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If 6 men working together can complete 50 identical tasks in 4 hours then how many such identical tasks can be completed if 10 men are working together for 6 hours?

Correct answer: C. 125

  • A. 20
  • B. 25
  • C. 125
  • D. 60

Explanation

The number of tasks is proportional to the number of men and working hours, so tasks = 50 × (10 men × 6 hours) ÷ (6 men × 4 hours) = 125 tasks. This uses total man-hours, not just the increase in the number of men. The likely mistake is choosing 60 tasks by scaling only one factor.

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About Time and Work

Problems measure work through rates, treating each person's or machine's contribution as work completed per unit time. Questions cover combined work, efficiency, wages, alternate working schedules, pipes and cisterns, and men-days relationships, with care needed to distinguish time taken by one worker from the time required when workers act together.

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