SOLUTION: A boy walks a distance at 9 km/h. He finds that if he increases his speed by 1/3, he would have saved 4/3 hours. Find the distance he walks.

Question 821706: A boy walks a distance at 9 km/h. He finds that if he increases his speed by 1/3, he would have saved 4/3 hours. Find the distance he walks.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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s = d / t
d = s * t
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D = 9t
D = (9*4/3)(t - 4/3)
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9t = (9*4/3)(t - 4/3)
t = (4/3)t - 16/9
(4/3)t - (3/3)t = 16/9
(1/3)t = 16/9
t = 3*16/9
t = 16/3 hours
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D = 9t
D = 9*16/3
D = 3*16
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answer:
D = 48 km
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