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    Question

    Pooja can complete a task in 45 days and Kavita in 30

    days. A third person, Mehul, is 20% more efficient than both of them combined. How many days will Mehul take to finish the work alone?
    A 22 days Correct Answer Incorrect Answer
    B 54 days Correct Answer Incorrect Answer
    C 15 days Correct Answer Incorrect Answer
    D 12 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total amount of work = 90 units (LCM of 45 and 30) Work done by Pooja in one day = 90/45 = 2 units Work done by Kavita in one day = 90/30 = 3 units Work done by Mehul in one day = 1.20 × (2 + 3) = 6 units Required time = 90/6 = 15 units

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