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    Question

    There are 6 inlet and (x-2) outlet pipes attached to a

    tank. Each inlet pipe takes 20 hours to fill the tank and each outlet pipe empties the fully filled tank in 15 hours. If all the pipes are opened together, the tank gets filled in 10 hours. Find the value of 'x
    A 10 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total work = 60 units (LCM of 20 and 15) Inlet efficiency = 3 unit Outlet efficiency = -4 unit Total efficiency of inlet = 6 × 3 = 18 unit Total efficiency of outlet = -4 (x – 2) = (8 – 4x) unit ATQ: => (18 + 8 – 4x) × 10 = 60 => (26 – 4x) = 60/10 => 4x = 26 – 6 = 20 => x = 5

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