Time And Work Questions

The time and work is an essential topic of the CAT Quantitative aptitude section as a lot of related questions are asked every year. Practice these questions to get comfortable with the topic and solve them easily in the exam.

1) Ram starts working on a job and works on it for 12 days and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 days and the work gets completed. How much more efficient is Ram than Ravi?

a) 50%

b) 200%

c) 60%

d) 100%

2) If A and B work together, they will complete a job in 7.5 days. However, if A works alone and completes half the job and then B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?

a) 20 days

b) 40 days

c) 30 days

d) 24 days

3) A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are filling pipes?

a) 2

b) 4

c) 6

d) 4. 5

4) A can finish a work in 12 days while B can finish the same work in 15 days. If both work together, then calculate the Time taken to complete the work.

a) 6 2/3 days

b) 6 days

c) 8 days

d) 4 days

5) Arun can finish a work in 12 days; Ajit can finish the same work in 15 days while Amit can finish the same work in 20 days. Find the total Time taken when all three work together to complete the work.

a) 6 days

b) 5 days

c) 4 days

d) 3 days

6) As a worker, Ajit is thrice as good as Dev. If both working together can finish the work in 5 days, then determine the Time taken by Ajit to complete the work alone.

a) 10/3 days

b) 5 days

c) 4 days

d) 20/3 days

7) A and B can do a work in 12 days, B and C can do the same work in 15 days and A and C can complete the work in 20 days. In how many days A, B and C working together can complete the whole work?

a) 10 days

b) 12 days

c) 8 days

d) 14 days

8) A can finish the work in 16 days while B can finish the work in 8 days. After A started the work alone, B joined him after 4 days. Find out the total Time taken to finish the work.

a) 4 days

b) 8 days

c) 6 days

d) 14 days

9) Amit takes 20 days to complete a certain work. Amit started the work and Suraj joined him 4 days before the work was completed. Find out the number of days for which Amit worked alone if Suraj’s efficiency is 25% more than that of Amit’s.

a) 10 days

b) 8 days

c) 12 days

d) 11 days

10) The ratio of number of days taken by B is to C is 2: 3. The ratio of efficiency of A is to C is 5: 3. A takes 4 days less than C, when A and C complete the work individually. A, B and C started the work and B & C left after 2 days. The number of days taken by A to complete the remaining work is:

a) 1 day

b) 2 days

c) 3 days

d) 5 days

11) A takes 4 days less than B and 2 days more than C to do a job. A and B together can do the job in the same Time as C. Determine the ratio of number of days taken by A and B to complete the job individually.

a) 2: 3

b) (1 + v3): (3 + v3)

c) 1: v2

d) (1 + v3): (2 + v6)

12) Two companies GIL and NCC are working together to build a flyover in Delhi. GIL working on its own would have finished the project in 5 months but working with NCC it is able to finish the project in 4 months. NCC has two teams, one headed by Ramesh and other headed by Sanjeev working on this project. They are doing the same kind of work but efficiency of Sanjeev’s team is 75% of the efficiency of Ramesh’s team. If the total value of the contract for building this flyover is Rs. 35, 00, 000 then determine the money obtained by Sanjeev’s team.

a) Rs. 4, 00, 000

b) Rs. 3, 50, 000

c) Rs 2,50, 000

d) Rs. 3, 00, 000

13) 30 people can do a piece of work in 24 days. Find out the number of days taken by 40 people to complete the same amount of work.

a) 20 days

b) 25 days

c) 18 days

d) 22 days

14)24 men can complete a work in 20 days. How many more men are required to complete the work in 12 days?

a) 40

b) 12

c) 16

d) 14

15)20 men can complete a work in 20 days. After how many days should the number of men be increased by 50% so that the work is completed in 75% of the actual Time?

a) 6

b) 4

c) 3

d) 5

16) 15 workers working 4 hours a day for 25 days can build a platform of width 120 meters, length 10 meter and height 14 meters. How many days will 12 workers working 5 hours a day will take if they have to build a platform of width 600 meters, length 14 metres and height 12 metres?

a) 150

b) 130

c) 125

d) 120

17) 5 men or 8 women can reap a field in 12 days. Find the number of days (approximately) taken by 3 men and 4 women to reap the same field.

a) 10

b) 11

c)12

d) 13

18) 6 children and 2 men complete a job in 6 days. Each child takes twice as much Time a man takes to complete the same amount of job. In how many days will 4 men complete the same job.

a) 7

b) 8

c) 6

d) 7.5

19) Three women and four men can complete a work in 4 days. Two men and five women can complete the same work in 5 days. Find out the money received by a man for his work if a woman is paid Rs. 60 for her work.

a) Rs. 120

b) Rs. 150

c) Rs. 130

d) Rs. 75

20) (x – 2) men can do a job in x days and (x+ 7) men can do a job in ¾ of the same work in (x – 10) days. Calculate the number of days in which (x + 4) men can finish the job.

a) 12

b) 14

c) 8

d) 15

21) One Indian, one Chinese and one Japanese worked for a company for the same period. The Indian is twice as efficient as Chinese and the Chinese is thrice as efficient as a Japanese. If Rs. 10,00,000 were given to all the three together, then calculate the amount received by the Chinese and the Japanese together.

a) Rs. 8, 00, 000

b) Rs. 4, 00, 000

c) Rs. 9, 00, 000

d) Rs. 6, 50, 000

22) 4 men and 2 boys can do a job in 6 2/3 days. 3 women and 4 boys can finish the same job in 5 days. Also 2 men and 3 women can finish the same job in 4 days. In how many days can 1 man, 1 woman and 1 boy finish the work at their double efficiency?

a) 5

b) 6

c) 4

d) 7

23) Pipe A can fill a tank in 4 hours while Pipe B can empty the same tank completely in 5 hours. If both the pipes are working simultaneously, then determine the Time in which an empty tank will be completely filled.

a) 6

b) 9

c) 20

d) 13

24) A tap can fill a tank in 12 hours, but because of a hole in the bottom of the tank, it fills the tank in 15 hours. Determine the Time it will take to empty the tank if it is completely filled once and tap is closed.

a) 30 hrs

b) 60 hrs

c) 20 hrs

d) 25 hrs

25) If one pipe A can fill the tank in 10 hours then 4 pipes each of efficiency 20% as that of Pipe A can fill the same tank in how many hours?

a) 15 hrs

b) 12 hrs

c) 10 hrs

d) 12.5 hrs

For complete and detailed solutions, please visit time and work solutions.