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

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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(52794) About Me  (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 200%2Fu hours.

Time Yoshi spent for the trip was 200%2F%28u-20%29 hours.

An equation is 

200%2F%28u-20%29 - 200%2Fu = 11%2F7,    or

200%2F%28u-20%29 - 200%2Fu = 8%2F7.

Simplify and solve it for u.

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