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John takes twice as much time as Jack to finish - Quantitative Aptitude - CAT Time and Work

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The question below is from previous year CAT question from CAT 2020 exam comes from CAT Time and Work : Q.22. John takes twice as much time as Jack to finish. In how many days will Jim finish the job working alone ?

Find out by answering this question which tests an aspirant’s Quantitative Ability Skills

CAT 2020 - Slot 2 - Quantitative Aptitude - Time and Work - Question 22 - John takes twice as much time as Jack to finish

Q. 22: John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?

Correct Answer: 4

John = x units/day

Jack = 2x units/day

Jim = x units/day (1/3rd of John does = 3x units, out of which jack does 2x)

Total = 4x units/day

John’s time taken = x(n+3) = 4x × n

Then n = 1 day for 4x units

For x units, Jim will take 4 days

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