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    P can do work in 12 hr, Q in 6 hr. Together they must do double the work. Time required?
    Question

    P can do work in 12 hr, Q in 6 hr. Together they must do double the work. Time required?

    A.

    5 hr

    B.

    7 hr

    C.

    8 hr

    D.

    6 hr

    Correct option is C

    Given:

    P = 12 hr Q = 6 hr Work required = double (2 units)
    Formula:

    Work rate = 1 ÷ time Time = work ÷ combined rate
    Solution:

    P’s rate = 1/12 Q’s rate = 1/6 = 2/12

    Combined = 3/12 = 1/4 Time = 2 ÷ (1/4) = 8 hr

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