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CAT Time and Work PYQs with Video Solutions Download PDF

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Oct 14, 2026

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CAT Time and Work PYQs with Video Solutions Download PDF

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.

Download CAT Time and Work PYQs PDF

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 2023–2025

Multiple workers, team productivity and changing work conditions

Individual efficiency, combined rates

CAT 2020–2022

Work completion and productivity-based reasoning

Work-rate equations, LCM method

CAT 2017–2019

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.

Download CAT Time and Work Formulas PDF

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

5–8 questions daily

Work rates and basic formulas

Accuracy Building

8–10 questions daily

Efficiency ratios and combined work

Advanced Practice

10–12 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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