Question

a man can swim with a speed of 5m/s in calm water. if this man swims crosses a specific river his speed is 3m/s. if he takes the minimum time to cross the river find the speed of the flow of water in the river...
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Answer 1

Answer:

The speed of the flow of water in the river is 4 m/s.

Explanation:

Given that,

Speed of man = 5 m/s

If this man swims crosses a specific river his speed is 3 m/s.

If he takes the minimum time to cross the river

Let the speed of flow of water be $v_{r}$

We need to calculate the speed of the flow of water in the river

Using formula for velocity

$v_{rs}^2=v_{r}^2+v_{s}^2$

$v_{r}^2=v_{rs}^2-v_{s}^2$

Where, $v_{s}$ = velocity of swimmer

$v_{sr}$ = relative velocity

$v_{r}$ = velocity of river

Put the value into the formula

$v_{r}^2=5^2-3^2}$

$v_{r}=\sqrt{5^2-3^2}$

$v_{r}=4\ m/s$

Hence, The speed of the flow of water in the river is 4 m/s.