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Jameel can complete a task in 15 hours and Nasir can complete the same task in 12 hours. Jameel starts the task at 9:00 am and stops working at 2:00pm. Nasir starts working on the task at 4:00 pm. At what time is the task completed?

Correct answer: C. 12:00 am

  • A. 12:00 pm
  • B. 2:00 am
  • C. 12:00 am
  • D. 10:00 pm

Explanation

Jameel works from 9:00 am to 2:00 pm, which is 5 hours, and completes 5 hours x 1/15 of the work per hour = 1/3 of the work. Nasir completes the remaining 2/3 at 1/12 of the work per hour, requiring 8 hours; beginning at 4:00 pm, the task finishes at 12:00 am. Students may choose 2:00 am by mistakenly counting the 2-hour gap as working time or using a 10-hour completion period.

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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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