SOLUTION: How would this problem be solved : The current of a river is 4 miles per hour. Calvin can row his boat 18 miles downstream in the same time it takes him to row 2 miles upstream Wha

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Question 760653: How would this problem be solved : The current of a river is 4 miles per hour. Calvin can row his boat 18 miles downstream in the same time it takes him to row 2 miles upstream What is Calvin's speed in still water?
Thanks
Aileen

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the rate in still water. Downstream, going with the current, his speed is the still water rate PLUS the current. Upstream, his rate is the still water speed MINUS the current. The time for both trips is the same and distance equals rate times time, so we write two equations:





Solve each for





Now you have two things both equal to the same thing, so set them equal to each other:



Solve for

John

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