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    Question

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

    and 24 days, respectively. They started working together but ‘A’ left after 4 days. Find the time taken by ‘B’ to complete the remaining work.
    A 10 days Correct Answer Incorrect Answer
    B 15 days Correct Answer Incorrect Answer
    C 12 days Correct Answer Incorrect Answer
    D 14 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total amount of work be 24 units (LCM of 12 and 24). Efficiency of ‘A’ = 24/12 = 2 units/day Efficiency of ‘B’ = 24/24 = 1 units/day Amount of work done by ‘A’ and ‘B’ together in 4 days = (2 + 1) × 4 = 12 units Time taken by B to complete remaining work = {(24 – 12)/1} = 12 days

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