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A is thrice as good a work man as B and takes 10 days less to do a piece of work than B takes. B can do the work in:___________?

Correct answer: A. 15 days

  • A. 15 days
  • B. 14 days
  • C. 16 days
  • D. 30 days

Explanation

A is three times as efficient as B, so A's time is one-third of B's time. If B takes t days, then t - t/3 = 10 days, giving 2t/3 = 10 days and t = 15 days. The likely mistake is option d, 30 days, from interpreting 'thrice as good' as a difference of three times rather than a rate ratio of 3:1.

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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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