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  • A man swimming in a river finds that it takes him thrice the time to swim 2km upstream as it takes him to swim back.If the river flows at the rate of 1.5km/hr find the swimming speed of manin still water

A man swimming in a river finds that it takes him thrice the time to swim 2km upstream as it takes him to swim back.If the river flows at the rate of 1.5km/hr find the swimming speed of manin still water

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eginarrayl extlet the speed in still water be x kmph .\ extupstream the speed will be x-1.5\ extdistance =2km\ exttime taken upstream =frac2x-1.5\ extdownstream speed=x+1.5\ \ extdistance =2km\ exttime taken=frac2x+1.5\ \ exthe takes thrice the time upstream. \ frac2x-1.5=3 imesleft(frac2x+1.5 ight)\ \ left(x+1.5 ight)left(x-1.5 ight)=3\ \ x^2-2.25=3\ \ x^2=0.75\ \ x=0.87 kmph endarray

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Deependra Verma

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