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    How many days are required by Priya to clean the house, if Mona can do it in 5 days and together they can complete in 3 days.
    Question

    How many days are required by Priya to clean the house, if Mona can do it in 5 days and together they can complete in 3 days.

    A.

    7.5 days

    B.

    5.5 days

    C.

    9 days

    D.

    12 days

    Correct option is A

    Given:
    Mona can clean the house in = 5 days
    Mona + Priya can do it together in = 3 days
    Formula Used:
    work = time × efficiency
    Solution:
    Total Work = LCM of 3 and 5 = 15 unit
    Efficiency of Mona = 155=3\frac{15}{5} = 3 unit per day
    Efficiency of Mona and Priya together = 153=5\frac{15}{3} = 5​ unit per day
    Efficiency of Priya = Efficiency of Mona + Priya - efficiency of Mona = 5 - 3 = 2
    Time required for Priya to finish work = 152\frac {15}2​ = 7.5 days

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