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    Question

    β€˜A’ and β€˜B’ can do a piece of work in 20 days

    and 40 days, respectively. If they started the work together and worked on it for 6 days, then find the time taken by β€˜B’ alone to complete the remaining work.
    A 20 days Correct Answer Incorrect Answer
    B 25 days Correct Answer Incorrect Answer
    C 27 days Correct Answer Incorrect Answer
    D 22 days Correct Answer Incorrect Answer

    Solution

    Let total amount of work be 40 unitsΒ  Efficiency of β€˜A’ = 40/20 = 2 units/day Efficiency of β€˜B’ = 40/40 = 1 units/day Amount of work done by β€˜A’ and β€˜B’ together in 6 days = (2 + 1) Γ— 6 = 18 units Time taken by B to complete remaining work = (40 – 18)/1 = 22 days

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