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    Question

    β€˜P’ and β€˜Q’ can complete a task together in 24

    days. If β€˜P’ alone can do it in 40 days, find the number of days β€˜Q’ alone will take to finish the task.
    A 60 days Correct Answer Incorrect Answer
    B 45 days Correct Answer Incorrect Answer
    C 25 days Correct Answer Incorrect Answer
    D 18 days Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total work be LCM(24, 40) = 120 units. Combined efficiency of β€˜P’ and β€˜Q’ = 120 Γ· 24 = 5 units/day Efficiency of β€˜P’ = 120 Γ· 40 = 3 units/day Efficiency of β€˜Q’ = 5 - 3 = 2 units/day Time taken by β€˜Q’ alone = 120 Γ· 2 = 60 days

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