SOLUTION: the speed of a stream is 2 mph. A boat travels 6 miles upstream in the same time it takes to travel 10 miles downstream. What is the speed of the boat in still water?

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Question 796665: the speed of a stream is 2 mph. A boat travels 6 miles upstream in the same time it takes to travel 10 miles downstream. What is the speed of the boat in still water?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
the speed of a stream is 2 mph. A boat travels 6 miles upstream in the same time it takes to travel 10 miles downstream. What is the speed of the boat in still water?
***
let x=speed of boat in still water
x+2=speed of boat downstream
x-2=speed of boat upstream
travel time=distance/speed (same for both directions)
..
6%2F%28x-2%29=10%2F%28x%2B2%29
6(x+2)=10(x-2)
6x+12=10x-20
4x=32
x=8
speed of boat in still water=8 mph