Q1
Not Answered
NATIVE
Q1. A can finish a work in 14 days. What fraction of work does A complete in 5 days?
Daily work = 1/14. In 5 days, work done = 5/14.
Home / General Aptitude / Time & Work
General Aptitude
Time & Work
Improve time and work speed using pipe-cistern, work-rate, and combined efficiency problem sets.
About Time & Work
Time and Work questions test your ability to calculate how long it takes to complete a task when individuals or groups work together or separately. The fundamental principle is that work done equals the product of rate (efficiency) and time. If a person completes a job in N days, their rate is 1/N of the work per day. When multiple people work together, their rates add up. Common variations include: work left incomplete by one person and finished by another, pipe and cistern problems (inlet and outlet), and efficiency-based comparisons. Below are 15 solved time and work questions with detailed step-by-step explanations.
Key Takeaways
- Work rate = 1/Time. Faster worker = smaller time = larger rate.
- Combined rate = sum of individual rates. Never add times directly.
- LCM method simplifies complex work problems: convert everything to work units.
- For alternate-day work: track work done in each cycle of days, then count cycles.
Frequently Asked Questions
How do I calculate combined work rate?
Combined rate = Sum of individual rates. If A completes a job in 10 days (rate = 1/10) and B in 15 days (rate = 1/15): Combined rate = 1/10 + 1/15 = 1/6. Together they take 6 days.
What is the LCM method for time-work?
Take LCM of individual times to represent total work in units. If A takes 10 days and B takes 15 days: LCM = 30 units. A's efficiency = 3 units/day, B's = 2 units/day. Combined = 5 units/day. Time = 30 ÷ 5 = 6 days.
How do pipes and cisterns differ from regular work?
Inlet pipes fill (positive rate), outlet pipes drain (negative rate). Net rate = sum of inlet rates - sum of outlet rates. If an inlet fills a tank in 20 mins and an outlet drains it in 30 mins, net rate = 1/20 - 1/30 = 1/60. Time to fill = 60 minutes.
Ready to practice?
You will get a fresh set each session. Select an option to instantly see correctness and explanation.
20 questions
~6 minutes
Randomized each time
Explanations included
Answered
0%
Session
0%
Q2
Not Answered
NATIVE
Q2. A can complete a task in 12 days. After working alone for 7 days, how many days of work remain?
If A takes 12 days total, remaining days after 7 days = 12 - 7 = 5.
Q3
Not Answered
NATIVE
Q3. A can finish a work in 14 days. What fraction of work does A complete in 4 days?
Daily work = 1/14. In 4 days, work done = 4/14.
Q4
Not Answered
NATIVE
Q4. A finishes a job in 10 days and B in 15 days. In how many days can they finish together?
Combined rate = 1/10 + 1/15. Time = 150/25 = 6 days.
Q5
Not Answered
NATIVE
Q5. A can complete a task in 11 days. After working alone for 5 days, how many days of work remain?
If A takes 11 days total, remaining days after 5 days = 11 - 5 = 6.
Q6
Not Answered
NATIVE
Q6. A can finish a work in 7 days. What fraction of work does A complete in 4 days?
Daily work = 1/7. In 4 days, work done = 4/7.
Q7
Not Answered
NATIVE
Q7. A can complete a task in 13 days. After working alone for 3 days, how many days of work remain?
If A takes 13 days total, remaining days after 3 days = 13 - 3 = 10.
Q8
Not Answered
NATIVE
Q8. A can finish a work in 13 days. What fraction of work does A complete in 4 days?
Daily work = 1/13. In 4 days, work done = 4/13.
Q9
Not Answered
NATIVE
Q9. A finishes a job in 6 days and B in 12 days. In how many days can they finish together?
Combined rate = 1/6 + 1/12. Time = 72/18 = 4 days.
Q10
Not Answered
NATIVE
Q10. A can complete a task in 16 days. After working alone for 11 days, how many days of work remain?
If A takes 16 days total, remaining days after 11 days = 16 - 11 = 5.
Q11
Not Answered
NATIVE
Q11. A can finish a work in 8 days. What fraction of work does A complete in 2 days?
Daily work = 1/8. In 2 days, work done = 2/8.
Q12
Not Answered
NATIVE
Q12. A can complete a task in 8 days. After working alone for 2 days, how many days of work remain?
If A takes 8 days total, remaining days after 2 days = 8 - 2 = 6.
Q13
Not Answered
NATIVE
Q13. A finishes a job in 8 days and B in 24 days. In how many days can they finish together?
Combined rate = 1/8 + 1/24. Time = 192/32 = 6 days.
Q14
Not Answered
NATIVE
Q14. A can finish a work in 10 days. What fraction of work does A complete in 3 days?
Daily work = 1/10. In 3 days, work done = 3/10.
Q15
Not Answered
NATIVE
Q15. A finishes a job in 15 days and B in 30 days. In how many days can they finish together?
Combined rate = 1/15 + 1/30. Time = 450/45 = 10 days.
Q16
Not Answered
NATIVE
Q16. A can complete a task in 11 days. After working alone for 6 days, how many days of work remain?
If A takes 11 days total, remaining days after 6 days = 11 - 6 = 5.
Q17
Not Answered
NATIVE
Q17. A finishes a job in 9 days and B in 18 days. In how many days can they finish together?
Combined rate = 1/9 + 1/18. Time = 162/27 = 6 days.
Q18
Not Answered
NATIVE
Q18. A can complete a task in 17 days. After working alone for 8 days, how many days of work remain?
If A takes 17 days total, remaining days after 8 days = 17 - 8 = 9.
Q19
Not Answered
NATIVE
Q19. A finishes a job in 12 days and B in 12 days. In how many days can they finish together?
Combined rate = 1/12 + 1/12. Time = 144/24 = 6 days.
Q20
Not Answered
NATIVE
Q20. A can complete a task in 17 days. After working alone for 7 days, how many days of work remain?
If A takes 17 days total, remaining days after 7 days = 17 - 7 = 10.
Quiz Summary
Score: 0 / 20
Accuracy: 0%
Attempted: 0 | Skipped: 20
Time: 00:00
Time & Work Formula, shortcuts & preparation guide
Master time & work with regular practice. Key topics include percentage calculations, profit/loss, ratio, and time-work problems. Use shortcut methods for quick calculations and practice 15-20 questions daily to build speed and accuracy. This topic frequently appears in placement aptitude rounds.
Key formulas
- Work = Time × Rate
- Combined rate = 1/a + 1/b
Time & Work Practice Questions with Answers
Build speed and accuracy with curated time & work practice. Each quiz includes solved explanations, timed mode, and instant correctness feedback.
How to prepare effectively for this topic?
Practice short timed sets daily, review every explanation, and track recurring mistakes for weekly revision.
Are these questions useful for placements and competitive exams?
Yes. The format mirrors common screening rounds with option-based answers and explanation-driven learning.