A man can row at 6 kmph in still water. If the velocity of current is 2 kmph and it takes him 3 hours to row to a place and come back, how far is the place?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 8 km
Against the current the man’s speed is his speed minus the current’s, and with the current it is their sum. Let the place be \(d\) km away.
Upstream speed \(=6-2=4\) km/h; downstream speed \(=6+2=8\) km/h
Total time: \(\displaystyle \frac{d}{4}+\frac{d}{8}=3\)
\(\displaystyle \frac{3d}{8}=3\), so \(d=8\) km