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Two taps X and Y can fill a tank in 10 hrs. and 15 hrs.respectively. If the both taps are opened together, the tank will be full in_________?

Correct answer: D. 6 hrs.Education

  • A. 3 hrs.
  • B. 4 hrs,
  • C. 5 hrs.
  • D. 6 hrs.Education

Explanation

Tap X fills 1/10 tank per hour and tap Y fills 1/15 tank per hour. Together their rate is 1/10 + 1/15 = 1/6 tank per hour, so the filling time is 6 hours. The likely mistake is option c, 5 hours, from adding the filling times instead of 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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