A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and

Question

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

Options:

A . 2.4 km

B . 2.5 km

C . 3 km

D . 3.6 km

Answer: Option A

Speed downstream = (5 + 1) kmph = 6 kmph.

Speed upstream = (5 - 1) kmph = 4 kmph.

Let the required distance be x km.

Then, \(\frac{x}{6}+\frac{x}{4} = 1 \)

2x + 3x = 12

5x = 12

x = 2.4 km.

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