Time and Work is a topic in the Quantitative section of the Aptitude exam. Questions in this section are framed in a confusing way. So, make sure that you practice different level of questions in order to have flexibility while solving problems related to this concept.

Important topics covered in this section are combination of efforts, other type questions, efficiency questions, etc. To make your preparation easy we have compiled the most important 20 questions from this topic. Make sure you dedicate considerable time to solve these questions with integrity.

We assume that you have completed Profit and Loss practice before coming to this page if not make sure you solve questions from Profit and Loss. Second, after you complete this section solve questions from Time and Distance.

If you are already thorough with all the concepts of quantitative aptitude then move on to reasoning ability and verbal ability.

Q1

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

Level 1
Time and Work
Combination of Efforts

A

\(\frac{1}{24}\) day

B

\(\frac{7}{24}\) day

C

\(3\frac{3}{7}days\)

D

4 days

Q2

A takes twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

Level 1
Time and Work
Combination of Efforts

A

4 days

B

6 days

C

8 days

D

12 days

Q3

A can do a piece of work in 4 hours, B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

Level 1
Time and Work
Other Type Questions

A

8 hours

B

10 hours

C

12 hours

D

24 hours

Q4

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

Level 1
Time and Work
Combination of Efforts

A

20 days

B

22\(\frac{1}{2}\)days

C

25 days

D

30 days

Q5

A and B can do a job together in 7 days. A in \(1\frac{3}{4}\) times as efficient as B. The same job can be done by A alone in:

Level 1
Time and Work
Efficiency Questions

A

\(9\frac{1}{3}days\)

B

11 days

C

\(12\frac{1}{4}days\)

D

16\(\frac{1}{3}\) days

Q6

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:

Level 1
Time and Work
Quit Work Questions

A

5 days

B

6 days

C

10 days

D

10.5 days

Q7

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?

Level 1
Time and Work
Other Type Questions

A

2 days

B

3 days

C

4 days

D

5 days

E

none of these

Q8

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

Level 1
Time and Work
Combination of Efforts

A

4 days

B

5 days

C

6 days

D

7 days

Q9

A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in

Level 2
Time and Work
Combination of Efforts

A

14\(\frac{1}{3}\) days

B

15\(\frac{2}{3}\) days

C

16\(\frac{1}{3}\) days

D

18\(\frac{2}{3}\) days

Q10

18 men can complete a piece of work in 63 days. 9 women take 189 days to complete the same piece of work. How many days will 4 men, 9 women and 12 children together take to complete the piece of work in 7 children alone can complete the piece of work in 486 days?

Level 2
Time and Work
Combination of Efforts

A

54

B

63

C

76

D

81

E

None of these

Q11

Who is the slowest among the three workers P,Q and R?

I. P and Q together fence a garden of perimeter 800 m in 11 hours

II. P,Q and R together can fence a garden of perimeter 800 m in 5 hours.

Level 3
Time and Work
Other Type Questions

A

If the data in statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

B

If the data in statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question

C

If the data either in Statement I or in Statement II alone are sufficient to answer the question

D

If the data even in both Statements I and II together are not sufficient to answer the question

E

If the data in both statements I and II together are necessary to answer the question

Q12

In how many days can the work be completed by A and B together?

I. A alone can complete the work in 8 days.

II. If A alone works for 5 days and B alone works for 6 days, the work gets completed.

III. B alone can complete the work in 16 days.

Level 3
Time and Work
Other Type Questions

A

I and II only

B

II and III only

C

Any two of the three

D

II and either I or II

E

None of these

Q13

4 men and 10 women were put on a work. They completed \(\frac{1}{3}\) of the work in 4 days. After this 2 men and 2 women were increased. They completed \(\frac{2}{9}\) more of the work in 2 days. If the remaining work is to be completed in 3 days, then how many more women must be increased?

Level 3
Time and Work
Other Type Questions

A

8

B

32

C

50

D

55

Q14

A can complete a piece of work in 10 days, B in 15 days and C in 20 days. A and C together for 2 days and then A was replaced by B. In how many days, altogether, was the work completed?

Level 3
Time and Work
Combination of Efforts

A

6

B

8

C

10

D

12

Q15

Will Q take more than 8 hours to complete the job alone?

I. P works faster than Q.

II. P and Q can together finish the job in 5 hours.

Level 3
Time and Work
Other Type Questions

A

If the data in statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

B

If the data in statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question

C

If the data either in Statement I or in Statement II alone are sufficient to answer the question

D

If the data even in both Statements I and II together are not sufficient to answer the question

E

If the data in both statements I and II together are necessary to answer the question

Q16

P, Q and R are three typists who working simultaneously can type 216 pages in 4 hours. In one hour, R can type as many pages more than Q as Q can type more than P. During a period of five hours, R can type as many pages as P can during seven hours. How many pages does each of them type per hour?

Level 2
Time and Work
Efficiency Questions

A

14, 17, 20

B

15, 17, 22

C

15, 18, 21

D

16, 18, 22

Q17

24 men can complete a work in 16 days. 32 women can complete the same work in 24 days. 16 men and 16 women started working and worked for 12 days. How many men and women are to be added to complete the remaining work in 2 days?

Level 2
Time and Work
Other Type Questions

A

16

B

24

C

36

D

48

E

none of these

Q18

25 men with 10 boys can do in 6 days as much work as 21 men with 30 boys can do in 5 days. How many boys must help 40 men to do the same work in 4 days?

Level 2
Time and Work
Efficiency Questions

A

5

B

10

C

20

D

40

Q19

A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it?

Level 2
Time and Work
Other Type Questions

A

90 days

B

100 days

C

175 days

D

None of these

Q20

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 a.m. while machine P is closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished?

Level 2
Time and Work
Quit Work Questions

A

11.30 a.m.

B

12 noon

C

12.30 p.m.

D

1 p.m.

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20