# A motorboat, whose speed is 24 km/h in still water, takes 1 hour more to go 32 km upstream than to return downstream to the same spot. Find the speed of the stream

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by sjrunissang

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by sjrunissang

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Therefore the speed of of boat upstream is 24-x km/hr

and speed of the boat downstream is 24-x km/hr.

time= distance/speed

32/(24-x) - 32/ (24+x) = 1

Solve this and you'll get the speed.

Speed in Still Water = 24km/hr

Let the speed of stream be 'x' kmph

then, Speed moving upstream = 24-x

Speed moving downstream = 24+x

We know that is time

On reducing it to a quadratic equation,

we get -

On solving it by splitting the middle term method (8&72 as factors) we get,

x = 8 or -72

Since, the speed cannot be negative, x = 8

Therefore, the speed of the stream is 8 km/hr