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.

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) (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
=
:
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
RELATED QUESTIONS
Kellen's boat travels 12 mph. Find the rate of the river current if she can travel (answered by addingup)

Kellen�s boat goes 12 mph. Find the rate of the current of the river if she can go 6 mi... (answered by scott8148)

Connie McNair's boat goes 12 mph. Find the rate of the current of the river if she can go (answered by solver91311)

Kellen's boat travels 20 mph. Find the rate of the river current if she can travel (answered by jorel1380)

Emily's boat goes 14 mph. Find the speed of the current in the river if she can go 8... (answered by ptaylor)

Clara's boat goes 14 miles per hour. Find the speed of the current in the river if she... (answered by macston)

A river has a current of 4 km per hour. Find the rate of a boat in still water, if the... (answered by mananth)

Rusty has a boat goes 12 mi. an hour. Find the current speed of the river if he can go 3 (answered by richwmiller)

Rani times herself as she kayaks 30 miles down the Derwent river with the help of the... (answered by Theo)