SOLUTION: A man rowed 10 km up ariver in 5 hours and back in 21/2 hours. Find the rate of the current and his rate of rowing in still water.
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Question 161731: A man rowed 10 km up ariver in 5 hours and back in 21/2 hours. Find the rate of the current and his rate of rowing in still water.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the rate of the current =
Let his rate rowing in still water =
Going upriver is against the current
Going back is with the current
This is 2 equations and 2 unknowns, so I should
be able to solve
Multiply both sides of the 1st by
Multiply both sides of the 2nd by
(1)
(2)
----------------------
(1)
(2)
Multiply (2) by and add equations
(1)
(2)
km/hr
And, since
km/hr
His rate in still water is 3 km/hr and the rate of the
current is 1 km/hr
check:
OK
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