SOLUTION: City A and City B are 200 km apart. Harry rides his bike 20 km faster than Yoshi rides his bike. Find Harry's average speed if he travels from city A to city B in 1 1/7 hour less

Question 1009856: City A and City B are 200 km apart. Harry rides his bike 20 km faster than Yoshi rides his bike. Find Harry's average speed if he travels from city A to city B in 1 1/7 hour less time than Yoshi.
Answer by ikleyn(52795) (Show Source): You can put this solution on YOUR website!
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City A and City B are 200 km apart. Harry rides his bike 20 km faster than Yoshi rides his bike.
Find Harry's average speed if he travels from city A to city B in 1 1/7 hour less time than Yoshi.
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Let u be the Harry' speed, in mph.

Then the Yoshi' speed was u-20.

Time Harry spent for the trip was  hours.

Time Yoshi spent for the trip was  hours.

An equation is 

 -  = ,    or

 -  = .

Simplify and solve it for u.

As the first step, multiply both sides by 7u*(u-20).

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