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P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in________days

Correct answer: D. 4

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Explanation

Q's rate is 1/12 work per day, and P works twice as fast, so P's rate is 2/12 = 1/6 work per day. Their combined rate is 1/12 + 1/6 = 1/4 work per day, so they finish in 1 ÷ 1/4 = 4 days. The likely trap is 2 days, from doubling Q's speed without adding Q's contribution.

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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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