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    Question

    'A' alone can do some work in 15 days. 'B' is 40% more

    efficient than 'A'. 'A' worked alone for 8 days and left. How much time (in days) does 'B' need to finish the remaining work?
    A 5 days Correct Answer Incorrect Answer
    B 6 days Correct Answer Incorrect Answer
    C 4 days Correct Answer Incorrect Answer
    D 9 days Correct Answer Incorrect Answer

    Solution

    Let the efficiency of 'A' be x units/day.
    So, efficiency of 'B' = 1.4x units/day.
    Total work = 15 × x = 15x units.
    Work done by 'A' in eight days = 8 × x = 8x units.
    Remaining work = 15x − 8x = 7x units.
    Time taken by 'B' to finish the remaining work = ({7x/1.4x} = 5) days.

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