# Time and Work Questions and Answers

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## Time and Work Model Question

1. 4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If, 2 men, 4 women and 10 children work together, in how many days can the work be completed?

A. 1 day

B. 3 days

C. 2 days

D. 4 days

E. None of these

2. A alone can do a piece of work in 20 days and B alone in 30 days. They begin to work together. They will finish half of the work in:

A. 8 days

B. 9 days

C. 12 days

D. 6 days

3. The area of a square is thrice the area of a rectangle. If the area of the square is 225sq cm and the length of the rectangle is 15 cm, what is the difference between the breadth of the rectangle and the side of the square?

A. 8 cm

B. 10cm

C. 12cm

D. 16 cm

E. None of these

4. A man and a boy can complete a work together in 24 days. If for the last six days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone?

A. 72 days

B. 20 days

C. 24 days

D. 36 days

5. 6 women alone can complete a piece of work in 10 days, whereas 10 children alone take I5 days to complete the same piece of work. How many days will 6 women and 10 children together take to complete the piece of work?

A. 7

B. 8

C. 6

D. 4

E. None of these

6. Six women and 10 children together take six days to complete a piece of work. How many days will 10 children take to complete the piece of work if six women together can complete the same piece of work in 10 days?

A. 21

B. 18

C. 12

D. 15

E. None of these

7. A can do a work in 6 days and B in 9 days. How many days will both take together to complete the work?

A. 7.5 days

B. 5.4 days

C. 3.6 days

D. 3 days

8. 4 women and 12 children together take tour days to complete a piece of work. How many days will four children alone take to complete the piece of work if two women alone can complete the piece of work in 16 days?

A. 32

B. 24

C. 16

D. 12

E. None of these

9. 2 women and 10 children together take 8 days to complete a piece of work. How many days will 10 children alone take to complete the piece of work if 8 women alone can complete the piece of work in 6 days?

A. 15

B. 12

C. 10

D. 24

E. None of these

10. A factory produces 1515 items in 3 days. How many items will they produce in a week?

A. 3530

B. 3553

C. 3533

D. 3535

E. None of these

## Sample Questions and Answers Solved Papers

11. Some carpenters promised to do a job in 9 days but 5 of them were absent and remaining men did the job in 12 days. The original number of carpenters was

A. 24

B. 20

C. 16

D. 18

12. 9 women can complete a piece of work in 19 days. How many days will 18 women take to complete the same piece of work?

A. 12 days

B. 6.5 days

C. 9 days

D. 8.5 days

E. None of these

13. 12 men alone can complete a piece of work in 6 days. Whereas 10 men and 21 women together take 3 days to complete the same piece of work. In how many days can 12 women alone complete the piece of work?

A. 10

B. 9

C. 1

D. 8

E. None of these

14. A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the work in 10 and 24 days respectively. The days taken by a boy to finish the work is

A. 30

B. 35

C. 40

D. 45

15. A juice centre requires 35 dozen guavas for 28 days. How many dozen guavas will it require for 36 days?

A. 50

B. 52

C. 40

D. 45

E. None of these

16. 150 workers were engaged to finish a piece of work in a certain number of days. Four workers dropped on the second day, four more workers dropped on third day and so on. It takes 8 more days to finish the work now. Find the number of days in which the work will be finished.

A. 28

B. 24

C. 25

D. 30

17. A and B together can complete a particular task in 8 days. If B alone can complete the same task in 10 days, how many days will A take to complete the task if the works alone?

A. 28

B. 36

C. 40

D. 32

E. None of these

18. 56 workers can finish a piece of work in 14 days. If the work is to be completed in S days, then how many extra workers are required?

A. 36

B. 48

C. 44

D. 42

E. 32

19. A and B together can complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest of the work in 14 days. A alone can complete the work in

A. 24 days

B. 22 days

C. 20 days

D. 18 days

20. A alone can make 100 baskets in 6 days and B alone can make 100 baskets in 12 days. In how many days can A and B together make 100 baskets?

A. 3 days

B. 5 days

C. 25 days

D. 35 days

E. None of these

## Practice Exercise on Time and Work

21. 8 men and 4 women together can complete a piece of work in 6 days. The work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days 4 men left and 4 new women joined, in how many more days will the work be completed?

A. 8 days

B. 5 days

C. 6 days

D. 4 days

E. 9 days

22. If a certain number of workmen can do a piece of work in 25 hours, in how many hours will another set of an equal number of men, do a piece of work, twice as great, supposing that 2 men of the first set can do as much work in an hour, as 3 men of the second set do in an hour?

A. 60

B. 75

C. 90

D. 105

E. None of these

23. A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is:

A. 12

B. 9

C. 15

D. 10

E. None of these

24. A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, 4/7 of the work is completed, How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day ?

A. 80

B. 81

C. 82

D. 83

E. None of these

25. Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have completed in 3 days. Find the time tor A to complete the job alone.

A. 6.25 days

B. 5.7 days

C. 5 days

D. 3 days

E. None of these

26. A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of wall?

A. 13(1/3) days

B. 7(1/3) days

C. 6(1/3) days

D. 7 days

E. None of these

27. A and B can complete a piece of work in 15 days and 10 days respectively. They contracted to complete the work for 30,000. The share of A in the contracted money will be :

A. 18,000

B. 16,500

C. 12,500

D. 12,000

28. A and B can do a piece of work in 10 days. B and C can do it in l2 days. A and C can do it in 15 days. How long will A take to do it alone?

A. 24 days

B. 20 days

C. 40 days

D. 30 days

29. A and B together can complete a job in 8 days. Both B and C, working alone can finish the same job in 12 days. A and B commence work on the job, and work for 4 days, where upon A leaves. B continues for 2 more days, and then he leaves too. C now start. How many days it takes to finish the work?

A. 5

B. 3

C. 4

D. 3

30. A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is

A. 10

B. 12

C. 9

D. 15