River is running at 2 kmph. It took a man twice as long to row up as to row down the river. The. rate (in km ph) of the man in still water is :

A) 8

B) 10

C) 4

D) 6

Correct answer:
D) 6

Description for Correct answer:
Let rate upstream be kmph

Then, rate downstream = 2x kmph

\( \Large \therefore \) Rate of current

\( \Large \frac{1}{2} (2x - x) = \frac{x}{2} \ kmph \)

\( \Large \therefore \frac{x}{2} = 2 => x = 4 \)

\( \Large \therefore \) Rate upstream = 4 kmph

Rate downstream = 8 kmph

\( \Large \therefore \) Rate in still water

= \( \Large \frac{1}{2} (8 + 4) = 6 \ kmph \)


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