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 of the current is?

1.5 km/hr
1 km/hr
2 km/hr
2.5 km/hr

Correct Answer: 2 km/hr

Explanation:

Let the speed upstream be U km/hr and the speed downstream be V km/hr respectively.
Then 24/U + 36/V = 6 ...(i)
and 36/U + 24/V = 13/2 ...(ii)
Solving these 2 equations we get
∴ U = 8 km/hr and V = 12 km/hr
∴ Velocity of current = (12 - 8)/2 km/hr = 2 km/hr

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