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The speed of a stream is 3 km/h and the speed of a man in still water is 5 km/h. The time taken by the man to swim 26 km downstream is:
Question

The speed of a stream is 3 km/h and the speed of a man in still water is 5 km/h. The time taken by the man to swim 26 km downstream is:

A.

4134\frac{1}{3} hours​

B.

4344\frac{3}{4}​ hours

C.

1341\frac{3}{4}​ hours

D.

3143\frac{1}{4}​ hours

Correct option is D

Given:

Speed of the man in still water = 5 km/h

Speed of the stream = 3 km/h

Distance to swim downstream = 26 km

Concept Used:

Downstream Speed=Man’s speed + Stream speed

Time =DistanceSpeed= \frac{\text{Distance}}{\text{Speed}}

Solution:

Downstream speed=5 + 3 = 8 km/h

Time=268=3.25 hours=3 hours 15 minutes \frac{26}{8} = 3.25 \text{ hours} = 3 \text{ hours } 15 \text{ minutes} 

= 314\frac 14 hours​

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