SOLUTION: A rower travels upstream at 6 km per hour and back to the starting place at 10 km per hour. the total journey takes 48 minutes. How far upstream did the rower go?

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Question 828035: A rower travels upstream at 6 km per hour and back to the starting place at 10 km per hour. the total journey takes 48 minutes. How far upstream did the rower go?
Found 2 solutions by richwmiller, Alan3354:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
4/5=48/60
a+b=4/5,
6a=8b
a = 16/35, b = 12/35
96/35 km =distance
2 26/35 k=distance
2.7428571 k=distance

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A rower travels upstream at 6 km per hour and back to the starting place at 10 km per hour. the total journey takes 48 minutes. How far upstream did the rower go?
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Avg speed for the round trip is
2*6*10/(6+10) = 7.5 km/hr
d = r*t
d = 7.5*48/60) = 6 km round trip
--> 3 km each way
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I can show the derivation of the RT avg speed if necessary.