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X takes 4 days to complete one-third of a job Y...

This question belongs to Arithmetic Ability Time And Work
Time and Work
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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.

Answer & Solution
Correct Answer: Option C
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 days
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1 Comment
Md Ibrahim
Md Ibrahim 8 years ago
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
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