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Time & Work CAT Previous Year Questions with Answer PDF

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Question for CAT Previous Year Questions: Time & Work
Try yourself: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    [2021]
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Question for CAT Previous Year Questions: Time & Work
Try yourself: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    [2021]
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Question for CAT Previous Year Questions: Time & Work
Try yourself: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 ₹ 21000 for the job, then the share of Charu, in INR, proportionate to the work done by him, is    [2021]
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Question for CAT Previous Year Questions: Time & Work
Try yourself: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    [2021]
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Question for CAT Previous Year Questions: Time & Work
Try yourself: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   [2021]
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Question for CAT Previous Year Questions: Time & Work
Try yourself:At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency?

[2019]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job, If Bimal has done 10% of the job, then in how many days was the job done?

[2019]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate, and all draining pipes drain at the same rate. The empty tank gets completely filled in 6 hours when 6 filling and 5 draining pipes are on, but this time becomes 60 hours when 5 filling and 6 draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on?

[2018]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:Humans and robots can both perform a job but at different efficiencies. Fifteen humans and five robots working together take thirty days to finish the job, whereas five humans and fifteen robots working together take sixty days to finish it. How many days will fifteen humans working together (without any robot) take to finish it?

[2018]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:When they work alone, B needs 25% more time to finish a job than A does. The two finish the job in 13 days in the following manner : A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?

[2018]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:A tank is emptied everyday at a fixed time point, Immediately thereafter, either pump A or pump B or both start working until the tank is full. On Monday, A alone completed filling the tank at 8 pm. On Tuesday, B alone completed filling the tank at 6 pm. On Wednesday, A alone worked till 5 pm, and then B worked alone from 5 pm to 7 pm, to fill the tank. At what time was the tank filled on Thursday if both pumps were used simultaneously all along?

[2018]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:A water tank has inlets of two types A and B. All inlets of type A when open, bring in water at the same rate. All inlets of type B, when open, bring in water at the same rate. The empty tank is completely filled in 30 minutes if 10 inlets of type A and 45 inlets of type B are open, and in 1 hour if 8 inlets of type A and 18 inlets of type B are open. In how many minutes will the empty tank get completely filled if 7 inlets of type A and 27 inlets of type B are open?

[2018]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?

[2018]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days. On Day 3, they are joined by another person of equal efficiency. Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job?

[2017]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed, then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open, then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open, then in how many hours the full tank becomes half-full?

[2017]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs. 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamal's share, in rupees, is

[2017]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days. On Day 3, they are joined by another person of equal efficiency. Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job?

[2017]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:Four two-way pipes, A,B,C and D can either fill an empty tank or drain the full tank in 4, 10, 12 and 20 minutes, respectively. All four pipes were opened simultaneously when the tank is empty. Under which of the following conditions, the tank would be half filled after 30 minutes?

[2017]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:A water tank has M inlet pipes and N outlet pipes. An inlet pipe can fill the tank in 8 hours while an outlet pipe can empty the full tank in 12 hours. If all pipes are left open simultaneously, it takes 6 hours to fill the empty tank. What is the relationship between M and N?

[2016]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:In the marketing management course of an MBA programme, you and your roommate can complete an assignment in 30 days. If you are twice as efficient as your roommate, the time required by each to complete the assignment individually is

[2016]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:Three pipes are connected to an inverted cone, with its base at the top. Two inlet pipes, A and B, are connected to the top of the cone and can fill the empty cone in 8 hours and 12 hours, respectively. The outlet pipe C, connected to the bottom, can empty a filled cone in 4 hours. When the cone is completely filled with water, all three pipes are opened. Two of the three pipes remain open for 20 hours continuously and the third pipe remains open for a lesser time. As a result, the height of the water inside the cone comes down to 50%. Which of the following options would be possible?

[2015]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:A tank is connected with both inlet pipes and outlet pipes. Individually, an inlet pipe can fill the tank in 7 hours and an outlet pipe can empty it in 5 hours. If all the pipes are kept open, it takes exactly 7 hours for a completely filled-in tank to empty. If the total number of pipes connected to the tank is 11, how many of these are inlet pipes?

[2015]

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Question for CAT Previous Year Questions: Time & Work
Try yourself:Three carpenters P,Q and R are entrusted with office furniture work. P can do a job in 42 days. If Q is 26% more efficient than P, and R is 50% more efficient than Q, then Q and R together can finish the job in approximately:

[2015]

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The document Time & Work CAT Previous Year Questions with Answer PDF is a part of the CAT Course Quantitative Aptitude (Quant).
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FAQs on Time & Work CAT Previous Year Questions with Answer PDF

1. What is the formula to calculate work in the context of time and work problems?
Ans. The formula to calculate work is work = rate x time. It represents the amount of work done by a person or a group of people in a given time period.
2. How can we calculate the total time taken by multiple people working together on a task?
Ans. To calculate the total time taken by multiple people working together on a task, we can use the formula: 1/(total rate) = 1/time1 + 1/time2 + 1/time3 + ..., where time1, time2, time3, etc., represent the individual times taken by each person.
3. Can you explain the concept of efficiency in time and work problems?
Ans. Efficiency in time and work problems refers to the rate at which a person or a group of people can complete a task. It is calculated as the ratio of work done to the time taken. Higher efficiency means completing the task in less time.
4. How can we calculate the number of days required to complete a task if the work done per day is given?
Ans. To calculate the number of days required to complete a task when the work done per day is given, we can use the formula: time = total work / work done per day. It gives us the number of days needed to finish the task based on the work done each day.
5. Can you explain the concept of work done by a person in one day in time and work problems?
Ans. The work done by a person in one day represents the amount of work that can be completed by an individual in a single day. It is calculated by dividing the total work by the number of days required to complete the task. This value is often used to determine the rate at which work is done or the efficiency of a person in time and work problems.
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