X,Y and Z take 12,18 and 10 days respectively to complete a job. X,Y and Z together work for 3 days and then X and Z leave the work. The rest of the work is finished by Y only. How many days does Y take to finish the remaining work?

• Work done by X in 1 day= 1/12
  Work done by Y in 1 day= 1/18
  Work done by Z in 1 day= 1/10
  Work done by (X+Y+Z) in 1 day= 1/12+ 1/18+ 1/10= 43/180
  Work done by (X+Y+Z) in 3 days=43*3/180= 43/60
  Remaining work= 1-(43/60)= 17/60
  This work is done by Y alone
  therefore no.of days taken by Y to complete 17/60= (17/60)*18= 51/10 days= 5.1days
• 11 years agoHelpfull: Yes(34) No(0)
• one day work of x,y,z is (1/12),(1/18),(1/10) respectively
  one day work if all work together = (1/12)+(1/18)+(1/10)=(43/180)
  3 day work of all when working together = 43/60
  remaining work=(17/60)
  1 work is done by y in days = 18
  17/60 is done in = 5.1 days
  
  ans = 5.1 days
• 11 years agoHelpfull: Yes(14) No(0)
• Work done by X in 1 day= 1/12
  Work done by Y in 1 day= 1/18
  Work done by Z in 1 day= 1/10
  Work done by (X+Y+Z) in 1 day= 1/12+ 1/18+ 1/10= 43/180
  Work done by (X+Y+Z) in 3 days=43*3/180= 43/60
  Remaining work= 1-(43/60)= 17/60
  This work is done by Y alone 17/60= (17/60)*18= 51/10
  so as there are no 5.1 days
  y take 6 days to finish work
• 11 years agoHelpfull: Yes(5) No(0)
• first we have to take lcm of 12,18,10...we 180
  so x will do 15 parts of work per day(i.e)12*15.
  y will do 10 parts of work per day
  z will do 18 parts of work per day
  then xyz are working together for 3 days
  then x=3*15=45
  y=2*10=30
  z=18*3=54
  total=129
  so 129 parts will be finished in 3 days,remaining part=180-129=71
  x,z leaves
  for 71 days y needs 7.1 days to complete the remaining work.
• 11 years agoHelpfull: Yes(2) No(19)
• Work done by X in 1 day= 1/12
  Work done by Y in 1 day= 1/18
  Work done by Z in 1 day= 1/10
  Work done by (X+Y+Z) in 1 day= 1/12+ 1/18+ 1/10= 43/180
  Work done by (X+Y+Z) in 3 days=43*3/180= 43/60
  Remaining work= 1-(43/60)= 17/60
  This work is done by Y alone
  therefore no.of days taken by Y to complete 17/60= (17/60)*18= 51/10 days= 5.1days
• 11 years agoHelpfull: Yes(0) No(0)
• work done in 3 day=3*(1/12+1/18+1/10)=43/60
  now remaing work 1-43/60=17/60
  now for y 1 day work is 1/18 so that 17/60 work should be done
  17/60*18=51/10
  so that y take 5.1 more day to complette work
• 10 years agoHelpfull: Yes(0) No(0)