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If 12 men work 8 hours a day to complete a work in 10 days, how many men working 12 hours a day can complete the work in 5 days?

Correct answer: A. 16

  • A. 16
  • B. 4
  • C. 12
  • D. 8

Explanation

The total work is 12 men x 8 hours per day x 10 days = 960 man-hours. At 12 hours per day for 5 days, each man supplies 60 hours, so the required number is 960 man-hours ÷ 60 hours per man = 16 men. Students may choose 12 men by comparing only the number of days and ignoring the change in daily working hours.

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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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