







Running around a circular track 
20201031 

kaylee pose la question : Keiko and Kendra are training for an international track competition. Kendra is running one lap on the outside of a circular track with a diameter of 1000 feet. Her constant rate of speed is 12 mi/h. Keiko is running one lap on the outside of a nearby circular track with a diameter of 1125 feet. She is also running at 12 mi/h. Find the time, in minutes, each runner needs to complete one lap. Harley Weston lui répond. 





Running in opposite directions around a circular track 
20200511 

Alessandra pose la question : 2. Alan and Brian are two runners. Alan runs at 6.6 m/s and Brian runs at 8.4 m/s. They start from
the same place on a circular 400 m track and run in opposite directions round and round the
track.
(a) How far has Brian run when they pass each other for the first time?
(b) After they pass each other for the second time, how much further does Brian need to run
in order to complete two laps (800 m)? Penny Nom lui répond. 





Running around a circular track in opposite directions 
20190224 

carmi pose la question : how many times will lita and rose pass each other in 15 minutes if lita and rose start jogging on a 110 meters circular track. they begin at the same point but in opposite direction. lita at 8/3 meters per second and rose at 7/3 meters per second. Penny Nom lui répond. 





Amy and Joey on a circular track 
20180813 

Zoe pose la question : Amy and Joey are situated on a circular track 400 feet around.
Joey starts running at a rate of 10 feet per second.
Amy waits for a full minute, then starts running from the same point (in the same direction) at 12 feet per second.
How many seconds elapse before Amy passes Joey on the track? Penny Nom lui répond. 





A six team track schedule 
20140915 

Paul pose la question : I need to make a six (6) team track schedule. It needs to be five (5) triangular (3 team) meets with each team playing each team twice Victoria West 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. 





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. 





Jogging around a circular track 
20081119 

kim pose la question : Joan wants to jog 10 miles on a circular track 1/4 miles in diameter. How many times must she circle the track? Penny Nom lui répond. 





Mary and Jane on a halfmile track 
20081110 

alan pose la question : mary is walking 15mph on a half mile track. jane is walking 12mph on a halfmile track.
how much time will it take mary to pass jane.? HOW MANY TIMES WILL MARY PASS JANE IN 1 HOUR? Chris Fisher and Penny Nom lui répond. 





How many miles of track? 
20080827 

Stephanie pose la question : I have a 50 ac tract of Railroad I need to know approx how many miles of tr=
ack would be included in 50 ac 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. 





An athletic track 
20070730 

tammy pose la question : The inner boundary ABCDEF of an athletic track cinsists of two straight parts each 90m long and two semi circular ends as shown in the diagram.If the perimeter of the inner boundary is 400m, calculate the diameter AE of the inner semi circle.
Part 2. If the track is 3.5m wide an athlete starts the 400m run at X and remains in the outer lane . He finishes at Y(1) Calculate the outer diameter YZ
(2)The distance XY (take pie as 22/7) Penny Nom lui répond. 





Driving on a banked roadway 
20070205 

William pose la question : A race track is shaped like an inverted cone. Race cars drive around this track in a horizontal path. If a drivers speed is 34 m/s, at what distance from the tip of the cone should he drive his car if there is no friction?
THANKS IN ADVANCE FOR ANY ASSISTANCE YOU CAN PROVIDE!
Sincerely, William Bush 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. 





Three parabolas 
20040424 

A tutor pose la question :
I am a maths tutor. One of my year 12 students has given me this assignment. Many parts are ambiguous.
I am trying to determine the equation of the line segment AB. Given that A has an incline of 10 degrees below the horizontal, I am assuming that this parabola (although you can only see part of it) has been rotated 10 degree clockwise. Am I right in assuming this? If so, how do I derive the equation of the parabola as it will then not fit the general form y = ax squared +bx +c of a parabola.
Also, how is one expected to find the x coordinate of D without the equation of this parabola. To find the equation you need the xcoordinate and therefore be able to find another point on the parabola in order to derive the equation using simultaneous equations.
Penny Nom lui répond. 





An arc on a train track 
20040215 

A student pose la question : I'm trying to build a route in a train simulator program. I have a curve to the right (an arc, in other words) with a length of 25 meters and the radius is 1,500 meters. Let's say point P is the beginning of the curve (arc) and point Q is the end point of the arc. Then picture a tangent to point P. I need to find the length of a line perpendicular to that tangent that runs to point Q (the end of the curve/arc). Penny Nom lui répond. 





An elliptical race track 
20031216 

Judy pose la question : the inner rail of a race track is a perfect ellipse. the track is a standard width all the way around. how can i prove that the outer rail is a ellipse? Penny Nom lui répond. 

