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  4. 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 the river is 1 m/s. How far from the point directly opposite to the starting point does the swimmer reach the opposite bank?

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Q. 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 the river is $1\,m/s$. How far from the point directly opposite to the starting point does the swimmer reach the opposite bank?

TS EAMCET 2017

Solution:

Given,
Width of river $(w)=200 \,m$
Velocity of river $=2 m / s$
Velocity of $\operatorname{man}=1 m / s$
We know that,
$\frac{w}{V_{\operatorname{man}}} =\frac{d}{v_{\text {strem }}}$
$ d =\frac{W \times V_{\text {strem }}}{V} $
$ d =\frac{200 \times 2}{1}$
$d =400 m $