Question 1145330: A man rowed up a river of 1 kilometer in 6hours and back in 4 hours. Find the rate of the current and his rate of rowing in still water. Answer by ikleyn(52781) (Show Source):
Let u be the rate of rowing, in km/h, and
let v be the rate of the current.
Then from the condition you have
u + v = (1) (the speed moving downstream)
u - c = (2) (the speed mowing upstream)
Add the equations to get
2u = + = + = ,
u = kilometer per hour.
Then from (1) v = - = - = .
ANSWER. Rate of rowing in still water is km/h.
Rate of the current is km/h.
Solved.
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It is a typical and standard Upstream and Downstream round trip word problem.