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    Question

    'Karan', 'Ravi', and 'Deepak' together can complete a work

    in 24 days. 'Karan' and 'Ravi' together can complete the same work in 96 days. 'Deepak' alone can finish the same work in how many days?
    A 12 days Correct Answer Incorrect Answer
    B 32 days Correct Answer Incorrect Answer
    C 30 days Correct Answer Incorrect Answer
    D 25 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work = 96 units (LCM of 24 and 96)

    Combined efficiency of 'Karan' and 'Ravi' = (96/96) = 1 unit/day

    Combined efficiency of 'Karan', 'Ravi', and 'Deepak' = (96/24) = 4 units/day

    Efficiency of 'Deepak' = 4 - 1 = 3 units/day

    Time taken by 'Deepak' to complete the work alone = (96/3) = 32 days

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