time and work MCQs

Practise focused time and work questions with marked answers for exam preparation and subject revision.

time and work Mcqs
1. Two taps X and Y can fill a tank in 10 hrs. and 15 hrs.respectively. If the both taps are opened together, the tank will be full in_________?
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A. 6 hrs.

B. 5 hrs.

C. 4 hrs,

D. 3 hrs.

2. P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in________days
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A. 3

B. 4

C. 2

D. 1

3. A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is_________?
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A. 2:01

B. 1:03

C. 4:3

D. 2:03

4. P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 10 days. How many days more will P take to finish the work?
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A. 10

B. 19

C. 8

D. 18
5. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
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A. 2700

B. 1080

C. 450

D. 1800
6. P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?
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A. 7

B. 8

C. 9

D. 10

7. Mansoor-Ul-Haque and Aaqib are working on a special assignment. Mansoor-Ul-Haque needs 6 hours to type 32 pages on a computer and Aaqib needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?
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A. 8 hour 15 minutes

B. 8 hour 30 minutes

C. 7 hour 30 minutes

D. 7 hour 15 minutes

8. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in___________?
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A. 15 days

B. 12 days

C. 8 days

D. 10 days

9. If two pipes function together, the cistern will be filled in 6 hrs. One pipe fills the cistern 5 hrs. faster than the other. How many hours it take the second pipe to fill the cistern?
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A. 10 hrs

B. 20 hrs

C. 5 hrs

D. 15 hrs
10. 4 men and 2 woman can complete a work in 2 days. If 2 men alone take 5 days to complete the work, find the time taken by 2 women alone to complete the work.
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A. 8 days

B. 15 days

C. 10 days

D. 20 days

11. If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?
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A. 10

B. 12

C. 2

D. 8

12. A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in_______days.
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A. 6 5?11

B. 5 5?11

C. 4 5?11

D. 6 4?11

13. A leak in the lower portion of a tank can empty the full tank in 9 hrs. An inlet pipe fills water at the rtae of 10 lit. a minute. When the tank is full, the inlet is opened and due to leak, the tank is empty in 16 hrs. How many litres does the cistern hold ?
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A. 12,566 litres.

B. None of thes

C. 12,444 litres

D. 12,342 litres.
14. Two pipes can fill a tank in 10 hrs. and 12 hrs. respectively while a third pipe empties the full tank in 20 hrs. If all the three pipes operate together , in how much time the tank will be filled ?
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A. 7.5 hrs

B. 7 hrs

C. None of these

D. 5 hrs

15. A can lay a railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in_________?
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A. 10

B. 9.6

C. 4

D. 9

16. 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 ?
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A. 12 days

B. 16 days

C. 18 days

D. 15 days

17. A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish, then out of a total wages of Rs.75. A will get:___________?
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A. 40 Rs.

B. 45 Rs.

C. None of these

D. 35 Rs.

18. Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.
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A. 4:3

B. 5:04

C. 3:04

D. 5:03

19. 8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?
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A. 6 days

B. 12 days

C. 10 days

D. 8 days

20. 12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
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A. 16

B. 15

C. 18

D. 14

21. A and B together take 6 days to complete a task. B and C together take 12 days to complete the same task. A and C together take 8 days to complete it. If A, B and C are working together, how long does it take for them to complete the task?
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A. 4(2/3) days

B. 1(1/3) days

C. 4 days

D. 5(1/3) days
22. A, B and C together earn Rs.150 per day while A and C together earn Rs.94 and B and C together earn Rs.76. The daily earning of C is:__________?
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A. 20 Rs.

B. 15 Rs,

C. 25 Rs.

D. 10 Rs,

23. A tank can be filled by a pipe in 20 min. and by another pipe in 60 min. Both the pipes are kept open for 10 min. and then the first pipe is shut off. After this, the tank will be completely filled in__________?
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A. 20 min

B. 30 min

C. 10 min

D. 40 min

24. P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?
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A. 9 days

B. 15 days

C. 10 days

D. 14 days

25. If 3 men or 4 women can construct a wall in 43 days, then the number of days that 7 men and 5 women take to construct it is :
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A. 16 days

B. 18 days

C. 12 days

D. 14 days

26. If 10 workers can make 10 tables in 10 days, then how many days would it take for 5 workers to make 5 tables?
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A. 1

B. 25

C. 5

D. 10
27. If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
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A. 15

B. 14

C. 16

D. 13

28. P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?
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A. 8

B. 2

C. 4

D. 6
29. P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?
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A. Rs.40

B. Rs.100

C. Rs.70

D. Rs.90

30. Two pipes P and Q can fill a cistern in 12 min. and 15 min. respectively but a third pipe R can empty the full tank in 6 min. P and Q are kept open for 5 min. in the beginning and then R is also opened. In what time is the cistern emptied ?
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A. 35 min

B. 40 min

C. 45 min

D. 30 min

31. P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
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A. 9

B. 11

C. 13

D. 23

32. P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in__________days.
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A. 22

B. 20

C. 15

D. 12
33. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman ?
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A. 5:03

B. Data inadequate

C. 3:04

D. 4 : 3
34. A cistern has two taps which fill it in 12 min. and 15 min.respectively There is one outlet pipe in the cistern. When all the taps & pipe are opened, the empty cistern is full in 20 min. How long will the waste pipe (outlet) take to empty the full cistern ?
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A. 10 min

B. 40 min

C. 20 min

D. 30 min

35. If 28 men can finish a work in 15 days, 21 men can finish the same work in___________?
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A. 20 days

B. 14 days

C. 15 days

D. 24 days

36. A can do piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it ?
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A. 45 days

B. 50 days

C. 70 days

D. 120/7 days
37. Efficiency of Rashid and Danish are in the ratio 5:8. If Danish takes 51 days less than Rashid to complete the work, find the time taken by Rashid to complete the work.
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A. 85 days

B. 118 days

C. 126 days

D. 136 days
38. A can do a certain job in 12 days. B is 60% more efficient than A. The number of days it takes for B to do the same piece of work, is:_________?
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A. 15/2 days

B. 12/6 days

C. 34 days

D. 23 days

39. 10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?
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A. 7

B. 5

C. 4

D. 6

40. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last ?
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A. 20 days

B. 6 days

C. 10 days

D. 15 days

41. wo pipes X and Y fill a tank in 15 hrs. and 20 hrs. respectively, while a third pipe Z can empty the full tank in 25 hrs. All the three pipes are opened in the beginning. After 10 hrs. Z is closed. In how much time, will the tank be full ?
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A. 12 hrs

B. 14 hrs

C. 18 hrs

D. 16 hrs

42. 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 the same in 12 hours. All the machines started printing at 9 A.M. Machine P is stopped at 11 A.M. and the remaining two machines complete work. Approximately at what time will the printing of one lakh books be completed?
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A. 2:00 PM

B. 11:00 AM

C. 3:00 PM

D. 1:00 pm
43. Two pipes P and Q can fill a cistern in 12 minutes and 16 minutes respectively. Simultaneously both the pipes are opened together, then after how much time Q should be closed so that the tank is full in 9 min ?
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A. 3 min

B. 2 min

C. 5 min

D. 4 min
44. P can do a work in 24 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in_________days.
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A. 12

B. 11

C. 10

D. 9

45. A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days. In how many days will A alone finish the job?
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A. 34(2/7)

B. 45

C. 48

D. 44

46. P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?
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A. = 2

B. 7

C. 8

D. t; Q takes 12/2 days = 6 days to complete the work

E. 9

F. t; x = 12

47. A and B together can complete a work in 1.2 days,. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work ?
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A. 11 days

B. 10 days

C. 15 days

D. 20 days

48. C takes 6 days to complete half of a work and D takes 5 days to complete 1/3rd of the same work. They take turns to complete the task. If C works for the first 4 days, in how many days will D complete the rest of the work without the help of C?
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A. 9 days

B. 8 days

C. 10 days

D. 12 days

49. A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in__________?
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A. none of these

B. 20 days

C. 40 days

D. 30 days
50. If 6 men take 9 days to complete a work, how many men can complete the work in 3 days?
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A. 2 men

B. 9 men

C. 18 men

D. 12 men