CAT Time and Work PYQs with Solutions for CAT 2026
Time and Work is an important topic in the Arithmetic section of CAT Quantitative Aptitude. Questions from this topic test your understanding of work efficiency, time taken to complete tasks, combined work and the relationship between workers and productivity. Practising CAT Time and Work PYQs with solutions helps aspirants understand the actual difficulty level and different approaches used in previous CAT exams.
Unlike basic Time and Work problems that involve direct formula application, CAT previous year questions often combine multiple conditions, changing efficiencies and workers joining or leaving a task midway. Solving these questions requires a clear understanding of concepts and the ability to organise information correctly.
For students preparing for CAT 2026, practising CAT Time and Work previous year questions is an effective way to improve problem-solving speed, calculation accuracy and confidence in Arithmetic.
CAT Time and Work Previous Year Questions PDF Download
Practising CAT Time and Work previous year questions PDF helps aspirants revise important concepts and understand how work and efficiency-based problems have appeared in actual CAT papers.
Students can also solve CAT previous year papers to understand how Time and Work questions appear alongside other Quantitative Aptitude topics. Reviewing detailed solutions is useful for learning efficient methods rather than relying on lengthy calculations.
CAT Time and Work PYQs: Year-Wise Analysis
Analysing CAT Time and Work previous year questions helps students understand the types of problems asked, the concepts involved and the level of reasoning required.
Although Time and Work does not have a fixed number of questions every year, it remains a relevant part of CAT Arithmetic preparation.
CAT PYQ Period | Common Question Patterns | Concepts to Focus On |
CAT 2023β2025 | Multiple workers, team productivity and changing work conditions | Individual efficiency, combined rates |
CAT 2020β2022 | Work completion and productivity-based reasoning | Work-rate equations, LCM method |
CAT 2017β2019 | Workers completing tasks together or separately | Efficiency ratios, total work |
Older CAT Papers | Work sharing, completion time and worker allocation | Basic work-rate relationships |
The important observation is that CAT Time and Work PYQs frequently require students to translate verbal conditions into mathematical relationships.
For example, a question may describe three teams working at different rates, with some workers leaving midway. Rather than applying a single formula, students must calculate how much work is completed during each stage.
Therefore, while practising CAT Quantitative Aptitude questions, students should focus on understanding efficiency relationships and selecting the most convenient solving method.
Also Read:Β CAT Quants PYQ Analysis 2026, Difficulty, Repeated Topics
Most Important CAT Time and Work PYQ Question Types
CAT Time and Work previous year questions generally involve a few important concepts. Understanding these question types helps aspirants identify the correct approach before starting calculations.
Time and Work Question Type | Important Concept | Recommended Approach |
Individual Work | Work completed by one person | Use the work-rate formula |
Combined Work | Two or more people working together | Add individual work rates |
Efficiency-Based Questions | Comparing productivity | Use efficiency ratios |
Alternate-Day Work | Workers operating on different days | Calculate work completed per cycle |
Workers Joining or Leaving | Changes in workforce midway | Divide the problem into stages |
Men-Days-Work | Relationship between workers and time | Apply proportional reasoning |
Pipes and Cisterns | Filling and emptying rates | Treat inlet and outlet rates separately |
Among these, combined work, efficiency ratios and workers joining or leaving midway are especially useful for CAT-level practice.
For example, if A completes a task in 12 days and B completes the same task in 18 days, their combined work rate is:
1/12+1/18=5/36
Therefore, the time required when both work together is:
36/5=7.2days
While this is a straightforward example, actual CAT PYQs may include additional conditions involving different working hours or changing team sizes.
Also Read: 100+ Most Important CAT Arithmetic Questions For CAT 2026
Important Time and Work Formulas for CAT
A strong understanding of the basic formulas makes CAT Time and Work questions easier to solve. Rather than memorising several shortcuts, students should understand the relationship between work, efficiency and time.
Concept | Important Formula |
Basic Work Formula | Work = Efficiency Γ Time |
Work Rate | Work Rate = Total Work / Time |
Time Required | Time = Total Work / Efficiency |
Combined Work Rate | 1/A+1/B |
Time Taken Together | AB/(A+B) |
Efficiency Ratio | Efficiency of A : B = Time of B : A |
Men-Days Relationship | Workers Γ Days Γ Individual Daily Efficiency = Total Work |
The formula AB/(A+B) applies when A and B individually complete the same task in A and B time units, respectively, and both work simultaneously at constant rates.
The LCM method is particularly useful when different workers complete a task in different numbers of days.
For example, if A and B finish a task in 12 and 18 days, assume the total work is 36 units.
A completes 3 units per day, while B completes 2 units per day. Together, they complete 5 units daily, requiring 36/5 days.
This approach avoids repeated fraction calculations and can save time in CAT Quant.
Also Read:Β CAT 2026 Quant Important Topics: Check Topic-Wise Weightage
How to Solve CAT Time and Work PYQs?
Solving CAT Time and Work previous year questions requires conceptual clarity and effective calculation techniques. The following approach can help students solve questions more efficiently.
Identify the total work
Understand whether the question involves a single task, multiple tasks or different stages of completion. If convenient, assume the total work as the LCM of the given completion times.
Calculate individual efficiencies
Convert the time taken by each worker into a work rate. Remember that higher efficiency means less time to complete the same task.
Divide complex questions into stages
If workers join, leave or change their working hours, calculate the work completed during each stage separately.
Use ratios instead of lengthy equations
When the question provides relative efficiencies, use ratios to simplify calculations before forming equations.
Verify the final answer
Check whether the calculated time or remaining work is consistent with the conditions provided.
A common mistake in CAT Time and Work questions is adding the number of days taken by individual workers instead of adding their work rates. Remember that the combined rate determines how quickly the task is completed.
Also Read:Β CAT Quant Cheat Sheet 2026: Important PYQs, Formulas PDF
How to Practise CAT Time and Work PYQs for CAT 2026?
A structured practice approach helps students improve their accuracy and calculation speed in CAT Time and Work questions. Instead of solving random problems, students should gradually move from basic concepts to complex previous year questions.
Preparation Stage | Suggested Practice Target | Main Focus |
Concept Building | 5β8 questions daily | Work rates and basic formulas |
Accuracy Building | 8β10 questions daily | Efficiency ratios and combined work |
Advanced Practice | 10β12 mixed questions | Changing work conditions and multi-step problems |
Mock Test Stage | Topic revision and full QA sectionals | Speed, accuracy and question selection |
These targets are suggestions and can be adjusted according to preparation level and available time.
Start with older CAT Time and Work PYQs and gradually move towards recent exam questions. During initial practice, focus on understanding the method rather than completing every question within a strict time limit.
Students should also attempt CAT mock tests regularly to assess their overall Quant performance. If Time and Work questions consistently take too long, revisit efficiency ratios and the LCM method before increasing practice volume.
Timed CAT sectional tests are useful for learning when to attempt a Time and Work question and when to move on.
Maintain a mistake log containing the question type, time taken, calculation errors and the correct approach. Reviewing these mistakes will help you identify recurring weaknesses before CAT 2026.
CAT Time and Work PYQ Questions
Practising CAT Time and Work PYQ questions is one of the best ways to understand the reasoning and calculation techniques required in the actual CAT exam. These previous year questions cover important concepts such as work efficiency, combined work, productivity ratios, workers joining or leaving and time taken to complete tasks.
Below are some important CAT Time and Work previous year questions with detailed solutions. Try solving each question independently before checking the explanation. Focus on identifying the correct work-rate relationships, choosing efficient calculation methods and avoiding unnecessary steps. This will help improve your accuracy and speed for CAT 2026.
CAT Time and Work PYQs with Solutions: Conclusion
Practising CAT Time and Work PYQs with solutions is an important part of CAT 2026 Quantitative Aptitude preparation. Previous year questions help aspirants understand actual exam-level difficulty, important work-efficiency concepts and the different approaches required to solve questions accurately. Regular practice also improves calculation speed and confidence when handling complicated work-rate problems.
For effective preparation, combine CAT Time and Work previous year questions PDF practice with formula revision, timed tests and CATΒ mock analysis. Focus on understanding efficiency relationships, reducing unnecessary calculations and recognising the most suitable method for each question. Consistent practice and careful analysis can help improve your performance in CAT Arithmetic.
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