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      Question

      The ratio of the rate of filling of two taps A and B is

      3:2, respectively. If working together they can fill 3/4 of a tank in 18 minutes, how long will tap A alone take to fill the tank?
      A 20 minutes Correct Answer Incorrect Answer
      B 40 minutes Correct Answer Incorrect Answer
      C 25 minutes Correct Answer Incorrect Answer
      D 60 minutes Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the rate of filling of taps A and B be β€˜3a’ units per minute and β€˜2a’ units per minute, respectively. Total capacity of tank = 24 Γ— (3a + 2a) = 24 Γ— 5a = 120a units Required time taken by tap A = 120a/3a = 40 minutes

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