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

Question 146919: How far away can a boy ride his bicycle 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 ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r
Let d=distance that the boy rides away
Time to ride away =d/10
Time to ride back =d/9
Now we are told that time to ride away plus time to ride back equals 9.5 hrs. So our equation to solve is:

d/10 + d/9 = 9.5 multiply each term by 90
9d+10d=855 collect like terms
19d=855 divide each side by 19
d=45 km-------------distance that the boy rides away

CK
45/10+45/9=9.5
4.5+5=9.5
9.5=9.5

Hope this helps ---------------ptaylor

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