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Question

A river 3m deep and 40
m wide flowing at the rate of 2km per hour. How much water will flow into the sea in a minute?

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Solution

In order to answer this question, let us first analyse the given data
It says that the depth = 3 metres
width = 40 metres
and the rate of flow = 2 km per hour
( converting this into metre per second, we get rate of flow = 2*(1000/3600)=2*(5/18)= 0.55 metre per second)
now we know that volume = length *width*height
similarly, volumetric rate of flow = length*width*rate of flow
which leaves us at v=3*40*0.55= 66.67 metre cube per second.
so the amount of flow per minute would be given by
66.67*60 = 4000 metre cube per minute

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