A man rows to a place 60 km distance and back in 13 hours 30 minutes He finds that he can row 5 km w...........

Quantitative Aptitude ( CCS) Boats and Streams

A man rows to a place 60 km distance and back in 13 hours 30 minutes. He finds that he can row 5 km with the stream in the same time as he can row 4 km against the stream. Find the rate of the stream.

8km/hr

1/2 km/hr

10 km/hr

1 km/hr

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Explanation:

60/ (x + y) + 60/(x - y) = 27/2 ………. (i)
5/ (x + y) = 4/(x - y)
5x – 5y = 4x + 4y
x = 9y …………. (ii)
Put this in equation (i)
60/10y + 60/8y = 27/2
27y/2 = 27/2
y = 1 km/hr