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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.

Correct Answer: 5.1 days
X completes $$\frac{1}{3}$$ rd in 4 days = 33.33% job in 4 daysX One day work = 8.33%Y one day work = 5.55% 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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