A steady river is $300 m$ wide. A man swims across the river with a velocity of $2 m s^{- 1}$ directed always perpendicular to the flow of currrent. How long does it take the man to cross the river?

Open in App

Solution

The man is always directed perpendicular to the flow of current
and swims across the river with a velocity of $2$ $m s^{- 1}$ .
Width of the river is $300$ m.
Therefore , time taken to cross the river = $\frac{w}{v}$

= $\frac{300}{2}$

= $150$ seconds.

Suggest Corrections

Similar questions

Q. A man can swim at the rate of

5 k m h^{- 1}

in still water. A 1-km wide river flows at the rate of

3 k m h^{- 1}

. The man wishes to swim across the river directly opposite to the starting point
a. Along what direction must the man swim?
b. What should be his resultant velocity?
c. How much time will he take to cross the river?

Q. Assertion :To cross the river in minimum time, man should swim in perpendicular to the direction of flow of river. Reason: In this case along the perpendicular direction to river flow, the component of velocity of man becomes maximum.

Q. A man can swim with a speed of

4.0 k m / h r

in still water. How long does he take to cross a river

1.0 k m

wide, if the river flows steadily at

3.0 k m / h r

and he makes his strokes normal to the river current? How far down the river does he go, when he reaches the other bank?

A man can swim with a speed of 4.0 km/h in still water. How long does he take to cross a river 1.0 km wide if the river flows steadily at 3.0 km/h and he makes his strokes normal to the river current? How far down the river does he go when he reaches the other bank?

Q. A river of width

200

m flows at

5 m / s^{- 1}

. A man crosses the river in the shear flow and swims with the same velocity, the time taken to cross the river is :

Join BYJU'S Learning Program

A steady river is 300m wide. A man swims across the river with a velocity of 2ms−1 directed always perpendicular to the flow of currrent. How long does it take the man to cross the river?

The man is always directed perpendicular to the flow of currentand swims across the river with a velocity of 2 ms−1 .Width of the river is 300 m.Therefore , time taken to cross the river = wv = 3002 = 150 seconds.

A steady river is $300 m$ wide. A man swims across the river with a velocity of $2 m s^{- 1}$ directed always perpendicular to the flow of currrent. How long does it take the man to cross the river?

The man is always directed perpendicular to the flow of current
and swims across the river with a velocity of $2$ $m s^{- 1}$ .
Width of the river is $300$ m.
Therefore , time taken to cross the river = $\frac{w}{v}$

= $\frac{300}{2}$

= $150$ seconds.