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A boat on a river travels the same distance in 1/2 hour downstream as it can go upstream for an hour. If the boat travels 12 mph in still water, what is the speed of the current?

Aurora012

by Aurora012 at February 13, 2011

A boat on a river travels the same distance in 1/2 hour downstream as it can go upstream for an hour. If the boat travels 12 mph in still water, what is the speed of the current?

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Let the distance=x miles which is same for downstream and up streamit takes 1/2 hr in down stream .so the speed in down stream is =distance/time=2x  mi/hrThe speed of the boat in still water is=12 mi/hr (given)Let y be the speed of the currentIn down stream  12+y=2xIn upstream the speed is x/1=x mi/hrSo the equation is 12-y=xSolving the equations you get x=8miY=4 mi/hr

chitra003 chitra003 February 13, 2011

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