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P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?

Correct answer: B. 6

  • A. 8
  • B. 6
  • C. 4
  • D. 2

Explanation

Q completes 10 days x 1/15 of the work per day = 2/3 of the work, leaving 1/3. P works at 1/18 of the work per day, so the remaining time is (1/3) ÷ (1/18 per day) = 6 days. Students may choose 4 days by using Q's faster rate for P's remaining work.

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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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