# SOLUTION: How far away can a boy ride his bike if he rides away at 10 kilometers per hour and returns at 9 kilometers per hour? The entire trip takes 9.5 hours.

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 Question 594771: How far away can a boy ride his bike if he rides away at 10 kilometers per hour and returns at 9 kilometers per hour? The entire trip takes 9.5 hours. Answer by ankor@dixie-net.com(15660)   (Show Source): You can put this solution on YOUR website!How far away can a boy ride his bike if he rides away at 10 kilometers per hour and returns at 9 kilometers per hour? The entire trip takes 9.5 hours. : Let d = one-way distance the boy went. : Write a time equation: time = dist/speed ; go time + return time = 9.5 hrs + = 9.5 multiply by 90 to clear the denominators 90* + 90* = 90(9.5) Cancel the denominators 9d + 10d = 855 19d = 855 d = d = 45 km : : Check this by finding the actual time for each way: 45/10 = 4.5 hrs 45/9 = 5 hrs --------------- total: 9.5 hrs