A man can row at 6 kmph in still water. If the velocity of current is 2 kmph and it takes him 3 hour to row to a place and come back, how far is the place?
Answer & explanation
Correct answer: option 1
Speed of boat in still water = 6 km/hr
Speed of current = 2 km/hr
Speed of boat in downstream = 6 + 2 = 8 km/hr
Speed of boat in upstream = 6 - 2 = 4 km/hr
Let the distance b/w two points = x
Time = \(\frac{Distance}{Speed}\)
ATQ,
\(\frac{x}{8}\) + \(\frac{x}{4}\) = 3 hrs
\(\frac{x + 2x }{8}\) = 3 hrs
3x = 24
x = 8 km