Question:
A cyclist drove one kilometer, with the wind in his back, in three minutes, and drove the same way back, against the wind, in four minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometer without wind?
A cyclist drove one kilometer, with the wind in his back, in three minutes, and drove the same way back, against the wind, in four minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometer without wind?
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Constant force on the pedals is not the same as a constant speed added or removed by the wind, so check carefully whether the usual v+w, v-w method actually applies here.
Updated On: Jul 14, 2026
- 3 3/7 minutes
- The data given is not sufficient to find the answer
- 3.5 minutes
- None of these
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The Correct Option is B
Solution and Explanation
Naive approach gives v+w=1/3, v-w=1/4, v=7/24, time=24/7=3 3/7 min. BUT the question specifies constant FORCE, not constant speed contribution from wind. Force changes momentum; how speed responds to force+wind resistance needs mass and drag-vs-speed relationship, which are not given. With only 2 timed trips and no physical details, the no-wind time cannot be uniquely determined.
Final Answer: Data insufficient, option (2).
Final Answer: Data insufficient, option (2).
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