X takes 4 days to complete one-third of a job. Y takes 3 days to complete one-sixth of the job and Z takes 5 days to complete half the job. If all of them work together for 3 days and X and Z quit, how long will it take for Y to complete the remaining work done.
A. 6 days
B. 8.1 days
C. 5.1 days
D. 7 days
E. None of these
Answer: Option C
Solution (By Examveda Team)
X completes $$\frac{1}{3}$$ rd in 4 days = 33.33% job in 4 days X One day work = 8.33% Y one day work = 5.55% [As he complete $$\frac{1}{6}$$ job = 16.66% job in 3 days] Z one day work = 10% Work done in 3 days by X, Y and Z = 25 + 16.66 + 30 = 71.66% Remaining work will be done by Y in, $$\frac{{28.33}}{{5.55}}$$ = 5.1 daysThis Question Belongs to Arithmetic Ability >> Time And Work
X=1/3---4=12
Y=1/6----3=18
Z=1/2-----5=10days
1/12+1/18+1/10=43/60
Remaining 1-43/60=17/60
1/18----1days
17/60----18*17/60=5.1 days