CAT 2019 Question Paper | Quants Slot 1

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The importance that Arithmetic occupies in the CAT syllabus cannot be stressed enough. Here is another question from Time and Work. With good CAT Preparation, these arithmetic questions are easy pickings. The speed and accuracy with which these arithmetic questions are solved gives the edge to aspirants who are well prepared. Try solving this question. If you are unable to solve, ensure you spend enough time in your CAT Preparation journey on arithmetic topics. CAT previous year paperquestion are a good place to start.

Question 30 : Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days? [TITA]

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Video Explanation

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Explanatory Answer

Let Machines be referred as R and men be referred as M
It is given that, three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job.
From the given data,
3M + 8R = 2 x (3R + 8M)
2R = 13M
R = M
Therefore, if two machines can finish a job in 13 days, 2 Robos can finish the job in 13 days.

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The question is "Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days? [TITA] "

Hence, the answer is 13