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?

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 the river is 1 m/s. How far from the point directly opposite to the starting point does the swimmer reach the opposite bank? (A) 200 m (B) 400 m (C) 600 m (D) 800 m

Tardigrade Admin · Accepted Answer

Given, Width of river (w)=200 m Velocity of river =2 m / s Velocity of operatornameman=1 m / s We know that, (w/V operatornameman) =(d/v text strem ) d =(W × V text strem /V) d =(200 × 2/1) d =400 m

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?

200 m

400 m

600 m

800 m

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

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