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A man can swim at the rate of 5 km//h in...

A man can swim at the rate of `5 km//h` in still water. A river `1 km ` wide flows at the rate of `3km h^(-1)`. A swimmer wishes to cross the river straight.

Text Solution

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Given, width of river = 1 km.
Velocity of swimmer, `v_(s)=5 km//h,` Velocity of water flowing in river, `v_(r)=3km h^(-1)` along OA.
or or = 53°48’ upstream.
Let v be the resultant velocity along OC, then `v=sqrt(v_(s)^(2)-v_(r)^(2))=sqrt(5^(2)-3^(2)) =4 km//h`
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