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    Question

    ‘A’ and ‘B’ can do a piece of work in 30 days

    and 20 days, respectively. If they started the work together and worked on it for 4 days, then find the time taken by ‘B’ alone to complete the remaining work.
    A 47/3 days Correct Answer Incorrect Answer
    B 46/3 days Correct Answer Incorrect Answer
    C 40/3 days Correct Answer Incorrect Answer
    D 41/3 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’ = 60/30 = 2 units/day Efficiency of ‘B’ = 60/20 = 3 units/day Amount of work done by ‘A’ and ‘B’ together in 4 days = (2 + 3) × 4 = 20 units Time taken by B to complete remaining work = (60 – 20)/3 = 40/3 days

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