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Time and Work Questions for Bank Exams

Time and Work problems are a common quantitative aptitude question asked in bank exams. These questions involve calculating the time taken to complete a task by one or more individuals or machines working together or separately. By understanding these key concepts and how individuals or machines work together or separately, you can effectively approach and solve Time and Work problems in bank exams.

Time and Work Questions for Bank Exams

Time and work questions typically involve scenarios where a certain task needs to be completed, and the time taken to complete the task is dependent on the number of people working on it and their work rates. Candidates are required to calculate the total time taken to complete the task based on the given information. To solve time and work questions effectively, candidates should be familiar with basic concepts such as work rate, time taken to complete a task, and the relationship between work rate and time taken. They should also be able to apply relevant formulas and equations to arrive at the correct answer.

1. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

a) 1/4

b) 1/10

c) 7/15

d) 8/15

Answer: d) 8/15

2. A, B, and C can do a piece of work in 20, 30, and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

a) 12 Days

b) 15 Days

c) 16 Days

d) 18 Days

Answer: b) 15 Days

3. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

a) Rs.375

b) Rs.400

c) Rs.600

d) Rs.800

Answer: b) Rs.400

4. A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):

a) 200, 250, 300

b) 300, 200, 250

c) 200, 300, 400

d) None of these

Answer:  b) 300, 200, 250

5. P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both p and Q work together, working 8 hours a day, in how many days can they complete the work?

a) 60/11

b) 61/11

c) 71/11

d) 72/11

Answer: a) 60/11

6. 12 men can complete a work in 8 days. 16 women can complete the same work in 12 days. 8 men and 8 women started working and worked for 6 days. How many more men are to be added to complete the remaining work in 1 day?

a) 8 Days

b) 12 Days

c) 16 Days

d) 24 Days

Answer: b) 12 Days

7.An air conditioner can cool the hall in 40 minutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at the same instance then how long will it take to cool the room approximately?

a) 8 minutes

b) 19 minutes

c) 22 minutes

d) 24 minutes

Answer: c) 22 minutes

8. Amruta can do a piece of work in 20 days. Narendra is 25% more efficient than Amruta. The number of days taken by Narendra to do the same piece of work is

a) 15 Days

b) 16 Days

c) 18 Days

d) 25 Days

Answer: b) 16 Days

9. A can finish a work in 24 days. B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

a) 5 Days

b) 6 Days

c) 10 Days

d) 10 1/2 Days

Answer: d)10 1/2 Days

10. A, B, and C can do a piece of work in 20, 30, and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

a) 12 Days

b) 15 Days

c) 16 Days

d) 18 Days

Answer: b)15 Days

11. Suhan can do the work in 12 days and Simran can do the same in 36 days. With Rahul, they can do the job in 8 days. So, Rahul can do the job in :

a) 84 Days

b) 78 Days

c) 70 Days

d) 45 Days

Answer: a) 84 Days

12. P is thrice as good a workman as Q and, therefore, is able to finish a job in 60 days less than Q. Working together, they can do it in :

a) 22 1/2 Days

b) 45 Days

c) 30 Days

d) 10 Days

Answer: a) 22 1/2 Days

13. On a certain day, Ram works at 11/7th of his usual rate of doing work and finished the work 28 minutes earlier than the usual time required. Had Ram worked at 7/11th of his usual rate of doing work then the time taken by him to complete the work would have been how much more than the usual time required?

a) 70 minutes

b) 44 minutes

c) 63 minutes

d) 53 minutes

Answer: b) 44 minutes

14. A can do 2/3 of a certain work in 16 days and B can do 14 of the same work in 3 days. In how many days can both finish the work, working together?

a) 10 Days

b) 12 Days

c) 13 Days

d) 8 Days

Answer: d) 8 Days

15. A, B, and C can do a piece of work in 15, 12, and 20 days respectively. They started the work together, but C left after 2 days. In how many days will the remaining work be completed by A and B?

a) 4 Days

b) 8 Days

c) 10 Days

d) 5 Days

Answer: a) 4 Days

16. A cistern has two inlets A and B which can fill it in 12 minutes and 15 minutes respectively. An outlet C can empty the full cistern in 10 minutes. If all three pipes are opened together in the empty tank, how much time will it take to fill the tank completely?

a) 20 minutes

b) 30 minutes

c) 40 minutes

d) 10 minutes

Answer: a) 20 minutes

17. A and B can do a piece of work in 18 days; B and C can do it in 24 days while C and A can finish it in 36 days. If A, B, C work together, in how many days will they finish the work?

a) 16 Days

b) 12 Days

c) 23 Days

d) 22 Days

Answer: a) 16 Days

18. Ram is twice as efficient as Sunita and can finish a piece of work in 25 days less than Sunita. Sunita can finish this work in how many days?

a) 45 Days

b) 30 Days

c) 90 Days

d) 50 Day

Answer: d) 50 Day

19. A can do a piece of work in 16 days, and B can do the same work in 12 days. With the help of C, they finished the work in 6 days. C can do the work in how many days, working alone?

a) 48 Days

b) 24 Days

c) 30 Days

d) 10 Days

Answer: a) 48 Days

20. M and N can do a piece of work in 8 days and O can do it in 24 days. In how many days will M, N, and O do it together?

a) 45 Days

b) 30 Days

c) 90 Days

d) 50 Days

Answer: d) 50 Days

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FAQs

What is the basic formula for Time and Work problems?

The Basic Formula for time and work question is, Time = Total Work / Efficiency

What is the relationship between efficiency and time?

There's an inverse relationship. If efficiency increases, time decreases, and vice versa.

How do you solve work and wages problems?

To Calculate the total wages earned , multiplying the daily wage by the number of days worked you can solve the work and wages problems.

How can I improve my ability to solve Time and Work problems?

Practice regularly, understand the basic concepts and formulas, and visualize the problems using diagrams.

What are leakage problems in pipe and cistern problems?

When a cistern is being filled by one pipe while another pipe is leaking water.