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Practise Papers for C-Mathematics (Preparation for SEE)

                  



CHAPTER – TIME & WORK

Important Questions for SLC

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1. Ram can do a work in 9 days and Shyam can do it in 12 days. In how many days, both together,

can do the work?

2. A and B can do a work in 30 days and 40 days respectively. In how many days can A and B working

together do it?

3. A and B can do a work in 12 days, which A alone can do in 30 days, In how many days B alone can

do it ?

4. A and B can do a piece of work in 12 days. B alone can do it in 30 days. Both started the work

together but B leaves after 5 days. In how many days is the whole work completed?

5. Mohan and Sohan can do a piece of work in 12 days. Mohan alone can do it in 18 days. Both

started the work together, but Mohan left the work after 6 days. How long will Sohan work alone to

finish the remaining work?

6. A and B can finish a piece of work in 12 and 18 days respectively. After some days when both start

to work together A leaves and B completes the remaining work in6 days. How many days has A

worked together before he left?

7. A, B and C working together can do a piece of work in 18 days. A could do it alone in 72 days.

After working together for 6 days. A is fallen ill. How long will B and C together take to finish the

remaining work?

8. A, B, and C can finish a piece of work in 30, 40 and 60 days respectively 10 days after they started

to work together B leaves. 4 days after B left, A leaves and C completes the remaining work. Find

how many days C had worked altogether.

9. A and B can do a piece of work in 45 and 30 days respectively. They work at it together for some

days then A leaves 5 days before completion the work. How many days would they work together?

10. A can do a piece of work in 20 days, B can do it in 30 days and C in 40 days. Three of them started

the work together. A left the work after 5 days and C left it in 10 days before its completion. Find in

how many days the work might have been finished.

11.A, B and C can do a piece of work in 15 days, 20 days and 30 days respectively. Three of them

started the work together but A left after 5 days and B left 2 days before its completion. Find in how

many days the work might have been finished.

12. A can do a piece of work in 10 days, B can do it in 20 days and C in 30 days Three of them started

the work together. A left the work after 4 days and C left it some days before its completion. If the

work is completed in 9days, for how many days did C work?

13.X, Y and Z can finish a piece of work in 20, 30 and 40 days respectively. If x left the work after

working for 5 days, in how many days can Y and Z together complete the remaining work?

14.If 12 labours can do a piece of work in 15 days working 8 hours a day, how many days will 10

labours take to finish half of it working 9 hours a day?

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CHAPTER – TIME & WORK

15. 20 men can do a piece of work in 24 days. After working for few days, 4 men are added and the

work was finished 3 days earlier. After how many days were 4 men added?

16.A piece of work was to be completed in 40 days. Then 10 more men were employed and they

finished of work in 20 days, then 10 more men added and work was completed in time, find the

number of men employed the first.

17. 20 men can finish a piece of work in 30 days. When should 5 men leave the work, so that if may be

finished 35 days?

18. 40 men can do a piece of work in 24 days. After working for a few days 8 men are added and the

whole work as completed 3 days earlier. After how many days were those 8 men added?

19. 6 labours can finish a work in 120 days working 7 hours daily. If the work is to be finished in 105

days by working 6 hours daily, how labours will be required?

20. A contractor undertakes to dig a canal 12 km. long in 350 days and employs 45 men. He finds that

after 200 days of working only 4 kilometers of canal have been completed. How many extra men

must be employed to finish the work in time?

21.A certain number of men can complete a piece of work in 90 days. If, however, there are 15 men

less, it will take 10 days more for the work to complete. How many men were there originally?

22. 12 men are engaged to do a piece of work in 15 days. After working for 6 days they found that only

of the work is done. How many men should be added to finish the work in time?

23.200 labours need 50 days to construct a road of 4 km. long working 8 hours a day. How many

labours should be decreased to construct the same road in 80 days working 10 hours a day?

24. 55 men can finish a piece of work in 42 days. How many additional men must be added to complete

the work 9 work 9 days earlier?

25. 16 men are engaged to do a piece of work in 20 days. After 8 days it is found that only of the work is

done. How many additional men should be taken to complete the work in time.

26. A men undertakes to do a certain job in 32 days. He hires 12 men for the job At the end of 8 days,

only one fifth of the work was completed. How many extra men must be employed in order to

complete the work in time?

27.A contractor had to finish a work in 30 days and he employed some men to do the work. They

finished half of the work in 20 days. When 60 more men were added the work was finished on the

specified time. How many men were employed in the beginning?

28. A piece of work was to be completed in 30 days. A number of men employed upon it did only half

the work in 18 days. 12 more men were added and the work was completed in the specified time.

How many men were employed at first?

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CHAPTER – TIME & WORK

29.A contractor had to finish a work in 60 days and he employed 60 laboures to do the work. They

finished half of the work in 40 days. How many more labourers should be added to finish the work in

specified time?

30. 20 men can do a piece of work in 24 days. After working for 6 days, an additional number of men

are taken to finish the work in 21 days from the beginning. Find the number of additional men.

31.A piece of work has to be completed in 30 days. A number of men  employed in it and did only

half of the work in 20 days. 20 more men  were added and work was completed in the specific

time. How many  men were employed first?

32. A piece of work had to be completed in 60 days. A number of men employed upon it and they did

only of the work in 40 days. 20 more men were added and the work was completed in the specified

days. How many men were employed at first?

33. A contractor undertook to do a work in 40 days and employed a certain number of men upon it who

did only half of the work in 24 days. So, 16 more men added to do the work in time. How many men

were employed initially?

34.A work was to be finished in 16 days and for this 30 persons started together But only  work in

finished after 10 days. Find the number of additional men should betaken to do the work in given

time.

35. 20 men can do a work in 30 days; after how long time should 5 men leave so that the work may be

completed in 35 days?

36. 4 men can do a work in 5 days. But due to Nepal-Band, no work is done on the third day. How many

extra men should be added to complete the work in the fixed schedule?

37. A piece of work was to be completed in 30 days, A number of man employed on it, did only half of

the work in 20 days, Again 20 more men were added and the work was completed in specified time.

How many were employed at first?

38. If 10 pumps draw 430 liters of water is 10 minutes, how many liters will be drawn by 6 pumps in 20

minutes?

39. A tap can fill a cistern in 10 minutes while other can empty in 15 minutes. The cistern being empty

and if both the taps are opened together, in how many minutes will the cistern be full?

40. Two taps A and B fill a tank in 8 hours and 10 hours respectively when they are opened separately.

If both the taps are opened at the same time, how long will it take to fill the tank?

41.Three taps can fill a cistern in 36 minutes, 30 minutes and 20 minutes respectively. The cistern

being empty all the three taps are kept open and after 6 minutes the first tap is closed. In how many

more minutes will the cistern be full?

42.Two pipes A and B can fill a tank in 24 min and 32 min. respectively. If both pipes are opened

simultaneously, after how much time B should be closed so that the tank is full in 18 minutes?

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CHAPTER – TIME & WORK

43. A and B can fill a casern in 20 min. and 25 min. respectively. Both the pipes are kept open for 5 min.

and then the second pipe is turned off. In how many minutes more is the tank completely filled?

44. A and B can fill a tank in 2 hrs. and 4 hrs respectively. Both were opened at once but after sometime

the first was shut up and the tank was filled in 2 hrs more. When did the first pipe A shut up?

45. Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. A waste pipe C cans empty

the tank in 30 min. First A and B are opened. After 7 min, C is also opened. In how much time, the

tank is full?

46.A cistern has a leak which would empty it in 8 hours. A tap is turned on which admits 6 liters a

minute into the cistern and it is now emptied in 12 hours. How many liters does the cistern hold?

47. A and B can fill a cistern in 60 min, and 75 min. respectively. If all the pipes (including a waste -pipe

C) are opened together, the cistern is full in 50 minutes. Find the time required for C to empty the

full cistern.

48. Surav takes one day to do a work; Gaurav takes two days to do the same work. IF Gaurav takes 24

days to do 2/5 of the work, in how many days will both together finish the whole work?

49. Ram can do twice as much work as Shyam. If they together can complete a work in 24 days. In how

many days will each take to complete the work?

50. A takes twice as much time as B and thrice as much time as C to finish a piece of work. If they work

together they can finish the work in 4 days. Find the time each will take to finish the work?

51. A alone can do a certain work in the same time in which B and C together can do it. If A and B could

together do it in 10 days and C alone in 50 days, in what time can B alone do it?

52. A is thrice as good a workman as B and is therefore able to finish a piece of work in 60 days less

than B. Find the time in which they can do it working together.

53. A can do as much work in 2 days as B can do in 3 days and B can do as much work in 4 days as

C in 5 days. It takes 20 takes 20 days to complete the work if all of them work together. How long

would B take to do all the work by himself?

54. A takes twice as much time as B and thrice as much time as C to finish a piece of work. If they work

together they can finish the whole work in 5 days. Find the time each will take to finish the work

separately.

55.Promod and Ramchandra can do a pieces can do a piece of work in 30 and 20 days respectively

After they work together for some days, Ramchandra left. If promod completes the remaining

worked in 15 days how long had Ramchandra worked together.

56. A can do a work in 30 days and B in 40 days. They start working together but after 8 days B leaves.

In how many days A can finish the remaining work?

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CHAPTER – TIME & WORK

57.Mohan and Sohan together can finish a piece of work in 30 days. After they worked for 20 days.

Sohan left. If Mohan can finish the remaining work in 35 days, How long Sohan alone can finish the

whole work?

58. Ram and Shyam can do a piece of work in 20 days and 25 days respectively. They work to together

of 5 days and Shyam left the work. In how many days will Ram finish the remaining work?

59. A and B can do a piece of work in 24 days. A takes 40 days to complete the same work. After they

work for 8 days, A leaves, If B completes the remaining work, in how many days was the whole

work completed?

60. A can do a piece of work in 14 days. B can do the same work in 21 days. After they work for 7 days,

A leaves. If B completes the remaining work; in how many days was the whole work completed?

61. Ram and Shyam together can finish a piece of work in 8 days. Ram alone can finish the work in 12

days. If he leaves after working for 4 days alone. In how many days will Shyam finish the remaining

work alone?

62. A can do a piece of work in 18 days and B in 24 days. They both worked together and after some

days A left. If B finished the remaining work in 3 days, how long did A work together?

63. A can do a piece of work in 36 days and B in 54 days. They both worked together and after some

days B left. If A finished the remaining work in 11 days, how long did B work together?

64.C and D can finish a piece of work in 20 days. After they work for 12 days D left. If C alone can

finish teh remaining work in 40 days, how long would D alone take to do whole work?

65. A and B can finish a piece of work in 40 days. After they worked for 25 days. B left. If A can finish

the remaining work in 45 days. How long B alone can finish the whole work?

66. A and B can do a work in 12 days, B and C in 15 days C and A in 20 days. In how many days will

they finish it together?

67.A can do a work in 20 days and B in 12 days. B worked for 9 days and left. In what time will A

complete the remaining work?

68. A and B can do a work in 24 and 16 days respectively. With the help of C, they can finish it in 8days,

Find in what time will A and C together do it?

69. Aviral and Abhiyan can do a work in 25 and 20 days respectively. Aviral started the work and was

joined by Abhiyan after 10 days. How long was the work last for?

70. 12 men can dig a field in 8 days. Three days after they started to work together, 3 extra men joined

them, Find the time taken by all of them to complete the remaining work.

71. A and B can together do a piece of work in 30 days. They worked for it for 20 days and then B left.

The remaining work was done by A alone in 20 more days. Find the time required for A to do the

whole work alone.

72. A and B can do a work in 45 and 40 days respectively. They started the work together, but A leaves

after some days and B finished the remaining work in 23 days. After how long time did A leave?

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CHAPTER – TIME & WORK

73. A and B can do a work in 20 and 30 days respectively. They start to work together but A leaves 5

days before the completion. In how many days to do the whole work?

74. A and B can do a work in 72 days. If A works alone for the last 20 days, it is completed in 80 days.

How many days will be required for B to do the whole work alone?

75. To do a work A would take twice as long as B and C together. B takes 3 times as along as C and A

together. All of them together can do it in 12 days. Find in what time A, B and C alone can do it?

76. A can do as much work in 2 days as B in 3 days and B can do as much work in 4 days as C in 5

days. If all of them can do a work in 20 days, how long would each take to do the work separately?

77. While A does  of a work. B does  and while B does, C does .In how many hours will C finish a work

which can be finished by A in 20 hours?

78. A, B and C can do a work in 20, 30 and 40 days respectively. All of them worked together but A left

after 5 days and C left in 10 days before its completion. In how many days required doing the whole

work?

79. A, B and C can do work in 10, 20 and 30 days, A left. C left it some days before completion. If total

time taken for the whole work is days. For how many days did C work?

80.A, B and C can do a work 50, 70 and 90 days respectively. Only A started the work and B joined

after 10 days, C joined after 5 days from this and all of them continued till it was over. In how many

total days taken for the whole work.

81. A, B and C can do a work in 60, 80 and 100 days respectively. A and B started the work. After 10

days A left but C joined. After 20 days from the join of C, B left but A rejoined. In how many total

days to do the whole work?

82. A, B and C together can do a work in 6 days, which B alone can do in 16 days and B and C together

in 10 days In how many days can A and B together do it?

83.A and B can do a work in 10 days, B and C in 15 days, A and C in 25 days. They all work at it

together for 4 days, A then leaves and B and C go on together for 5 days more and then B leaves,

how many more days will C complete the work?

84. A can do work in 20 days, A and B together in  days. A works alone for 8 days, A and C together for

6 days, and B finishes it in 3 days. Find in what time B and C together could do it?

85. A can do a work in 8 days, which B can destroy in 3 days, A has worked 6 days, during the last 2 of

which B has been destroyed. How many days must A now work alone in order to complete his task?

86. A and B can do a work in 8 days and 7 days respectively. They work alternately for a day. If A starts

the work, find in how many total days completed to do work?

87. 25 men are employed to do a work which they could finish it in 20 days but there is a drop off by 5

men at the end of every 10 days. In what time will the work be completed?

88. A cistern would be filled by a tap A in 3 hours, or emptied by a tap B in 3 hours. The cistern being

half full A is turned on at 8:00 Am and B at 8:45 Am Find when the cistern will again be half full?

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CHAPTER – TIME & WORK

89.A is twice and B is just as good a workman as C. The three work together for two days, and then

A works alone for half a day and B for a day. How long would it have taken A and C together to

complete as much as the three will have thus performed?

1. 5days

2. 17days

3. 20 days

4.    

5. 18 days

6. 4days

7. 16 days

8. 17 days

9. 15 days

10. 17days

11. 9days l

12. 4days

13. 7days

14. 8 days

15. 6 days         

16. 15 days 

17. 15 days

18. 6 days

19. 8

20. 75

21. 150

22. 4

23. 100

24. 15

25. 16

26. 4

27. 60

28. 24

29. 60

30. 4

31. 20

32. 20

33. 32

34. 10

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35. 15 days

36. 2

37. 32

Answers

44. After 40 min.

45. 46 min   

46. 2880 lit.

47. 100min.

48. 20 days

49. 36 days, 72 days

50. 24 days, 12 days, 8 days

51. 25 days

52. 22days

53. 66 days   

54. 30 days, 15 days, 10 days

55. 6 days

56. 16 days

57. 42 days

58. 11 days

59. 48 days

60. 10days

61. 16 days

62. 9 days

63. 15 days

64. 25 days

65. 60 days

66. 10 days

67. 5 days

68. 16 days

69. 16days

70. 4 days

71. 60 days

72. After 9  days

73. 15 days

74. 180 days

75. 36 days, 48 days, 28days

76. 44 days, 66 days, 82days

77. 32 hours.

78. 17 days

79. 4days

86. 7 days

87. 23days

88. 1:15 pm 


89. 3days

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