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Q: A person rows a kilometer down the stream in 10 minutes and up the stream in 30 minutes. Find the velocity of the stream.
A. 1 kmph B. 2 kmph
C. 5 kmph D. 3kmph

Answer and Explanation

Answer:2 kmph

Explanation:
Let the speed upstream and speed downstream be Su and Sd respectively
=> Su = (1000/30)(1/60) = 5/9 m/s
=> Sd = (1000/10) (1/60) = 5/3 m/s
=> Let the speed of the boat and the current be x m/s and y m/s respectively
=> x + y = 5/3
=> x – y = 5/9
=> Solving these two equations simultaneously,
=> y = 5/9 m/s = 5/9 (3600 / 1000) = 2 kmph
The speed of the current = 2 kmph

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