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      Question

      Two pipes 'X' and 'Y' can fill a tank in 24 minutes and

      36 minutes, respectively, while a pipe 'Z' can empty the tank in 72 minutes. If all three pipes are opened simultaneously, how much time (in seconds) will it take to fill the tank?
      A 1,080 secs Correct Answer Incorrect Answer
      B 1,527 secs Correct Answer Incorrect Answer
      C 3,544 secs Correct Answer Incorrect Answer
      D 1,056 secs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the capacity of tank be 72 litres (LCM of 24, 36, and 72)

      Efficiency of 'X' = 72 ├╖ 24 = 3 litres/minute

      Efficiency of 'Y' = 72 ├╖ 36 = 2 litres/minute

      Efficiency of 'Z' = 72 ├╖ 72 = 1 litre/minute (outlet)

      Required time = 72 ├╖ (3 + 2 - 1)

      = 72 ├╖ 4 = 18 minutes = 18 ├Ч 60 = 1,080 seconds

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