50+ Time and Work Questions and Answers (Formulas, Tricks & Solved Examples for SSC, Bank Exams)

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Time and Work

Time and Work – Formulas, Tricks and Questions for Competitive Exams

Time and Work is one of the most important topics in quantitative aptitude for competitive exams such as SSC, Bank PO, Railway, CAT, and campus placements.

These questions test your ability to calculate work efficiency, work rate, and total time required to complete a task.

If you understand the basic formulas and shortcuts, solving time and work questions becomes very easy.

In this guide, you will learn:

  • Time and Work concept
  • Important formulas
  • Quick tricks and shortcuts
  • Solved examples
  • Practice questions
Time and Work Practice Quizzes

Time and Work Test 1

Time and Work Test 2

Time and Work Test 3(inactive)

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To strengthen your aptitude preparation, practice these topics as well:

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Time and Work for Competitive Exams

Time and Work questions frequently appear in exams such as:

Practicing these questions helps improve problem-solving speed and accuracy.

What is Time and Work?

Time and Work problems deal with how long it takes a person or group to complete a task.

These problems are based on the relationship between:

  • Work
  • Time
  • Efficiency

Example:

If a worker can complete a task in 10 days, then in 1 day he completes:

1/10 of the work.

This concept is known as work rate.

Working Time: The total number of days it takes to complete a piece of work is called working time.

Ex: If A can do a piece of work in 20 days, then the working time of A = 20 days.

Working Capacity: A part of the work that has been done in a period of time or per day work is called Working capacity.

Ex: If A can do a piece of work in 20 days, then the working capacity of A = 1/20.

$$∴ Working\ Time ∝ \frac{1}{Working\ Capacity}$$

Time and Work Basic Formulas:

  1. if A can complete the work in x days and B can Complete the work in y days, then A and B working together on the same piece of work will be completed in xy/(x+y).
  2. If M1 persons can do W1 work in D1 days and M2 persons can do W2 work in D2 days then we have a formula in the relationship of M1D1W2 =M2D2W1  

From the above formula, we can derive (i) M1D1T1W2 =M2D2T2W1            (ii)M1D1T1E1W2 = M2D2T2E2W1 

Here, T = Time and E = efficiency.

Solved Examples of Time and Work

Q1) A and B can complete a work alone in 18 days and 24 days, respectively. If B started work alone and after 3 days A also joined then in how many days whole work will be completed.

  1. 6 days
  2. 12 days
  3. 8 days
  4. 10 days
  5. 15 days

Solution:
time and work

 

 

 

 

 

 

 

 

Q2) A and B can complete a work in 6 days and 10 days respectively, both work for 2.5 days together and the remaining work done by A alone, find time taken by A to complete the remaining work?

  1. 5 days
  2. 10/3 days
  3. 5 days
  4. 8 days
  5. 2 days

Solution:

time and work

 

 

 

 

Q3) Sanjay can complete 80% of the work in 32 days and when he worked with Sunny, they take 18 days to complete 75% of the same work. Find the time taken by Sunny alone to complete the same work alone?

  1. 60 days
  2. 40 days
  3. 30 days
  4. 80 day
  5. 75 days

Solution:

time and work

 

 

 

 

 

 

Q4) Priya can do 1/2 of the work in 10 days while Pooja can do 1/3 of the work in 10 days. How long it will take for both of them to finish the work if Priya started the work and they work on alternative days.

  1. 15 days
  2. 18 days
  3. 21 days
  4. 24 days
  5. 27 days

Solution:

time and work

 

 

 

 

 

 

Q5) Neha who is 50% more efficient than Ritu who take double time than Priya to complete a work. Neha can complete a work in ‘x’ days while Priya can complete the same work in (x – 15) days. In how many days all three can completes the same work together?

  1. 36 days
  2. 30 days
  3. 5 days
  4. 20 days
  5. 18 days

Solution:

time and work

 

 

 

 

 

 

 

 

 

 

Q6) Wages of 10 women for 5 days is Rs 1250. The daily wage of a man is twice that of a woman. How many men must work for 8 days to earn Rs 1600?

  1. 5 men
  2. 8 men
  3. 4 men
  4. 6 men
  5. None of these

Solution:
time and work

 

 

 

Q7) P and Q together can complete a work in 24 days, while P takes 20 days more than Q to complete the work alone. Find in how many days 50% of work can be completed by Q alone?

  1. 10 days
  2. 20 days
  3. 15 days
  4. 30 days
  5. 40 days

Solution:
Let Q alone can complete work in ‘d’ days
And P alone can complete work in ‘d+20’ days
time and work

Q8) A alone can complete a work in 25 days and B alone can complete the same work in 15 days. If C is 60% less efficient than B, then find time taken by A and C together to complete the same work?

  1. 12 days
  2. 15 days
  3. 16 days
  4. 14 days
  5. 11 days

Solution:

time and work

 

 

 

 

Q9) A work can be completed by 48 men in 80 days, in how many days 16 men can complete the 200% of the same work?

  1. 160 day
  2. 480 days
  3. 300 days
  4. 180 days
  5. 225 days

Solution:
time and work

 

 

Q10) Rahul and Ayush can complete a piece a work alone in 12 days and 20 days respectively, while Deepak takes 2.5 days more than time taken by Rahul & Ayush together to complete the same work. Find the time taken by Deepak to complete the work alone?

  1. 12 days
  2. 10 days
  3. 9 days
  4. 5 days
  5. 5 days

Solution:
time and work

 

 

 

 

Tips to Solve Time and Work Questions Faster

Follow these tips during exams:

  • Convert days into work rate
  • Use the LCM shortcut method
  • Always calculate combined efficiency
  • Practice previous exam questions
  • Avoid complex fractions when possible

With regular practice, most time and work problems can be solved in under 30 seconds.

Time and Work is a fundamental topic in quantitative aptitude. By understanding the work rate concept, formulas, and shortcuts, you can solve even difficult problems quickly.

Practice the questions regularly and revise formulas to improve your performance in SSC, Bank, Railway, and other competitive exams.

Consistent practice will help you increase both speed and accuracy in aptitude tests.

Frequently Asked Questions (FAQs)

What is Time and Work in aptitude?

Time and Work is a quantitative aptitude topic that explains the relationship between work done, time taken, and worker efficiency.

What is the basic formula for Time and Work?

The basic formula is: Work = Rate × Time.

What is the LCM method in Time and Work?

The LCM method assumes total work as the least common multiple of days required by workers to simplify calculations.

Why are Time and Work questions important for exams?

These questions appear frequently in SSC, bank, railway, and placement exams.