose la question : Using trigonometric functions first, show how to find the distance to the moon from earth and then find the radius of the moon. Stephen La Rocque lui répond. 





Absolute Value vs. Standard Deviation ? 
20060424 

Sonia pose la question : Why we don't just take the average of the absolute value of difference scores (use the mean deviation) to describe variability instead of calculating the standard deviation? Claude Tardif lui répond. 





Distance to the horizon 
20060420 

Raymond pose la question : If I stand on the edge of the sea on a beach and look into the horizon, is there a way or formula for calculating the distance from myself to the horizon? Stephen La Rocque lui répond. 





Wes and Tony live 360 km apart. 
20060401 

Thiru pose la question : Wes and Tony live 360 km apart. If Wes travels at 80 km/h towards Tony. And Tony travels at 100 km/h towards Wes, how long will it take before they meet. Penny Nom lui répond. 





How far from Earth is Neptune? 
20060321 

Scott pose la question : A laser beam travelling at the speed of light bounces off the planet Neptune and returns to Earth in 29 960.72 s. The speed of light is 299 792.5 km/s. How far from Earth is Neptune? Penny lui répond. 





Luke and Slim have only one horse. 
20060226 

Emily pose la question : Luke and Slim have only one horse. Luke rides for the agreed on distance and then ties up the horse for Slim, who has been walking. Meanwhile, Luke walks on ahead. They alternate walking and riding. If they walk 4 miles per hour, and ride 12 miles per hour, what part of the time is the horse resting? Penny Nom lui répond. 





Traveling from Asheville to Indianapolis 
20060221 

Grace pose la question : Carol was traveling from Asheville, North Carolina, to Indianapolis, Indiana, by bus. At the halfway point of her trip, in terms of distance, she fell asleep. When she awoke, her distance to Indianapolis was half the distance that she had traveled while she slept. For what fraction of her trip did Carol sleep? Penny Nom and Stephen La Rocque lui répond. 





A locus problem 
20060208 

Jason pose la question : If the distance from p(1,5) is 3/4 that of the distance of a(4,3)? find the equation of a locus. Penny Nom lui répond. 





What initial velocity is required to double the maximum height 
20060114 

A photographer pose la question : A body is thrown into the air with an initial velocity V ft./sec. What initial velocity is required to double the maximum height previously obtained? Penny Nom lui répond. 





60.5 ft at 90 mi/hr takes how long? 
20060113 

Bree pose la question : A ball travels over 60.5 ft at 90 mi/hr. How fast does the ball travel? Penny Nom lui répond. 





A long distance call 
20051205 

A student pose la question : The Small World long distance phone company charges 55cents for the first minute of a long distance call and 23cents for each additional minute.
1. How much would a 10 minute longdistance call cost?
2. If a call costs $4.55. how long did the call last?
3. Write an equation for the total cost, C, of an mminute longdistance call. Penny Nom lui répond. 





City A is 30 miles directly north of City C 
20051004 

A student pose la question : City A is 30 miles directly north of City C, and City B is 40 miles directly east of City C. Cities A and B are connected by a straight road. Find the length of the shortest path from City C to the road that connects A and B. Penny Nom lui répond. 





The shortest distance from a point to a line 
20050330 

carly pose la question : Find the shortest distance from the point (15, 2.5) to the line 5x+6y=30. Penny Nom lui répond. 





A rate of change problem 
20041015 

Frank pose la question : Find the rate of change of the distance between the origin and a moving point on the graph of y = x(squared) + 1 if dx/dt = 2 centimeters per second. Penny Nom lui répond. 





The distance formula 
20040904 

Joe pose la question : Why do we use square roots and squares in the distance formula Wholdnt they cancel each other out? Claude Tardif lui répond. 





How far apart are they? 
20040523 

A student pose la question : 2 cars start at same loc. drive opposite direction for 6 miles then they each turn left and travel for 8 miles how far apart are they? Penny Nom lui répond. 





Distance, time and rate 
20040309 

Peter pose la question : A car travels from one city to another at the speed of 32mph, if it had gone 4mph faster it could have made the trip in one half hour less. How far apart are the cities?
Penny Nom lui répond. 





Driving from Sarnia 
20040211 

Jane pose la question : "Crystal drove from Sarnia at 80km/hr. Emily left Sarnia one hour later and drove along the same road at 100km/hr. How far from Sarnia did Emily overtake Crystal?" Claude Tardif lui répond. 





The London marathon 
20040127 

Nina pose la question : After a years training, Minnie Midriffe increased her average speed in the london marathon by 25%. By what percentage did her time decrease?o Penny Nom lui répond. 





Business trip 
20031219 

Ameer pose la question : A businnessman drives from Washington, D.C., to Boston, a distance
of 442 miles, and then makes the return trip. On the way to Boston,
he drives 65 miles per hour, taking an 1hour rest stop during the
drive. After finishing his business in Boston, he make the return
trip driving at 60 miles per hour and takes a 45minute rest stop
halfway through the trip. Which leg of the journey, Washington, D.C.
to Boston, or Boston to Washington, D.C., takes the longer time? Penny Nom lui répond. 





A point and a line 
20031119 

Meenakshi pose la question :
Given a line segment L(x_{1},y_{1})
to (x_{2},y_{2}) and a Point P(x_{3},y_{3}).
I need the formula to find a point on the line L that is closest to
the point (x_{3},y_{3}). Penny Nom lui répond. 





A boat travels 12 km upstream... 
20030903 

Sohaib pose la question : A boat travels 12 km upstream and back in 1 hour 45 minutes. If the speed of the current is 3km/hr throughout, find the speed of the boat in still water, giving your answerÝcorrect to 3 decimal places. Penny Nom lui répond. 





Two cars 
20030709 

Nicole pose la question : Two cars start off at the same point on a striaght highway facing opposite directions. Each car drives 6 miles, talkes a left turn, and drives for 8 miles. How far apart are the two cars. Penny Nom lui répond. 





Is 3/5 CLOSEST to 0, 1/2 or 1? 
20030709 

A student pose la question : I would like to know is 3/5 CLOSEST to 0, 1/2 or 1. And can 3/10 go either way as to be closest to 0 or 1/2. Penny Nom lui répond. 





Two airplanes leave Dallas 
20030206 

A student pose la question : TWO AIRPLANES LEAVE DALLAS AT THE SAME TIME AND FLY IN OPPOSITE DIRECTIONS. ONE AIRPLANE TRAVELS 80 MILES PER HOUR FASTER THAN THE OTHER. AFTER THREE HOURS, THEY ARE 2940 MILES APART. WHAT IS THE RATE OF EACH AIRPLANE? Penny Nom lui répond. 





A train with 2 cars 
20030204 

Michael pose la question : A train with 2 cars is traveling at a speed of 80 km/hr from town X to town y, located 800 km from each other. At the same moment that the train departed, a passenger started to walk back and forth from one end of car B to the other at a speed of 100cm/sec. Arriving in town Y, the passenger had already gone and returned 720 times. The length of car A is that of car B plus one fourth of the length of the locomotive, and the length of the locomotive equals the length of Car A plus one fifth of the length of car B. What is the total length of the train? Penny Nom lui répond. 





Miles per hour 
20021128 

Liz pose la question : If a car has traveled 16 miles in 30 minutes, how many miles per hour did they go? Penny Nom lui répond. 





How long will it be before you reach your friend? 
20020916 

Margaret pose la question : Your friend runs at 8 miles per hour and you drive at 40 miles per hour, hence the diatance between you is decreasing at 32 miles per hour. You firend left 2 hours before you so how far has he gone in that 2 hours? How long will it take for the distance between you to decrease to 0 miles if the distance is decreasing at 32 miles per hour? Penny Nom lui répond. 





Distance in 3space 
20020816 

David pose la question : The question is: how do I figure out the distance of one object in 3D space to another object in 3D space? I have an object at say x = 5.872, y = 2.876, and z = 7.290; and the other object is at x = 1.129, y = 8.213, and z = 11.127. I have been suggested to use the pythagorean theory on this, but since there are three variables, I don't understand how. Penny Nom lui répond. 





Bob swam across a river 
20020522 

Torri pose la question : Bob swam across a river 420 ft wide. A strong current carried him 580ft downstream as he swam. Find x, the distance bob actually swam. Penny Nom lui répond. 





Trains and cracker boxes 
20020429 

Lindsay pose la question : 1)Two trains are 250 miles apart on the same track heading towards eaxh other at 7AM The first train travels at 55mph, the second at 75mph. At what time would they crash? 2)A cracker box measures 12 by 2 by 18 inches. The company wants to double the amount of crackers, but keep the shapes the same[similar] Find the new length[nearest tenth of an inch] Penny Nom lui répond. 





A test drive 
20020423 

Jennie pose la question : At 9 A.M. a test car driving at a constant speed passes a marker 50 miles from it's starting point. At noon the car is about 130 miles from the marker. If the test drive ends at 1:30 P.M., how far will the car be from its starting point? Penny Nom lui répond. 





15 miles at 13 miles per hour 
20020312 

Rich pose la question : If I were traveling 15 miles at 13 miles per hour how long will it take? Penny Nom lui répond. 





The distance across a circle 
20020118 

Douglas pose la question : If you know how far around a circle is (say earth) 25000 miles how do you calculate the distance across? Penny Nom lui répond. 





The famous "train problem" 
20020112 

Karen pose la question : How do you solve the famous "train problem"? For example, 2 trains leave different stations at the same time. One is traveling at 50 mph and the other at 40 mph. How long does it take them to meet? Penny Nom lui répond. 





Julia goes to work 
20010925 

Karyna pose la question : On one October morning, Julia rides her bike (at 12 miles per hour) from her home to her friend Ida's house; then the two of them walk (at 6 miles per hour) to work. If it takes an hour for Julia to go the 10 miles from her home to work, how far does she walk? Penny Nom lui répond. 





Ray and Jane 
20010906 

A student pose la question : If Ray and Jane live 150 miles apart and they both leave their house at the same time, Ray goes 30 mph the whole time and Jane goes 50 mph the whole time how many miles are they from Ray's house when they meet? And what is the exact travel time untl they meet. Penny Nom lui répond. 





Joe and his dad 
20010828 

Sarah pose la question : Joe Spout left a campsite on a trip down the river in a canoe, traveling at 6 km/h. Four hours later, Joe's father set out after him in a motorboat. The motorboat traveled 30 km/h. How long after Joe`s father started did he overtake the canoe? How far had Joe traveled down the river when his father overtook him? Leeanne Boehm lui répond. 





The shortest distance from a point to a line 
20010605 

Kat pose la question : Find the shortest distance from the given line. Round to the nearest tenth. (2,1) and x+5y+20=0 Penny Nom lui répond. 





A problem with distance 
20010116 

A student pose la question : For what values of a is the distance between P(a, 3) and Q(5, 2a) greater than the square root of 26. Penny Nom lui répond. 





Connecting to a water line 
20001020 

Vanja pose la question : My question is...A house is to be connected to a new water main that runs along the line y=2/3x1. The connection point at the house has coordinates (2,9), where the units represent metres. What lenght of plastic pipe is needed to connect to the water main at the closest point? Penny Nom lui répond. 





Two geometry problems 
20000909 

Becky pose la question : What are all the real values of x that are solutions for the inequality [x2] < 6? ( it's less than or equal to) What is the distance between the points with (x,y) coordinates (3,2) and (3,1)? Peny Nom lui répond. 





Euclidean distance 
20000906 

Velma ZahirovicHerbert pose la question : If d(x,y) is euclidean distance between x and y Prove that d(x,y)>=0 if d(x,y)=0 than x=y and d(x,y)=d(y,x) Paul Betts lui répond. 





A centroid problem 
20000602 

Kerstin pose la question : An isoceles triangle has sides measuring 13 cm, 13 cm, and 10 cm. Find the distance from the centroid to the vertex of a base angle. Harley Weston lui répond. 





Taxicab geometry 
20000116 

Jack pose la question : Im doing an investigation entitled 'taxicab geometry', ive attempted it and have done most of the practical part of it. But i cant seem to see the equation behind it all. please guide me in the right direction. They provide a regular grid with regular horizontal and vertical lines. The lines are roads and the actual squares are blocks of hoouses/ buildings. In taxicab geometry the distance between place A & B is worked out by adding together the horizontal and vertical distances. each square is counted as i unit. Part 1 (I've done this) A taxix cab firm is based at A. the posistion B is 7 units away from A. investigate all the posistions of B at 7 units. investigate for different distances. . . . Penny Nom lui répond. 





Distance between the windows 
19990919 

Lawrence pose la question : An observer on level ground is at distance d from a building. The angles of elevation to the bottom of the windows on the second and third floors are a and b respectively. Find the distance h between the bottoms of the windows in terms of a b and d Harley Weston lui répond. 





A bike race 
19990423 

Bill Gepford pose la question : Bill was in a bike race and his friend kyle calculated that if he went 15mph that he would cross the noontime checkpoint one hour early but if he rode 10mph he would arrive one hour late. How far away is the checkpoint? Penny Nom lui répond. 





An airplane problem 
19990308 

B.M.R. pose la question : A plane left New York and headed East to its destination 3600 miles away across the Atlantic. On the way back its speed was boosted by a 50 mph tail wind and it arrived an hour early. What was its normal speed? Jack LeSage lui répond. 





Absolute value of i 
19990106 

Wayne Bagley pose la question : I would like to know what is the absolute value of i. I need an answer suitable for the secondary level. Harley Weston lui répond. 





Two Chords 
19980929 

Jennifer Cane pose la question : Question: two parallel chords of a circle, AB and CD, have lengths of 10 cm and 17 cm respectively. The diameter of the circle is 21 cm. Find the shortest distance between the chords. Harley Weston lui répond. 





Nickles on the Highway 
19980922 

Ronnie Mac Donald pose la question : How many nickels would it take to cover 226km of highway,each nickel is 2cm in diameter? Penny Nom lui répond. 

