Question

Two swimmers start swimming perpendicular to river flow with different constant speeds at the same time. After reaching the opposite bank, they have to walk back to reach the point exactly opposite to the starting point at the same time. Assume constant walking speed for both the swimmers.

• A. Swimmer with greater speed in water will have to walk slowly.
• B. Swimmer with smaller speed in water will have to walk back slowly.
• C. Both the swimmers will have to walk back with same speed.
• D. It is not possible for both swimmers to reach the starting point simultaneously.

Answer 1

The correct option is A Swimmer with greater speed in water will have to walk slowly.

Distance covered $x=v_{r}t=v_r\times \frac{d}{v_{mr}}$, where $v_r=$ speed of the river, $v_{mr}=$ speed of the man with respect to river.
$\frac{x}{v_w}=T=\frac{v_{r}d}{v_w{v}_{mr}}=$ same
$\Rightarrow v_w\times v_{mr}=$ constant