A can do work in 36 days. B can do the work in 72 days and c can do work in 78 days. the three take turns working.i.e A works on the 1st day. B works on the 2nd day, C on the 3rd day and so on. which day will they finish the work?
1) 55th day
2) 54th day
3) 17th day
4) 19th day

• [1/36+1/72+1/78]=3 days work by a,b,c
  so total=55
• 12 years agoHelpfull: Yes(5) No(1)
• work of A in one day = 1/36
  work of B in one day = 1/72
  work of C in one day = 1/78
  so total work of A& B &C in 3 day = 1/36+1/72 + 1/78
  = (78 + 39 + 36)/2808
  = 153/2808
  so total wok will finish in =3 x2808/153 days
  = 55th day------ans
• 12 years agoHelpfull: Yes(4) No(1)
• 55th day is the right answer
  ...total work in 3 days = (1/36 + 1/72 + 1/78) now
  let divide 54 in three parts means each get 18 days ..
  in 18 days A do 1/2 work ,
  in 18 days B do 1/4 work ,
  in 18 days C do 18/78 work..
  so total work done on ending of 54 day will be (1/2+1/4+18/78)= 0.98 ...
  so on 55th day when there is a turn of A whole work finished...
• 12 years agoHelpfull: Yes(3) No(0)
• in one day A work === 1/36
  in one day B work ===1/72
  in one day C worrk ===1/78
  in 6/36 + 6/72 + 6/78 ==1/12 + 1/12 + 1/13 == 51 /156 in 18 day
  for doing full work == 18 * 156/51 == 54
• 12 years agoHelpfull: Yes(1) No(5)
• [1/36+1/72+1/78]=3 days work by a,b,c
  18.35*3=55.05
  so 55 is the answer
• 9 years agoHelpfull: Yes(0) No(0)