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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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