SOLUTION: Kelley's boat goes 12mph. Find the rate of the cureent of the river if she can go 6mi upstream in the same amount of time she can go 10mi downstream.

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Question 110987: Kelley's boat goes 12mph. Find the rate of the cureent of the river if she can go 6mi upstream in the same amount of time she can go 10mi downstream.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Kelley's boat goes 12 mph. Find the rate of the current of the river, if she can go 6 mi upstream in the same amount of time she can go 10 mi downstream.
:
Let x = rate of the currents
Then:
(12+x) = speed downstream
and
(12-x) = speed upstream
:
Time = Dist/speed
:
Up time = down time
6%2F%2812-x%29 = 10%2F%2812%2Bx%29
:
Cross multiply:
6(12+x) = 10(12-x)
:
72 + 6x = 120 - 10x
:
6x + 10x = 120 - 72
16x = 48
x = 48/16
x = 3 mph speed of the current
:
:
Check solution by confirming the times are the same:
10/15 = 2/3 hr
6/9 = 2/3 hr