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A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?

Correct answer: D. 30 min

  • A. 15 min
  • B. 20 min
  • C. 27.5 min
  • D. 30 min

Explanation

Let the total time be T minutes. B works for T/2 at 1/40 tank per minute, and both pipes work for T/2 at 1/60 + 1/40 = 1/24 tank per minute, so filled amount is T/2 x (1/40 + 1/24) = T/30. Setting T/30 = 1 gives T = 30 minutes. The likely mistake is choosing 20 minutes by adding the two pipe times incorrectly.

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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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