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    Question

    Arijit, Benny, and Chetna together can complete a work

    in 12 days. If the ratio of the efficiency of Arijit, Benny, and Chetna is 8:5:6, respectively, then find the time taken by Arijit alone to complete the whole work.
    A 18.5 days Correct Answer Incorrect Answer
    B 25 days Correct Answer Incorrect Answer
    C 20.5 days Correct Answer Incorrect Answer
    D 28.5 days Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the number of units of work done by Arijit, Benny and Chetna alone be 8a, 5a and 6a units per day, respectively. So, total work = 12 × (8a + 5a + 6a) = 228a units So, time taken by Arijit alone to complete the whole work = 228a/8a = 28.5 days

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