SOLUTION: A boat travels 9 miles downstream in the same time it takes to go 6 miles upstream. If the speed of the current is 4 mph, what is the speed of the boat?

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Question 688084: A boat travels 9 miles downstream in the same time it takes to go 6 miles upstream. If the speed of the current is 4 mph, what is the speed of the boat?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A boat travels 9 miles downstream in the same time it takes to go 6 miles upstream. If the speed of the current is 4 mph, what is the speed of the boat?
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let x=speed of boat in still water
x+4=speed of boat downstream
x-4=speed of boat upstream
travel time=distance/speed (same for upstream and downstream travel)
9/(x+4)=6/(x-4)
9x-36=6x+24
3x=60
x=20
speed of boat=20 mph