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    Question

    Individually, X, Y and Z can finish a job in 15 days, 20

    days, and 24 days respectively. How many days will they take to complete the job working together?
    A 6(6/19) days Correct Answer Incorrect Answer
    B 2(5/19) days Correct Answer Incorrect Answer
    C 3(7/19) days Correct Answer Incorrect Answer
    D 4(1/19) days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 120 units (LCM of 15, 20 and 24)

    Efficiency of 'X' = (120 ÷ 15) = 8 units/day

    Efficiency of 'Y' = (120 ÷ 20) = 6 units/day

    Efficiency of 'Z' = (120 ÷ 24) = 5 units/day

    Required time = 120 ÷ (8 + 6 + 5) = (120 ÷ 19) = 6(6/19) days

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