A motor boat covers a certain distance downstream in a river in 3 hours It covers the same distance ...........

Quantitative Aptitude ( CCS) Boats and Streams

A motor boat covers a certain distance downstream in a river in 3 hours. It covers the same distance upstream in 3 hours and half. If the speed of the water is 1.5 km/h then the speed of the boat in still water is

17 km/h

17.5 km/h

19.5 km/h

19 km/h

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Explanation:

Downstream speed
x + y = d / 3 or d = 3 (x + y) …………. (i)
Upstream speed = x – y = (d × 2)/7
d = 7/2 (x - y)
6x + 6y = 7x – 7y
x = 13
Hence, y = Speed of current 1.5 km/h
x = 13 × 1.5
x = 19.5 km/h (speed of boat in still water)