Time and Work

Time is of the essence in CAT, and mastering Time and Work is your key to success. At Quantifiers, we specialize in equipping you with the essential time management skills you need to tackle CAT’s complex quantitative scenarios. Join us, and let’s turn you into a time management maestro, perfectly prepared for CAT’s time-sensitive challenges.

Understanding Time and Work

Time and Work is all about finding the most efficient way to get the job done. In the CAT exam, this concept tests your ability to tackle complex work scenarios, from “A can finish a task in 8 hours, while B can do it in 6” to more intricate multi-worker setups. You’ll need to balance your time and workforce effectively. So, gear up for questions that require some smart time management and teamwork.

Let’s draw a link between time and work, and the CAT exam. The Quantitative Aptitude section heavily relies on time and work, which is why it’s essential:

  1. Efficiency Testing: CAT often presents scenarios where you need to evaluate the efficiency of individuals or machines working together or independently. Understanding time and work concepts is crucial for tackling these questions.

  2. Time Management: Solving Time and Work problems hones your ability to manage time effectively. CAT is a time-bound exam, and these problems help you develop strategies to solve questions quickly and accurately.

  3. Complex Scenarios: CAT doesn’t stick to basic problems. It throws complex situations at you, involving varied work rates and conditions. Mastering Time and Work prepares you to handle intricate problem-solving.

  4. Applications in Other Topics: The principles of Time and Work extend to other quantitative areas, such as speed, distance, and pipe and cistern problems. So, mastering this topic is like building a strong foundation for various other CAT concepts.

Cracking CAT requires more than just textbooks; it demands the art of efficient time management. At Quantifiers, we specialize in Time and Work, ensuring you conquer the clock and work together seamlessly.

Our expert faculty breaks down complex scenarios, so you’re fully prepared for CAT’s intricate problems. Join us to develop your time management skills and ace this vital part of Quantitative Aptitude.

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Practice Questions for CAT with Solutions

1. CAT - Time & Work

A and B work together, they take half a day more than what A, B and C together would take to complete the same work. If B and C work together the number of days they take is 200% more than what A, B and C would take. All three worked together from start to finish and B earned Rs.400 as his share out of the total earnings of Rs.1800. In how many days did A, B and C together complete the work?

1. 4

2. 6

3. 8

4. 18

Correct Answer

  1. 4

2. CAT - Time & Work

1 man and 3 women and 4 boys can do a work in 96 hours. 2 men and 8 boys can do that work in 80 hours. 2 men and 3 women can do that work in 120 hours. Then how many hours will 5 men and 12 boys take to complete the work.

Correct Answer

480/11 hours

3. CAT - Time & Work

P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q. If in this project, P alone works for 60 days and then Q alone works for 125 days, then in how many days can R alone complete the remaining work?

Correct Answer

75 Days

4. CAT - Time & Work

Work done by A, B, C and D is in arithmetic progression. C worked for 9 days and completed 30% work. A and B worked for 2 days and 3 days only. Find for how many days ‘D’ work to complete the remaining work if all four together can complete that work in 4 days

Correct Answer

4 Days

5. CAT - Time & Work

The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is (CAT – 2021)

1. 7 : 3

2. 11 : 7

3. 11 : 3

4. 3 : 2

Correct Answer

3. 11 : 3

6. CAT - Time & Work

Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is: (CAT – 2021)

1. 6

2. 7

3. 8

4. 5

Correct Answer

2. 7

7. CAT - Time & Work

Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in 1 year, Akbar and Anthony can complete in 16 months, Anthony and Amar can complete in 2 years. If the person who is neither the fastest nor the slowest works alone, the time in months he will take to complete the project is: (CAT – 2021)

Correct Answer

32 months 

8. CAT - Time & Work

Two pipes A and B are attached to an empty water tank. Pipe A fills the tank while pipe B drains it. If pipe A is opened at 2 pm and pipe B is opened at 3 pm, then the tank becomes full at 10 pm. Instead, if pipe A is opened at 2 pm and pipe B is opened at 4 pm, then the tank becomes full at 6 pm. If pipe B is not opened at all, then the time, in minutes, taken to fill the tank is : (CAT – 2021)

1. 264

2. 144

3. 140

4. 120

Correct Answer

2. 144

9. CAT - Time & Work

Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they are paid a total of Rs. 21000 for the job, then the share of Charu, in INR, proportionate to the work done by him, is (CAT – 2021)

1. 9100

2. 9150

3. 9000

4. 9200

Correct Answer


10. CAT - Time & Work

One day, Rahul started a work at 9 AM and Gautam joined him two hours later. They then worked together and completed the work at 5 PM the same day. If both had started at 9 AM and worked together, the work would have been completed 30 minutes earlier. Working alone, the time Rahul would have taken, in hours, to complete the work is (CAT – 2021)

1. 12

2. 10

3. 11.5

4. 12.5

Correct Answer

2. 10

11. CAT - Time & Work

Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for ₹ 24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is:

Correct Answer


12. CAT - Time & Work

A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?

Correct Answer


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