My Math Forum Speed Word Problem.

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 December 1st, 2013, 06:37 PM #1 Newbie   Joined: Dec 2013 Posts: 2 Thanks: 0 Speed Word Problem. John goes from A to B by car. Then he goes by motorcycle back from B to A. The time it took him to go from A to B and from B to A is 7 hours. Knowing that the motorcycle speed is 75% the speed of the car. Calculate the time it took him to go from A to B by car.
 December 1st, 2013, 07:08 PM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,318 Thanks: 936 Re: Speed Word Problem. c=car speed, m=motorcycle speed, h = hours by car [A](@c)................ch....................>h[B] [A]7-h<..............m(7-h)..............(@m)[B] ch = m(7-h) Substitute m = 3c/4
 December 28th, 2013, 04:32 PM #3 Global Moderator   Joined: Dec 2006 Posts: 19,722 Thanks: 1807 The car's time is 3/4 of the motorcycle's time (as they went the same distance). The times total 7 hours, so the car took 3 hours and the motorcycle took 4 hours.

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