Time and work problems are a common quantitative aptitude question asked in bank exams. These questions involve calculating the time taken by one or more persons or machines to do a piece of work together or separately. By understanding these key concepts and how people and machines work together or separately, you can effectively solve time and work problems in bank exams.
Time and Work Questions for Bank Exams
Time and task questions typically involve scenarios where a certain task needs to be completed, and the time taken to complete the task depends on the number of people working on it and their work rates Is. 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 together on it for 4 days, the fraction of work 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 work in 20, 30 and 60 days respectively. In how many days can A do the work if A is helped by B and C 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, he completed the work in 3 days. How much will C have to pay?
A) Rs 375
B) Rs 400
c) Rs 600
d) Rs 800
Answer: B) Rs 400
4. A can do a work in 10 days, B in 15 days. They work together for 5 days, the remaining work is finished by C in two more days. If they get Rs. 3000 as wages for the entire 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 by working 8 hours a day. Q can complete the same work in 8 days by working 10 hours a day. If P and Q both work together for 8 hours a day, then 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 work and worked for 6 days. How many more men need 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.One air conditioner can cool the hall in 40 minutes while another takes 45 minutes to cool down under similar conditions. If both the air conditioners are switched on at the same time, approximately how much time will it take to cool the room?
A) 8 minutes
B) 19 minutes
c) 22 minutes
d) 24 minutes
Answer: C) 22 minutes
8. Amrita can do a work in 20 days. Narendra is 25% more efficient than Amrita. How many days will Narendra take to do the same work?
a) 15 days
B) 16 days
c) 18 days
d) 25 days
Answer: B) 16 days
9. A can complete 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:
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 work in 20, 30 and 60 days respectively. In how many days can A do the work if A is helped by B and C every third day?
a) 12 days
B) 15 days
c) 16 days
d) 18 days
Answer: B) 15 days
11. Suhaan can do that work in 12 days and Simran can do the same work in 36 days. With Rahul, they can complete the work in 8 days. So, Rahul can do this:
a) 84 days
B) 78 days
c) 70 days
d) 45 days
Answer: A) 84 days
12. P is three times as good a workman as Q and hence, is able to complete a work in 60 days less than Q. Working together, they can accomplish this 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 normal rate of work and completes the work 28 minutes before the normal time. If Ram had worked at 7/11th of his normal rate of work, then how much more than the normal time would have been taken by him to complete the work?
A) 70 minutes
B) 44 minutes
c) 63 minutes
d) 53 minutes
Answer: B) 44 minutes
14. A can do 2/3rd of a certain work in 16 days and B can do 14th part of the same work in 3 days. In how many days can both of them complete 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 work in 15, 12 and 20 days respectively. They started the work together, but C left the work after 2 days. In how many days will A and B complete the remaining work?
A) 4 days
B) 8 days
c) 10 days
d) 5 days
Answer: A) 4 days
16. A tank has two inlets A and B which can fill it in 12 minutes and 15 minutes respectively. An outlet C can empty the entire tank in 10 minutes. If all three pipes in an empty tank are opened simultaneously, 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 complete 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 complete 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 complete a work in 25 days less than Sunita. In how many days can Sunita complete this work?
a) 45 days
B) 30 days
c) 90 days
d) 50 days
Answer: D) 50 days
19. A can do a work in 16 days, and B can do the same work in 12 days. With the help of C, he completed the work in 6 days. In how many days can C complete the work 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 work in 8 days and O can do it in 24 days. In how many days will M, N, and O together do it?
a) 45 days
B) 30 days
c) 90 days
d) 50 days
Answer: d) 50 days
