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    Question

    β€˜P’ and β€˜Q’ can complete a task together in 30

    days. If β€˜P’ is 60% more efficient than β€˜Q’, how many days will β€˜Q’ take to finish the work alone?
    A 78 days Correct Answer Incorrect Answer
    B 48 days Correct Answer Incorrect Answer
    C 68 days Correct Answer Incorrect Answer
    D 98 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the efficiency of β€˜Q’ be 10x units. Efficiency of β€˜P’ = 10x Γ— 1.6 = 16x units Total work = 30 Γ— (10x + 16x) = 780x units Time taken by β€˜Q’ alone = 780x Γ· 10x = 78 days

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