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    Question

    'Meera', 'Kiran', and 'Suman' together can complete a work

    in 30 days. 'Meera' and 'Kiran' together can complete the same work in 90 days. 'Suman' alone can finish the same work in how many days?
    A 45 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 = 90 units (LCM of 30 and 90)

    Combined efficiency of 'Meera' and 'Kiran' = (90/90) = 1 unit/day

    Combined efficiency of 'Meera', 'Kiran', and 'Suman' = (90/30) = 3 units/day

    Efficiency of 'Suman' = 3 - 1 = 2 units/day

    Time taken by 'Suman' to complete the work alone = (90/2) = 45 days

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