CAT 2020 Time and Work — Previous Year Question
Year
CAT 2020
Section
Quantitative
Topic
Time and Work
Difficulty
Hard
Question
Slot-1
X, Y, and Z are three software experts, who work on upgrading the software in a number of identical systems. X takes a day off after every 3 days of work, Y takes a day off after every 4 days of work and Z takes a day off after every 5 days of work.
Starting afresh after a common day off,
i) X and Y working together can complete one new upgrade job in 6 days
ii) Z and X working together can complete two new upgrade jobs in 8 days
iii) Y and Z working together can complete three new upgrade jobs in 12 days.
If X, Y and Z together start afresh on a new upgrade job (after a common day off), exactly how many days will be required to complete this job?
3 days
4 days
2 days
3.5 days
2.5 days
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