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    Question

    β€˜D’ and β€˜E’ together finish a task in 20 days.

    If β€˜D’ is 70% more efficient than β€˜E’, how many days will β€˜E’ take to complete the task alone?
    A 78 days Correct Answer Incorrect Answer
    B 48 days Correct Answer Incorrect Answer
    C 54 days Correct Answer Incorrect Answer
    D 19 days Correct Answer Incorrect Answer

    Solution

    Let the efficiency of β€˜E’ be 10x units. Efficiency of β€˜D’ = 10x Γ— 1.7 = 17x units Total work = 20 Γ— (10x + 17x) = 540x units Time taken by β€˜E’ alone = 540x Γ· 10x = 54 days

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