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      Question

      Tap P can fill a tank in 18 hours, while tap Q can do it

      in 9 hours. If taps P, Q, and R are opened at the same time, how long will it take to fill the tank, given that tap R's efficiency is 50% greater than that of tap P?
      A 4 hrs Correct Answer Incorrect Answer
      B 12 hrs Correct Answer Incorrect Answer
      C 18 hrs Correct Answer Incorrect Answer
      D 6 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Time taken by tap C alone to ill the tank = 18/1.5 = 12 hours One hour work of tap A, tap B and tap C together = (1/18 + 1/9 + 1/12) = (2 + 4 + 3)/36 = 1/4 So, time taken by tap A, tap B, and tap C to ill the tank = 1/ (1/4) = 4 hours 

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