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    Question

    'Ankit', 'Manish', and 'Tarun' together can complete a work

    in 25 days. 'Ankit' and 'Manish' together can complete the same work in 75 days. 'Tarun' alone can finish the same work in how many days?
    A 45.7 days Correct Answer Incorrect Answer
    B 32 days Correct Answer Incorrect Answer
    C 37.5 days Correct Answer Incorrect Answer
    D 25 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work = 75 units (LCM of 25 and 75)

    Combined efficiency of 'Ankit' and 'Manish' = (75/75) = 1 unit/day

    Combined efficiency of 'Ankit', 'Manish', and 'Tarun' = (75/25) = 3 units/day

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

    Time taken by 'Tarun' to complete the work alone = (75/2) = 37.5 days

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