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In the stream, the ratio of time taken by Boat A to that by Boat B while travelling the same distance upstream is 2 : 1. The ratio of the time taken by Boat A to that by Boat B while travelling the same distance downstream is 3 : 2. The speed of the stream is what percentage of the still water speed of Boat B?
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- The time taken by a boat to travel a certain distance is inversely proportional to its speed.
- Given that the time ratio of Boat A to Boat B:
- Upstream: 2:1, indicates Boat B is twice as fast as Boat A upstream.
- Downstream: 3:2, implies Boat B is 1.5 times as fast as Boat A downstream.
- Let the speed of Boat B in still water be V, and the speed of the stream be S.
- The speed downstream for Boat B is V+S and upstream is V−S.
- Solving these relations, it turns out that S/V=1/5, or 20%.
Correct Answer: Option 3 – 20%.
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