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    Question

    Two workers, A and B, can finish a task in 36 days and 48

    days respectively, working alone. How many days will they take to complete the work together?
    A 20(4/7) days Correct Answer Incorrect Answer
    B 18(1/9) days Correct Answer Incorrect Answer
    C 23(4/7) days Correct Answer Incorrect Answer
    D 13(3/7) days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 144 units (LCM of 36 and 48)

    Efficiency of 'A' = (144 ÷ 36) = 4 units/day

    Efficiency of 'B' = (144 ÷ 48) = 3 units/day

    Required time = 144 ÷ (4 + 3) = (144 ÷ 7) = 20(4/7) days

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