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      Question

      Tap 'A' can fill a tank 'X' in 36 minutes while it takes 54

      minutes when there is a leakage tank 'Y'. If tap 'B' is 33(1/3)% less efficient than tap 'A', then find the time taken by tap 'B' to fill the leakage tank 'Y'. (Capacity of tanks 'X' and 'Y' are equal)
      A 108 minutes Correct Answer Incorrect Answer
      B 96 minutes Correct Answer Incorrect Answer
      C 72 minutes Correct Answer Incorrect Answer
      D 90 minutes Correct Answer Incorrect Answer
      E 84 minutes Correct Answer Incorrect Answer

      Solution

      Let the total capacity of the tank be 108 units [L.C.M. of 36 and 54]
      So, the efficiency of tap 'A' = (108/36) = 3 units/minute
      Efficiency of tap 'A' with leakage = [108 Γ· 54] = 2 units/minute
      So, the efficiency of leakage = 3 - 2 = 1 unit/minute
      Efficiency of tap 'B' = 3 Γ— (2/3) = 2 units/minute
      So, effective efficiency of tap 'B' along with leakage = 2 - 1 = 1 unit/minute
      Therefore, required time = (108/1) = 108 minutes

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