A man rows to a place 48 km distance and back in 14 hours

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A man rows to a place 48 km distance and back in 14 hours . He finds that he can row 4 km with the stream in the same time as 3 km against the stream. Find the rate of the stream ?

1. 1 km/hr
2. 2 km/hr
3. 1.5 km/hr
4. 2.5 km/hr

Correct Option: A

Suppose that the man takes H hours to cover 4 km downstream and H house to cover 3 km upstream.
Then, 48H/4 + 48H/3 = 14
⇒ H = 1/2
∴ Rate upstream = 3/(1/2)= 6 km/hr
and rate downstream = 4/(1/2) = 8 km/hr
∴ Rate of the stream = (8 - 6)/2 = 1 km/hr .