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      Question

      Pipe β€˜A’ and pipe β€˜B’, together can fill 20% of

      a tank in 5 hours while pipe β€˜C’ takes 30 hours to empty it. Pipe β€˜A’ and pipe β€˜B’ were opened together. After 24 hours, pipe β€˜C’ is also opened. Find the total time taken to fill the empty tank this way.
      A 30 hours Correct Answer Incorrect Answer
      B 20 hours Correct Answer Incorrect Answer
      C 35 hours Correct Answer Incorrect Answer
      D 25 hours Correct Answer Incorrect Answer

      Solution

      Time taken by pipe β€˜A’ and pipe β€˜B’, together to fill the tank = 5/0.2 = 25 hours Let the total capacity of tank = 150 units Efficiency of pipe (A + B) = 150/25 = 6 units/hour Efficiency of pipe β€˜C’ = 150/30 = 5 units/hour Tank filled by pipe (A + B) in 24 hours = 24 Γ— 6 = 144 units Time taken by all three pipes to fill the remaining tank = (150 – 144)/(6 – 5) = 6 hours Total time taken = 24 + 6 = 30 hours

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