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Q74. Which of the statement/s is/are sufficient/necessary to find the ratio between speed of the boat in still water to speed of the stream. The speed of the boat while travelling upstream is 24 km/hr. The boat can travel X km in Y hours while travelling upstream and 144 km in Y hours while travelling downstream. Time taken (in hours) by boat to travel 216 km upstream is Z hours more than that while travelling the same distance in downstream. (A) X − Y³ + Z³ > 102 (B) Time taken by boat to cover ‘Z’ km downstream in 18 hours. (a) Either (A) or (B) (b) Only (C) (c) None (d) Either (B) & (C) together (e) Only (B)
- Either (A) or (B)
- Only (C)
- None
- Either (B) & (C) together
Correct answer: None
Solution
The given data only tells us one exact upstream speed and a few separate time-distance relations, but not enough to uniquely determine both boat speed in still water and stream speed. Since the ratio depends on two unknowns, the information is insufficient.
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