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    Question

    ‘A’ and ‘B’ can do a piece of work in 12 days

    and 15 days, respectively. If they started the work together and worked on it for 2 days, then find the time taken by ‘B’ alone to complete the remaining work.
    A 11.5 days Correct Answer Incorrect Answer
    B 12.5 days Correct Answer Incorrect Answer
    C 10.5 days Correct Answer Incorrect Answer
    D 14.5 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total amount of work be 60 units  Efficiency of ‘A’ = 60/12 = 5 units/day Efficiency of ‘B’ = 60/15 = 4 units/day Amount of work done by ‘A’ and ‘B’ together in 2 days = (5 + 4) × 2 = 18 units Time taken by B to complete remaining work = (60 – 18)/4 = 10.5 days

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