Table of content:
- Step 1: The Groundwork
- Step 2: The Three Sections
- Step 3: Practice Makes Improvement
- The Secret Ingredient
Table of content:
- Understanding Basics Of Number Series
- Types Of Number Series Reasoning Questions
- Addition & Multiplication In Number Series
- Square & Cube-Based Number Series Patterns
- Missing Terms & Arranging Sequences
- Tricks & Tips For Solving Number Series
- Selected Sample Questions With Detailed Solutions
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Terminologies Used in Blood Relation Questions
- What is a Family Tree?
- Types Of Blood Relation Questions
- Verbal Reasoning in Blood Relation
- Tips For Solving Blood Relation Questions
- Common Pitfalls while Solving Questions
- Selected Questions (MCQs) For Practice With Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Letter Series In Logical Reasoning
- Types Of Letter Series Patterns
- Tips For Solving Letter Series Reasoning
- Best Practice Question Samples With Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Basics of Problems On Age-Related Questions
- Formula to Solve Problems on Ages-Related Questions
- Types of Age-Related Questions & Examples
- Tips & Tricks for Solving Ages Problems
- Best MCQs on Problems on ages with solved answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Definition of Calendar
- Understanding Days of the Week
- Understanding the Concept of Leap Year
- Concept of Odd Days in a Century
- Tips For Calendar Reasoning Questions
- Top 10 Calendar Questions & Answers For Practice (MCQs)
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Basic Concepts of Clock
- Structure of a Clock
- Angle Equilavalence in Clock
- Tips For Solving Clock Questions
- Selected Clock Questions & Answers (MCQs)
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Understanding The Concept Of Direction Sense
- Tips For Effective Problem-Solving In Direction Sense
- Practical Test Practice Questions And Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Importance Of Dice Reasoning
- Dice Numbers In Dice Reasoning
- Classification Of Dice
- Constructed Vs Deconstructed Dice
- Tricks & Tips For Solving Dice Problems
- Practice MCQs With Detailed Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Alphanumeric Series Defined
- Alphanumeric Series In Reasoning Tests
- Tips & Strategies For Solving Alphanumeric Series
- Practice Sample Questions With Detailed Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Concept Of Mirror Image Reasoning Explained
- Important Terms In Mirror Image Reasoning
- Types Of Mirror Images
- Identifying Correct Mirror Image
- Finding Clock's Mirror Image
- Tips To Solve Mirror Images
- Selected Practice Questions With Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Concept & Overview Of Input-Output
- Input-Output In Competitive Exams
- Types Of Input-Output Problems
- Strategies, Tips & Tricks For Solving Reasoning Questions
- Selected Practice Questions With Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Importance Of Finding The Odd One Out
- Tricks And Tips
- Strategies For Finding The Odd One Out
- Selected Practice Questions & Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Understanding Key Concepts
- Exploring Different Ranking Types
- Formula And Application Of Order And Ranking
- Tips For Solving Order & Ranking
- Selected Practice Questions And Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Importance Of Pipes & Cistern Aptitude
- Key Terminologies used in Pipes and Cisterns
- Pipes and Cisterns Formula with Examples
- Pipes and Cisterns Shortcut Tricks
- Tips For Solving Pipes & Cistern Problems
- Selected Questions & Answers For Practice (MCQs)
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Key Concept in Boats and Streams
- Formulas Of Boats & Streams
- Distance & Time Formula
- Tips For Solving Boats & Streams Questions
- Selected Practice Questions With Answers (MCQs)
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Concept of Mixture and Alligation
- Types Of Alligation Questions
- Formula for Solving Mixture & Alligation
- Tips For Solving Mixture And Alligation
- Selected Questions With Answers For Practice
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Time & Work Concepts
- Time And Work Formulas
- Tips For Solving Time And Work Questions
- Time And Work Questions With Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- What is Harmonic Progression(HP)?
- Formula to find the nth Term in Harmonic Progression
- Formula to find the Sum of the nth Term in HP
- What is Harmonic Mean?
- Harmonic Progression Solved Best MCQs
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- What is Mensuration in Maths?
- What are 2D figures in Mensuration?
- What are 3D figures in Mensuartion?
- Basic Terminologies In Mensuration
- Basic 2D Formulas in Mensuration
- Basic 3D Formulas in Mensuration
- 2D vs 3D in Mensuration
- Solved Questions With Solutions (MCQs)
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Relationship Between Time, Speed And Distance
- Conversion Units Time, Speed And Distance
- Average & Relative Speed: Two Trains Moving in the same or opposite direction
- Solved MCQs on Time, Speed And Distance
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Basics Of Simplification
- BODMAS Rule in Simplification Explained
- Simplification & Approximation Relation
- Key Terms in Simplification
- Examples Of Simplification Techniques
- Simplification Questions With Solved Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Height And Distance Important Terms
- Right Angled Triangle In Trigonometry
- Trigonometric Ratios
- Solved Examples For Better Understanding
- Height And Distance Applications In Trigonometry
- Height And Distance Practice Questions & Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Defining Interest Types
- Simple Interest Vs. Compound Interest
- Selected Solved Questions & Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Basic Concepts Of Profit And Loss
- Determining Selling Price
- Calculating Discounts
- Formulas For Calculating Profit And Loss
- Examples Of Profit And Loss
- Profit & Loss Questions With Detailed Solution
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Defining Angle Of Elevation
- Key Terms Used In Angle Of Elevation
- Angle of Elevation Formula with Example
- Angle of Elevation vs. Angle of Depression
- Angle of Elevation MCQs with Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Defining HCF And LCM
- Calculation Methods Of HCF And LCM
- HCF By Prime Factorization Method
- LCM By Prime Factorization Method
- Difference Between HCF And LCM
- HCF & LCM Practice Questions With Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- What is fraction and decimal?
- Understanding Decimal Fraction
- Place Value in Decimal Fraction
- Mathematical Operations with Decimal Fraction
- Practice with Solved Examples
- Summary
- Frequently Asked Questions
Table of content:
- All About Decimals
- All About Fractions
- How to Convert a Decimal into Fraction
- Simple vs Recurring Decimals
- Converting Recurring Decimals to Fractions
- Conversion Charts
- Practice Questions (With Solutions)
- Closing Thoughts
- Frequently Asked Questions
Table of content:
- What is Arithmetic Mean?
- Arithmetic Mean Formula- Ungroup Data & Group Data
- Merits of Arithmetic Mean
- Demerits of Arithmetic Mean
- Alternatives to Arithmetic Mean
- What is the Weighted Arithmetic Mean?
- Arithmetic vs. Geometric Mean
- Arithmetic Mean Application in Statistical Analysis
- Arithmetic Mean Practice Questions with Explanation
- Frequently Asked Questions
Table of content:
- What is Geometric Progression?
- Key Properties of Geometric Progression
- General Form Of Geometric Progression
- General Term or the Nth Term of Geometric Progression
- The sum of nth Terms of GP
- Types Of Geometric Progression
- Solved Questions and Answers of GP
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Average in Maths
- Average Formula in Maths
- Differentiating Types of Average
- How to Calculate Average of Negative Numbers?
- Practical Applications of Averages
- Average Questions For Practice
- Frequently Asked Questions
Table of content:
- What is Simple Interest in Maths?
- Simple Interest Formula Explained
- Simple Interest Formula for Years, Months & Days
- Simple Interest Examples & Practice Questions
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Defining Mathematical Ratios
- Understanding Proportions Fundamentals
- Differentiating Ratios from Proportions
- Ratio and Proportion Formulas
- Properties of Ratio and Proportion
- How to Solve Ratio and Proportion Problems
- Ratio and Proportion Problems (With Solutions)
- Summary
- Frequently Asked Questions
Table of content:
- What is Number in Maths?
- Types of Numbers With Example
- Real vs Complex Numbers Explored
- Basic Operations on Numbers
- Practice Questions (With Solutions)
- Frequently Asked Questions
Table of content:
- What is Arithmetic Progression (AP) in Maths?
- Important Terminologies in Arithmetic Progression
- Basic Terms in Arithmetic Progression
- General Form Of Arithmetic Progression Series
- Types Of Arithmetic Progression
- Solved Questions With Explanation (MCQs)
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Understanding Basic Concept
- Importance Of Train Problems In Aptitude
- Tips To Solve Train Problems
- Selected Practice Questions & Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Definition Of Mode
- Calculating Mode For Ungrouped Data
- Calculating Mode For Grouped Data
- Bimodal, Trimodal & Multimodal Distributions
- Comparing Mean, Median & Mode
- Selected Practice Questions With Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Important Concept In Races And Games
- Calculating Time, Speed & Distance
- Importance Of Races And Games Problems
- Sample Practice Questions With Answers
- Conclusion
- Frequently Asked Questions (FAQs)
Table of content:
- Types Of Partnership
- Formula For Partnership Questions
- Tips To Solve Partnership Aptitude Questions
- Selected Partnership Questions (Practice MCQs)
- Conclusion
- Frequently Asked Questions (FAQs)
Time And Work- Formula & Aptitude Practice Question With Answer

Understanding the concept of time and work is crucial in quantitative aptitude. This topic deals with how efficiently tasks can be completed based on the amount of time and the number of workers involved.
By mastering the formulas and techniques related to time and work, individuals can solve complex problems and optimize productivity.
Time & Work Concepts
Time and work in the context of aptitude tests refer to the time a workman takes to complete a specific task or project. It involves calculating how long it would take for one or more individuals working together to finish a job.
Relationship Between Time, Work & Efficiency
The relationship between time, work, and efficiency is crucial in solving problems related to this concept. Efficiency indicates how much work can be done in a unit of time, influencing the overall completion time of a task.
Time And Work Formulas
Let us study some of the important formulas in time and work:
Work Efficiency
Work efficiency is calculated as total work divided by the total time taken to complete the work. It is denoted by the symbol:
E = Total Work / Total Time
Work Done
The amount of work done is calculated as the product of work efficiency and time taken. The formula for work done:
Work Done = Work Efficiency x Time Taken
Rate Of Work
The rate of work refers to the speed at which work is being completed. It is calculated as 1 / Time taken for one unit of work.
Rate of Work = 1 / Time Taken
For instance, if a machine can complete a job in 6 hours, its rate of work is 1/6 jobs per hour. If it takes 3 days for 5 workers to finish a project, their combined rate of work is 5/3 projects per day.
Tips For Solving Time And Work Questions
Provided below are some of the tips for solving questions related to time and work:
Setting Equations
When approaching time and work problems, setting up equations accurately is crucial. Begin by defining variables for unknown quantities and translating the problem into mathematical expressions.
Step-By-Step Approach
Follow a systematic approach when solving time and work questions. Divide the work into parts based on the number of individuals or machines involved. Calculate individual rates to determine combined rates later.
It is important to keep learning quantitative aptitude consistently for interviews and exams. Click here to enhance and upskill your quantitative aptitude and reasoning prowess right away!
Time And Work Questions With Answers
Provided below are some selected top questions with detailed answers related to time and work:
Question 1. A piece of work assigned to Binu and Vinu can be completed in 28 days. Their friend Manoj came, and they could finish it in 21 days. How long will it take for Manoj to finish the work alone?
(a) 84 days
(b) 80 days
(c) 75 days
(d) 70 days
Solution: a) 84 days
Explanation:
Binu + Vinu = 1/28
Binu + Vinu + Manoj = 1/21
Manoj = 1/21 – 1/28 = 1/84
Therefore, Manoj will take 84 days to do the work.
Question 2. Two friends, Ajay and Vijay together, can do a piece of work in 6 days. Ajay alone does it in 10 days. What time does Vijay require to do it alone?
(a) 20 days
(b) 15 days
(c) 25 days
(d) 30 days
Solution: b) 15 days
Explanation:
Given that Ajay and Vijay together can complete a work in 6 days. This means that their combined work rate is
Ajay + Vijay = 1/6, Ajay alone can complete the same work in 10 days. This implies that Ajay's work rate = 1/10. Need to find out Vijay's work rate by subtracting Ajay's work rate from the combined work rate of Ajay and Vijay:
V = 1/6 – 1/10 = 2/30 = 1/15
Vijay's work rate is 1/15.
Let’s find out how many days it would take for Vijay alone to complete the work. Vijay work rate is 1/15 of the work per day. Therefore, time taken by Vijay alone=1/15 =15.
Question 3. Abbot can do some work in 10 days, Bill can do it in 20 days, and Clinton can do it in 40 days. They start working in turns, with Abbot starting to work on the first day, followed by Bill on the second day, Clinton on the third day, and again by Abbot on the fourth day, and so on till the work is completed fully. Find the time taken to complete the work fully.
(a) 16 days
(b) 15 days
(c) 17 days
(d) 16.5 days
Solution: d) 16.5 days
Explanation:
The work rate would be 10% on the first day, 5% on the second day, and 2.5% on the third day. For every block of 3 days, 17.5% of the work would be done. In 15 days, the work completed would be 17.5 X 5 = 87.5%. On the 16 days, work done = 10%
2.5% of work would be left after 16 days. On the 17th day, the rate of work would be 5%, and hence, it would take half of the 17th day to complete the work. Thus, it would take 16.5 days to finish the work in this fashion.
Question 4. It takes x hours for a pipe to fill a tank, while another pipe can empty it in y hours. If the tank is 1/3rd full, then the number of hours in which they will together fill it in is
a) (3xy)2(y-x)
b) (3xy)(y-x)
c)(xy)3(y-x)
d) (2xy)3(y-x)
Solution: d) (2xy)3(y-x)
Explanation:
One can fill the tank in x hours, and the other can empty the tank in y hours. The rate of filling of the first pipe is 1/x tank per hour, and the rate of emptying of the second pipe is 1/y tank per hour.
Consider that the tank is already full 1/3, which means the remaining tank needs to be filled 2/3. The net rate of filling the tank is the sum of the rates of filling by the first pipe and emptying by the second pipe. Net rate of filling= (1/x) – (1/y)
We want to find the time it takes for the pipes to fill the remaining of the tank together. The work done by the pipes in T hours working together is equal to 2/3.
(1/x – 1/y).T = 2/3
T= 2/3 x (1/x-1/y)
T = 2/3 (xy)/(y - x)
T = 2 xy /3(y-x)
The number of hours in which the pipes together will fill the tank is T = 2 xy /3(y-x).
Question 5. A finishes 6/7th of the work in 2 hours, and B works twice as fast and finishes the remaining work. For how long did B work?
(a) 15 minutes
(b) 30 minutes
(c) 45 minutes
(d) 60 minutes
Solution: d) 60 minutes
Explanation:
Since A finishes 6/7th of the work in 2 hours, A completes 6/7 * 1/2 = 3/7th of the work in 1 hour. Now, since B works twice as fast as A, B completes the same amount of work (3/7th) in half the time it takes A.
Therefore, B finishes the remaining 1/7th of the work in 1/2 * 2 = 1 hour. So, the time taken by B to finish the remaining work is 1 hour, which is equivalent to 60 minutes.
Question 6. A can do a piece of work in 20 days, and B can do it in 15 days. If C, who can finish the same work in 25 days, joins them, then how long will it take to complete the work?
a) 6 (18/47)days
b) 12 days
c) 2 (8/11) days
d) 47 (6/18) days
Solution: a) 6(18/47) days
Explanation:
A’s work = 5% per day
B’s work = 6.66% per day
C’s work = 4% per day.
Total no. of days = 100/15.66 = 300/47 = 6(18/47)
Question 7. Sambhu can do 1/2 of the work in 8 days, while Kalu can do 1/3 of the work in 6 days. How long will it take for both of them to finish the work?
a)(88/17)days
b) (144/17)days
c) (72/17)days
d) 8 days
Solution: b) (144/17)days
Explanation:
Sambhu requires 16 days to do the work, while Kalu requires 18 days to do the work.
(1/16 + 1/18) X n = 1
n = 288/34= 144/17
Question 8. Anmol is thrice as good a workman as Vinay and, therefore, can finish the job in 60 days less than Vinay. In how many days will they finish the job working together?
a) 22.5 days
b)12.5 days
c) 15 days
d) 20 days
Solution: a) 22.5 days
Explanation:
Anmol takes 30 days, and Vinay takes 90 days. Consider Vinay takes x days to finish the job, and Anmol, being three times better than Vinay, takes x/3 days to finish the same job. Anmol can finish the job in 60 days less than Vinay.
Anmol's time = Vinay's time - 60
x/3 = x - 60
x = 3(x - 60) = 3x - 180
2x = 180
x = 90
Vinay takes 90 days to finish the job. Now Anmol's time: x/3 = 90/3 = 30
Combined work rate = 1/30+ 1/90
3/90+1/90 = 4/90
Number of days = 1/Combined work rate
1/(4/90) = 90/4
=22.5
Question 9. Anju, Manju, and Sanju can reap a field in 6 days. If Anju can do it alone in 10 days and Manju can do it in 24 days, in how many days will Sanju alone be able to reap the field?
(a) 40 days
(b) 36 days
(c) 35 days
(d) 32 days
Solution: a) 40 days
Explanation:
Total work of Anju, Manju and Sanju = 16.66%
Anju’s work = 10%
Manju’s work = 4.166%
Sanju’s work = 2.5%
So Sanju can reap the field in 40 days.
Question 10. 5 women can paint a building in 30 working hours. After 16 hours of work, 2 women decided to leave. How many hours will it take for the work to be finished?
(a) 16.66 hours
(b) 40.22 hours
(c) 35.66 hours
(d) 39.33 hours
Solution: d) 39.33 hours
Explanation:
Let the work finish in x hours.
5 x 30 – 5 x 16 = 3 x (x – 16)
By solving, we get
150 - 80 = 3x - 48
70 = 3x - 48
3x = 70+48
3x 118
X = 118/3 = 39.33 hours.
Conclusion
Exploring time and work concepts, formulas, problem-solving strategies, sample questions, aptitude practice, question pattern analysis, and learning benefits has equipped individuals with a solid foundation in this area.
By honing these skills, individuals can boost their confidence when facing similar challenges during placement interviews and exams.
Time For A Short Quiz
Frequently Asked Questions (FAQs)
1. What is the relation between time and work?
Time and work go together because the time you spend on a task affects how much work you can do. More time usually means more work done, but remember that the quality of work can also be affected by the time spent.
2. What is the formula for time and work together?
The formula for time and work together is based on the principle that the rates at which individuals work are additive. Here's the formula:
If A can complete a job in 'a' days and B can complete the same job in 'b' days, then:
Time taken when working together=Work done by A in one day × work done by B in one day/ Work done by A and B together in one day.
3. What is an example of a time and work problem?
A time and work problem is when you figure out how much time a group of workers need to finish a task based on how long each worker takes to do it alone.
This kind of problem requires creating equations to find out how fast each worker finishes the task. Then, we use this information to figure out the total time it takes for all workers to finish the task together.
4. Where can one find additional practice questions related to time and work?
Additional practice questions related to time and work can be found in aptitude test preparation books, online platforms offering mock tests or quizzes, educational websites specializing in mathematical topics, coaching institutes providing study materials or worksheets, or through mobile apps designed for aptitude practice.
5. Why is it important to analyze exam question patterns related to time and work?
Analyzing exam question patterns helps identify common types of questions asked in tests or exams on time and work topics, understand the weightage given to different concepts within the subject area, tailor preparation strategies accordingly to focus on high-yield areas, and familiarize oneself with the format of questions likely to be encountered.
Suggested reads:
- Boats And Streams: Formula, Top Question With Solution (Aptitude)
- Clock Questions: Selected Question & Answer (Aptitude) Explained
- Calendar Questions- Selected Aptitude Questions & Answers
- Pipes And Cisterns | Top Selected Question With Answer & Formula
- Problems On Age - Mastering Best Aptitude Questions & Solutions
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