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    Sonu can complete a work in 25 days, and Kavita can do the same work in 20 days. Both work together for 5 days, after which Sonu leaves. How many days
    Question

    Sonu can complete a work in 25 days, and Kavita can do the same work in 20 days. Both work together for 5 days, after which Sonu leaves. How many days will it take for Kavita to complete the remaining work?

    A.

    7

    B.

    9

    C.

    11

    D.

    12

    Correct option is C

     
    Given:
    - Sonu can complete the work in 25 days.
    - Kavita can complete the work in 20 days.
    - Both work together for 5 days, then Sonu leaves. Formula Used:
    1. Work rate =
    2. Remaining work = Total work - Work done in initial days Solution:
    1. Calculate work rate of Sonu: Sonu's rate = 1/25
    2. Calculate work rate of Kavita: Kavita's rate = 1/20
    3. Combined work rate of Sonu and Kavita:
    4. Work done in 5 days by both:
    5. Remaining work: Remaining work = 0.55
    6. Time taken by Kavita to complete remaining work: Time = 11 days Answer: (c) 11

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