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    Question

    ‘A’ and ‘B’ can do a piece of work in 22 days

    and 25 days, respectively. If they started the work together and worked on it for 6 days, then find the time taken by ‘B’ alone to complete the remaining work.
    A 104/11 days Correct Answer Incorrect Answer
    B 114/11 days Correct Answer Incorrect Answer
    C 134/11 days Correct Answer Incorrect Answer
    D 154/11 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total amount of work be 550 units  Efficiency of ‘A’ = 550/22 = 25 units/day Efficiency of ‘B’ = 550/25 = 22 units/day Amount of work done by ‘A’ and ‘B’ together in 6 days = (25 + 22) × 6 = 282 units Time taken by B to complete remaining work = (550 – 282)/22 = 134/11 days

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