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A can do a certain job in 12 days. B is 60% more efficient than A. The number of days it takes for B to do the same piece of work, is:_________?

Correct answer: B. 15/2 days

  • A. 12/6 days
  • B. 15/2 days
  • C. 23 days
  • D. 34 days

Explanation

A's rate is 1/12 work per day. B is 60% more efficient, so B's rate is 1.6 x 1/12 = 1/7.5 work per day, and B's time is 12/1.6 = 7.5 days = 15/2 days. The likely mistake is 12/6 days, which treats 60% more efficiency as doubling the efficiency.

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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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