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A boat covers 24 km upstream and 36 km downstream in 6 hours while it covers 36 km upstream and 24 km downstream in 6 1 2 hours . The velocity (in kmph ) of the current is

Correct answer

2

Step-by-step solution

Let rate of upstream = x kmph and rate of downstream = y kmph. Then, 24 x + 36 y = 6 … . ( i ) and 36 x + 24 y = 13 2 … . ( i i ) Solving (i) & (ii) y = 12 km hr - 1 and x = 8 km hr - 1 ∴ Speed upstream = 8 kmph, Speed downstream = 12 kmph. Hence, rate of current = 1 2 12 - 8 kmph = 2 kmph .

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