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    Question

    ‘A’ and ‘B’ can do a piece of work in 20 days

    and 32 days, respectively. If they started the work together and worked on it for 5 days, then find the time taken by ‘B’ alone to complete the remaining work.
    A 18 days Correct Answer Incorrect Answer
    B 17 days Correct Answer Incorrect Answer
    C 16 days Correct Answer Incorrect Answer
    D 19 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total amount of work be 160 units  Efficiency of ‘A’ = 160/20 = 8 units/day Efficiency of ‘B’ = 160/32 = 5 units/day Amount of work done by ‘A’ and ‘B’ together in 5 days = (8 + 5) × 5 = 65 units Time taken by B to complete remaining work = (160 – 65)/5 = 19 days

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