In How Many Days will the Work be Completed? If

Anuj, Vikram and Sameer alone can complete a work in 20 days, 30 days and 60 days respectively. Anuj works alone, however on every third day, he takes the help of Vikram and Sameer. In how many days will the work be completed?

  1. 25 days
  2. 15 days
  3. 18 days
  4. 21 days
vijay Professor Asked on 7th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 15 days

    Explanation:-
    Anuj can complete a work = 20 days
    Then, Anuj can do work in a day = 1/20

    Vikram can complete the work = 30 days
    Vikram can do work in a day = 1/30

    Sameer can complete the work = 60 days
    Sameer can dowork in a day = 1/60

    Anuj, Vikram & Sameer can together work  in a day = 1/20 + 1/30 + 1/60
    = (3 + 2 + 1) /60
    = 6/ 60
    = 1/10

    Anuj works alone, however on every third day, he takes the help of Vikram and Sameer.
    Therefore, they can work together  = 1/ 20 + 1/20 + 1/10
    = (1  + 1 + 2)/20
    = 4/ 20
    = 1/ 5
    Then,  they can complete the work = 3 x 5
    = 15 days.

    Hence, answer is (2) 15 days.

    Anurag Mishra Professor Answered on 7th August 2015.
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