The speed of a stream is 3 km/h and the speed ofa man in still water is 6 km/h. The time taken by the man to swim 37 km downstream is:

Correct option is B

Given:
Speed of the stream = 3 km/h

Speed of the man in still water = 6 km/h

Distance to swim downstream = 37km

Formula Used:

The effective speed of the man downstream is given by the sum of his speed in still water and the speed of the stream.

The time taken to cover a distance at a certain speed is:

​$$\text{Time} = \frac{\text{Distance}}{\text{Speed}}$$​​

Solution:

The effective speed of the man downstream is:

Effective Speed = 6 + 3 = 9 km/h

Substitute the values into the formula to calculate the time taken:

Time = $$\frac{37}{9}$$  = $$4\frac{1}{9} \ hours$$​​