Discussion
A man can row a boat to reach a place upstream in 10 minutes. He took only 5 minutes to return downstream. If the speed of the stream is 2 m/s, then the speed of the boat is:
Answer: D
The distance is the same both ways, so the speeds are inversely proportional to the times. Upstream takes 10 minutes and downstream 5 minutes, so the downstream speed is twice the upstream speed. With the boat's speed b and the stream's speed 2 m/s, the equation is as shown.
\[ b + 2 = 2(b - 2) \]
\[ b = 6 \]
The speed of the boat in still water is 6 m/s. Check: upstream 4 m/s and downstream 8 m/s, which is double.
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