In How Many day A, B and C can Together can Complete it? if

A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together can complete it in

  1. 6 days
  2. 9 days
  3. 10 days
  4. 10.5 days
Desire Adnan Default Asked on 4th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (3) 10 days
    Explanation:-
    A  and B can together complete the work = 12 days
    A and B can do together work in a day = 1/12

    B and C can complete the work  = 20 days
    B and C can do the work in a day = 1/20

    C and A can complete the work = 15
    C and A can do the work = 1/15

    A, B  and C can do together work in a day = (1/12 + 1/20 + 1/15) /2
    =  ( 5 + 3 + 4)/60 x 2
    =  12/60 x 2
    = 1/2 x 5
    1/10
    Then, A B & C can do  complete the work = 10 days.
    Hence, the answer is (3) 10 days.

    Anurag Mishra Professor Answered on 4th August 2015.
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