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If 6 men take 9 days to complete a work, how many men can complete the work in 3 days?

Correct answer: D. 18 men

  • A. 2 men
  • B. 12 men
  • C. 9 men
  • D. 18 men

Explanation

The total work is 6 men x 9 days = 54 man-days. To finish the same 54 man-days in 3 days requires 54/3 = 18 men. The likely mistake is option c, 9 men, from dividing the number of men by the time ratio instead of multiplying it by 9 days / 3 days.

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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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