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One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

Correct answer: C. 144 min.

  • A. 81 min.
  • B. 108 min.
  • C. 144 min.
  • D. 192 min.Computer Online Quiz

Explanation

Let the slower pipe's rate be x tank per minute; the faster pipe works at 3x. Together their rate is 4x = 1/36, so x = 1/144 tank per minute. Hence the slower pipe alone takes 144 minutes. The likely mistake is choosing 108 minutes by using the faster pipe's rate or by subtracting rather than adding the rates.

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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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