SOLUTION: a boat can travel 18 miles up a river in the same amount of time it takes to travel 42 miles down the same river. if the current is 2 miles per hour, what is the speed in still wa

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Question 452071: a boat can travel 18 miles up a river in the same amount of time it takes to travel 42 miles down the same river. if the current is 2 miles per hour, what is the speed in still water?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A boat can travel 18 miles up a river in the same amount of time it takes to travel 42 miles down the same river.
If the current is 2 miles per hour, what is the speed in still water?
:
Let s = boat speed in still water
then
(s+2) = effective speed downstream
and
(s-2) = effective speed upstream
:
Write time equation, time = dist/speed
:
42%2F%28%28s%2B2%29%29 = 18%2F%28%28s-2%29%29
cross multiply and solve for s