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    Kiran can complete a task in 15 days. He works for 5 days and then leaves. If Venkat completes the remaining task in 30 days. then in how many days ca
    Question

    Kiran can complete a task in 15 days. He works for 5 days and then leaves. If Venkat completes the remaining task in 30 days. then in how many days can Venkat alone complete the same task?

    A.

    45

    B.

    50

    C.

    40

    D.

    48

    Correct option is A

    Given:

    Kiran complete the work = 15 days 

    Formula Used​​

    total work = number of days ×\times efficiency
    Solution:

    let efficiency of Kiran = x 

    let efficiency of  Venkat = y 

    according to question 

    10 days ×\times x (efficiency of Kiran) = 30 days ×\times​ y (efficiency of Venkat)

    x\y =3\1

    total work = number of days ×\times​ efficiency

                    = 3×\times15

                    45 units

    so 45 unit of work done by Venkat in =   total work \ efficiency 

                                                              =45\1 days

                                                            = 45 days 

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