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December 1st, 2013, 07:37 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, 08:08 PM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 11,376 Thanks: 730  Re: Speed Word Problem.
c=car speed, m=motorcycle speed, h = hours by car [A](@c)................ch....................>h[B] [A]7h<..............m(7h)..............(@m)[B] ch = m(7h) Substitute m = 3c/4 
December 28th, 2013, 05:32 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 18,432 Thanks: 1462 
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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