SOLUTION: A boat can travel 48 miles upstream (against the current) in the same amount of time that it takes to travel 72 miles downstream (with the current). If the rate of the current is

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Question 270200: A boat can travel 48 miles upstream (against the current) in the same amount of time that it takes to travel 72 miles downstream (with the current). If the rate of the current is 4 miles per hour, what is the speed of the boat in still water?
Answer by palanisamy(496)   (Show Source): You can put this solution on YOUR website!
Let the speed of the boat in still water=x
The speed of the current = 4 m/h
Given, the boat can travel 48 miles upstream (against the current) in the same amount of time that it takes to travel 72 miles downstream (with the current).
So, 48/(x-4) = 72/(x+4)
48(x+4) = 72(x-4)
2(x+4)=3(x-4)
2x+8=3x-12
2x-3x=-12-8
-x=-20
x=20

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