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

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 Question 465935: How far away can a boy ride his bicycle if he rides away at 10 kilometeres per hour and returns at 9 kilometers per hour? the entire trip takes 9.5 hours Found 2 solutions by jorel1380, robertb:Answer by jorel1380(2518)   (Show Source): You can put this solution on YOUR website!x/10+x/9=9.5 9x+10x=855 19x=855 x=45 The boy rode 45 kilometers each way. Answer by robertb(4012)   (Show Source): You can put this solution on YOUR website!Get the average speed of the boy in the entire trip by taking the harmonic mean of the rates: kph. Multiplying this average rate by 9.5 hr, we get 90 kilometers. This is the distance traveled in the ROUND TRIP, so to get the one-way distance, divide by 2. Hence the boy can ride his bike up to 45 km.