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      Question

      Pipe โ€˜Aโ€™ can fill a tank in 30 hours while pipe

      โ€˜Bโ€™ can empty it in 40 hours. They were operated on alternate hours starting with pipe โ€˜Aโ€™. Find the percentage of tank filled this way in 60 hours.
      A 47.5% Correct Answer Incorrect Answer
      B 25% Correct Answer Incorrect Answer
      C 37.5% Correct Answer Incorrect Answer
      D 27.5% Correct Answer Incorrect Answer

      Solution

      Let the total capacity of tank be 120 units Efficiency of pipe โ€˜Aโ€™ = 120/30 = 4 units/hour Efficiency of pipe โ€˜Bโ€™ = 120/40 = 3 units/hour Tank filled in 2 hours = (4 โ€“ 3) = 1 units Therefore, tank filled in (2 ร— 30 = 60 hours) = 1 ร— 30 = 30 units Required percentage of tank filled = (30/120) ร— 100 = 25%

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