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4 men and 2 woman can complete a work in 2 days. If 2 men alone take 5 days to complete the work, find the time taken by 2 women alone to complete the work.

Correct answer: B. 10 days

  • A. 15 days
  • B. 10 days
  • C. 8 days
  • D. 20 days

Explanation

The complete work rate of 4 men and 2 women is 1/2 work per day. Two men complete 1/5 work per day, so 4 men complete 2/5 work per day; therefore 2 women complete 1/2 - 2/5 = 1/10 work per day and need 10 days. The likely trap is 15 days, which results from subtracting the rates incorrectly.

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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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