<PRE><B>Question 177422</B>
It took Emily 25 min to ride her bike to the repair shop and 1h 15 min to walk back home. If she can ride her bike 8km/h faster than she can walk, how far is the repair shop from her house.
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Riding DATA:
time = 25/60 = 5/12 hr ; rate = (r+8)km/h ; distance = rt = (5/12)(r+8) km
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Walking DATA:
time = 5/4 hr ; rate = r km/h ; distance = rt = (5/4)r km
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Equation:
ride distance = walk distance
(5/12)(r+8) = (5/4)r
(1/12)(r+8) = (1/4)r
r+8 = 3
2r = 8
r = 4 km/h
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walking distance = (5/4)r = (5/4)4 = 5 km
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Cheers,
Stan H.
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