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    Question

    ‘A’ and ‘B’ can do a piece of work in 25 days

    and 30 days, respectively. If they started the work together and worked on it for 8 days, then find the time taken by ‘B’ alone to complete the remaining work.
    A 10.4 days Correct Answer Incorrect Answer
    B 13.4 days Correct Answer Incorrect Answer
    C 12.4 days Correct Answer Incorrect Answer
    D 11.4 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total amount of work be 150 units  Efficiency of ‘A’ = 150/25 = 6 units/day Efficiency of ‘B’ = 150/30 = 5 units/day Amount of work done by ‘A’ and ‘B’ together in 8 days = (6 + 5) × 8 = 88 units Time taken by B to complete remaining work = (150 – 88)/5 = 12.4 days

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