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    Question

    ‘A’ and ‘B’ can do a piece of work in 15 days

    and 20 days, respectively. They started working together but ‘A’ left after 3 days. Find the time taken by ‘B’ to complete the remaining work.
    A 10 days Correct Answer Incorrect Answer
    B 12 days Correct Answer Incorrect Answer
    C 13 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 60 units (LCM of 15 and 20). Efficiency of ‘A’ = 60/15 = 4 units/day Efficiency of ‘B’ = 60/20 = 3 units/day Amount of work done by ‘A’ and ‘B’ together in 3 days = (4 + 3) × 3 = 21 units Time taken by B to complete remaining work = {(60 – 21)/3} = 13 days

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