Time and Work Questions for SBI PO test the relationship between the amount of work completed, efficiency and time. Questions may involve individual workers, combined work, wages, alternate days and pipes and cisterns.
The efficiency method is generally faster than using fractions repeatedly.
Time and Work Questions for SBI PO : Live Quiz
Attempt the free Time and Work live quiz for SBI PO 2026 to evaluate your preparation. The quiz includes exam-oriented questions based on the latest SBI PO pattern, helping you improve calculation speed, accuracy, and identify topics that require more practice.
Q1. A completes a job in 12 days and B completes the same job in 18 days. How long will they take to complete the job together?
A’s one-day work = 1/12
B’s one-day work = 1/18
Combined one-day work = 1/12 + 1/18
= 3/36 + 2/36
= 5/36
Time taken together = 1 ÷ (5/36)
= 36/5 days
= 7.2 days
Answer: 7.2 days
Q2. A is twice as efficient as B. If B completes a task in 24 days, how long will A take?
Efficiency and time are inversely proportional.
A is twice as efficient as B, so A will take half the time taken by B.
A’s time = 24 ÷ 2
= 12 days
Answer: 12 days
Q3. A and B together complete a task in 10 days. A alone completes it in 15 days. In how many days can B alone complete the task?
A and B’s combined one-day work = 1/10
A’s one-day work = 1/15
B’s one-day work = 1/10 − 1/15
= 3/30 − 2/30
= 1/30
Therefore, B alone completes the task in 30 days.
Answer: 30 days
Q4. Twelve workers complete a task in 15 days. How many workers are required to complete the same task in 9 days?
For the same amount of work:
Workers × Days = Constant
12 × 15 = Required workers × 9
Required workers = (12 × 15) ÷ 9
= 180 ÷ 9
= 20 workers
Answer: 20 workers
Q5. A, B and C can complete a work in 20, 30 and 60 days respectively. How long will they take to complete the work together?
A’s one-day work = 1/20
B’s one-day work = 1/30
C’s one-day work = 1/60
Combined one-day work = 1/20 + 1/30 + 1/60
= 3/60 + 2/60 + 1/60
= 6/60
= 1/10
Therefore, they will complete the work together in 10 days.
Answer: 10 days
Quiz Summary
Quiz Completed!
Improve your Quantitative Aptitude preparation by solving more exam-level time and work questions.
Solve More QuestionsImportant Time and Work Concepts
If A completes a job in x days:
A’s one-day work = 1/x
If A and B work together:
Combined work = 1/x + 1/y
Efficiency and time are inversely proportional.
If efficiency ratio is 2:3, the time ratio is 3:2.
Time and Work Shortcuts
- Use LCM as total work.
- Convert days into efficiency units.
- Distribute wages in the ratio of work completed.
- In alternate-day questions, calculate work completed in one cycle.
- Treat filling pipes as positive and emptying pipes as negative.
Common Mistakes
- Adding the number of days directly
- Confusing efficiency ratio with time ratio
- Ignoring partial work
- Incorrectly distributing wages
- Treating an outlet pipe as a filling pipe
FAQs
What is the fastest method for Time and Work?
The LCM-efficiency method is effective for most questions.
Are Pipes and Cisterns related to Time and Work?
Yes. The same work-rate principle applies.
How are wages divided?
Wages are divided in proportion to the work completed by each person.
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