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    Question

    ‘P’ and ‘Q’ can complete a task together in 30

    days. If ‘P’ is 60% more efficient than ‘Q’, how many days will ‘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 ‘Q’ be 10x units. Efficiency of ‘P’ = 10x × 1.6 = 16x units Total work = 30 × (10x + 16x) = 780x units Time taken by ‘Q’ alone = 780x ÷ 10x = 78 days

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