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    Question

    Pipes β€˜A’ and β€˜B’ can fill a tank in 6 hours and

    9 hours, respectively. If pipe β€˜C’ is opened along with pipes β€˜A’ and β€˜B’, then the tank gets filled in 4.5 hours. Find the time taken by pipe β€˜C’ to empty (2/3)th part of the same tank.
    A 10 hours Correct Answer Incorrect Answer
    B 13 hours Correct Answer Incorrect Answer
    C 12 hours Correct Answer Incorrect Answer
    D 11 hours Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let capacity of the tank = 18 litres (lcm of 6 and 9) Efficiency of pipe β€˜A’ = (18/6) = 3 litres/hour Efficiency of pipe β€˜B’ = (18/9) = 2 litres/hour Efficiency of all the three pipes together = (18/4.5) = 4 litres/hour Efficiency of pipe β€˜C’ = 4 – (3 + 2) = (-1) litre/hour {Negative sign shows that pipe β€˜C’ is an outlet pipe} Required time taken = {(2/3) Γ— 18)}/1 = 12 hours

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