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    Question

    A can complete a piece of work in 80 days, B takes 20% more

    time than A to complete the same work while C takes 25% more time than B to complete the whole work. Find the time taken by all of them together to complete the whole work.
    A 32 days Correct Answer Incorrect Answer
    B 36 days Correct Answer Incorrect Answer
    C 20 days Correct Answer Incorrect Answer
    D 35 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Time taken by B to complete the whole work = 1.2 × 80 = 96 days
    Time taken by C to complete the whole work = 1.25 × 96 = 120 days
    Total work (let) = 480 units (LCM of 80, 96 and 120)
    Efficiency of A, B and C is 6 units/day, 5 units/day and 4 units/day respectively
    Desired Time = 480/15 = 32 days

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