A can do a piece of work in 36 days, B in 54 days and C in 72 days. All of them began together but A left 8 days and B left 12 days before the completion of the work. How many days in all did C put in till the entire work was
finished?
A. 48 days B. 24 days C. 12 days D. None

• Let the total no of days for completing the work = x
  so according to the given condition
  (x-8)(1/36) + (x-12)(1/54) + x(1/72) = 1
  on solving we will get x = 24
• 13 years agoHelpfull: Yes(52) No(8)
• one day work done by a=1/36
  one day work done by b=1/54
  one day work done by c=1/72
  one day work done by a+b+c=13/216
  work done by a+b+c for 8 days=13/27
  remaining work=1-13/27=14/27
  work done by b+c for next 4 days=2/27+1/18=7/54
  remaining work=14/27-7/54=7/18
  remaining work done by alone c=7/18*72=28
  total no. of days c has to work=28+4+8=40.
  Answer= D.none of these
• 9 years agoHelpfull: Yes(0) No(15)
• x=24
  https://www.examveda.com/a-can-complete-a-piece-of-work-in-36-days-b-in-54-days-and-c-in-72-days-all-the-three-began-the-work-the-work-together-but-a-493/
• 5 years agoHelpfull: Yes(0) No(0)