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    Question

    β€˜A’ and β€˜B’ can do a piece of work in 17 days

    and 34 days, respectively. They started working together but β€˜A’ left after 4 days. Find the time taken by β€˜B’ to complete the remaining work.
    A 20 days Correct Answer Incorrect Answer
    B 21 days Correct Answer Incorrect Answer
    C 22 days Correct Answer Incorrect Answer
    D 25 days Correct Answer Incorrect Answer

    Solution

    Let total amount of work be 34 units (LCM of 17 and 34). Efficiency of β€˜A’ = 34/17 = 2 units/day Efficiency of β€˜B’ = 34/34 = 1 units/day Amount of work done by β€˜A’ and β€˜B’ together in 4 days = (2 + 1) Γ— 4 = 12 units Time taken by B to complete remaining work = {(34 – 12)/1} = 22 days

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