SOLUTION: A man rowing at the rate of 5 km/hr in still water takes thrice as much time in going 40 km upstream as he takes in going same distance downstream. find the rate at which water is
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Question 184082: A man rowing at the rate of 5 km/hr in still water takes thrice as much time in going 40 km upstream as he takes in going same distance downstream. find the rate at which water is flowing. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A man rowing at the rate of 5 km/hr in still water takes thrice as much time in going 40 km upstream as he takes in going same distance downstream. find the rate at which water is flowing.
:
Let x = the rate water is flowing
then
(5+x) = boat speed downstream
and
(5-x) = boat speed upstream
;
Let d = distance one way
;
write a time equation; Time = :
upstream time = 3 times downstream time = 3() =
Cross multiply
d(5+x) = 3d(5-x)
:
divide both sides d and eliminate it:
5 + x = 3(5 - x)
;
5 + x = 15 - 3x
:
x + 3x = 15 - 5
:
4x = 10
x =
x = 2.5 km/hr is the rate of the current
:
:
Check solution by finding the distances, should be equal:
5 + 2.5 = 7.5
3(5 - 2.5) = 7.5
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