A train cleaning crew takes 20 minutes per coach. If 3 workers clean 6 coaches together in 30 minutes, how many workers are needed to clean 15 coaches in 25 minutes?
Correct answer: C. 10
- A. 6
- B. 8
- C. 10
- D. 12
Explanation
To solve this problem, we first determine the total work in 'worker-minutes'. Initially, 3 workers clean 6 coaches in 30 minutes, resulting in 3 workers * 30 minutes = 90 worker-minutes for 6 coaches. Therefore, each coach requires 90/6 = 15 worker-minutes. For 15 coaches, the total work required is 15 * 15 = 225 worker-minutes. Given the time constraint of 25 minutes, the number of workers required is 225 / 25 = 9 workers. As we cannot have a fraction of a worker, we round up to the nearest whole number, which is 10 workers. Option A does not account for the time reduction, leading to an underestimate. Option B also underestimates the need for workers. Option D overestimates by not properly considering the time and workload balance.
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