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CAT 2020 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Quants Questions | Question 22

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Question 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?

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Explanatory Answer

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

The answer is, " 4"

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