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A person can row a boat at 10 km/h in still water. He takes two and half hours to row from A to B and back. If the distance between A and B is 12 km, then the speed of the stream is
(1) 3 km/h
(2) \(2\frac{1}{2}\) km/h
(3) 2 km/h
(4) \(1\frac{1}{2}\) km/h
A person can row a boat at 10 km/h in still water. He takes two and half hours to row from A to B and back. If the distance between A and B is 12 km, then the speed of the stream is
(1) 3 km/h
(2) \(2\frac{1}{2}\) km/h
(3) 2 km/h
(4) \(1\frac{1}{2}\) km/h
Correct option is (3) 2 km/h
Let speed of stream = x km/hr
Then according to the question \(\frac{12}{10+\text{x}}+\frac{12}{10-\text{x}}=\frac{5}{2}\) ⇒ x = 2