1)

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

Answer:

Option B

Explanation:

 Given,

 width of river (w)=200 m

 Velocity of river =2 m/s

 Velocity of man =1 m/s

 we know that,

 $\frac{w}{v_{man}}=\frac{d}{v_{stream}}$

 $d= \frac{w \times v_{stream}}{v}$

 $d= \frac{200 \times 2}{1}$

 $d=400 m$