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If 6 men can make 10 sofas in 2 days, then 8 men can make 8 sofas in__________?

Correct answer: C. 1.2 days

  • A. 1.8 days
  • B. 1.5 days
  • C. 1.2 days
  • D. 1 day

Explanation

Six men working for 2 days provide 6 x 2 = 12 man-days to make 10 sofas, so each sofa requires 12/10 = 1.2 man-days. For 8 sofas, the required work is 8 x 1.2 = 9.6 man-days; 8 men therefore take 9.6/8 = 1.2 days. The likely mistake is option b, 1.5 days, from scaling the number of men or sofas in the wrong direction.

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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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