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A motrobaot covers the distance between ...

A motrobaot covers the distance between the two sport on the river is 8 h and 12 h downstream and upstream respecitvley . Find the time required by the boat to cover the distance in still water.

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The correct Answer is:
10
Let u and v be the velocity of boat in still water and velocity of river respectively .if x is the distance between the two spots , then
`u+v = x/8` (for upstream )
`u - v = x/12` (for downstream )
On adding ,
`2u = 20/96 x or u = 10.96 x `
Time required by boat in still water
` = x/u = x/(10x//96) = 9.6 h `
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