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A motorboat takes 5 hours to travel 150km going upstream. the return trip takes 3 hours...

A motorboat takes 5 hours to travel 150km going upstream. the return trip takes 3 hours going downstream. What is the rate of the boat in still water? and what is the rate of the current?

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Answer #1

let speed of boat = x

speed of current = y

upstream : 5(x - y) = 150

downstream : 3 ( x+y ) = 150

5x - 5y = 150

3x + 3y = 150

so, rate of boat = 40 kmph

rate of current = 10 kmph

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