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      Question

      Pipe ‘A’ can fill a tank in 22 hours while pipe

      ‘B’ can empty it in 25 hours. They were operated on alternate hours starting with pipe ‘A’. Find the percentage of tank filled this way in 55 hours.
      A 47.5% Correct Answer Incorrect Answer
      B 25% Correct Answer Incorrect Answer
      C 15% Correct Answer Incorrect Answer
      D 27.5% Correct Answer Incorrect Answer
      E 5% Correct Answer Incorrect Answer

      Solution

      Let the total capacity of tank be 550 units Efficiency of pipe ‘A’ = 550/22 = 25 units/hour Efficiency of pipe ‘B’ = 550/25 = 22 units/hour Tank filled in 2 hours = (25 – 22) = 3 units Therefore, tank filled in (2 × 27.5 = 55 hours) = 3 × 27.5 = 82.5 units Required percentage of tank filled = (82.5/550) × 100 = 15%

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