Question

If a man rows @ 6kmph in still water & 4.5 km / hr against the current , then his speed along the current is ?

Answer 1

Hey! ! !

Solution :-

☆ Let the place the man rows to be x and he rows back the same x distance.

In still water he rows at 6 kmph. When the current is 1.2 kmph, he goes to that place rowing at 6+1.2 = 7.2 kmph, and when he rows back his speed is 6–1.2 = 4.8 kmph.

The total time : x/7.2 + x/4.8 = 1, or

10x/72 + 10x/48 = 1, or

480x + 720x = 72*48, or

1200x = 72*48, or

x = 72*48/1200 = 2.88 km.

Check: Rowing downstream, time taken = 2.88/7.2 = 0.4 hour.

Rowing upstream, time taken = 2.88/4.8 = 0.6 hour.

Total time for rowing to and fro = 0.4+0.6 = 1 hour. Correct.

The place is 2.88 km downstream.

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