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    Question

    P and Q can finish a job working

    together in 24 days. P completes two-thirds of the task in 'd' days, and Q finishes the rest in 'd/4' days. Determine the value of 'd'.
    A 38 Correct Answer Incorrect Answer
    B 48 Correct Answer Incorrect Answer
    C 28 Correct Answer Incorrect Answer
    D 44 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Time taken by P  to complete the task = d/(2/3) = (3/2)d days Time taken by Q to complete the task = (d/4)/(1/3) = (3d/4) days According to question, 2/3d + 4/3d = 1/24 (2 + 4)/3d = 1/24 2/d = 1/24 d = 2 × 24 = 48

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