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Standard XII

Physics

Crossing the River(Minimum Time)

A swimmer wan...

Question

A swimmer wants to cross a $200 m$ wide river which is flowing at a speed of $2 m / s$ . The velocity of the swimmer with respect to river is $1 m / s$ . How far from the point directly opposite to the starting point does the swimmer reach the opposite bank?

200 m

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400 m

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600 m

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800 m

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Solution

The correct option is D $400 m$
$\frac{W}{V_{m a n}} = \frac{d r i f t}{V_{s t r e a m}}$
$\frac{200}{1} = \frac{d r i f t}{2}$
drift $= 400 m$

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A swimmer wants to cross a 200m wide river which is flowing at a speed of 2m/s. The velocity of the swimmer with respect to river is 1m/s. How far from the point directly opposite to the starting point does the swimmer reach the opposite bank?

The correct option is D 400mWVman=driftVstream2001=drift2drift =400m

A swimmer wants to cross a $200 m$ wide river which is flowing at a speed of $2 m / s$ . The velocity of the swimmer with respect to river is $1 m / s$ . How far from the point directly opposite to the starting point does the swimmer reach the opposite bank?

The correct option is D $400 m$
$\frac{W}{V_{m a n}} = \frac{d r i f t}{V_{s t r e a m}}$
$\frac{200}{1} = \frac{d r i f t}{2}$
drift $= 400 m$