Slc Cm Model Question Bank Time and Work 1

7/24/2019 Slc Cm Model Question Bank Time and Work 1

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Time and work:

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 Aand 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 manydays 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 startedthe work together but B leaves after 5 days. In how many days is the whole workcompleted ?

5.

Mohan and Sohan can do a piece of work in 12 days. Mohan alone can do it in 18days. Both started the work together, but Mohan left the work after 6 days. Howlong 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 dayswhen both start to work together A leaves and B completes the remaining work in6days. 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 alonein 72 days. After working together for 6 days. A is fallen ill. How long will B and Ctogether 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 daysafter they started to work together B leaves. 4 days after B left, A leaves and Ccompletes 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 ittogether for some days then A leaves 5 days before completion the work. How manydays 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 in10 days before its completion. Find in how many days the work might have beenfinished.

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 daysbefore 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 daysThree 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 915days, 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 completethe remaining work ?

14. If 12 labours can do a piece of work in 15 days working 8 hours a day, howmany days will 10 labours take to finish half of it working 9 hours a day ?


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15.

20 men can do a piece of work in 24 days. After working for few days, 4 men areadded and the work was finished 3 days earlier. After how many days were 4 menadded ?

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

employed and they finished38of 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 dayswere those 8 men added ?

19. 6 labours can finish a work in 120 days working 7 hours daily. If the work is tobe 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 45men. He finds that after 200 days of working only 4 kilometers of canal have beencompleted. 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. Howmany 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 only13of 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 aday. How many labours should be decreased to construct the same road in 80 daysworking 10 hours a day ?

24. 55 men can finish a piece of work in 42 days. How many additional men must beadded 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 only14of 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 Atthe end of 8 days, only one fifth of the work was completed. How many extra menmust 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 thework. They finished half of the work in 20 days. When 60 more men were added thework was finished on the specified time. How many men were employed in thebeginning ?

28.A piece of work was to be completed in 30 days. A number of men employed uponit did only half the work in 18 days. 12 more men were added and the work wascompleted in the specified time. How many men were employed at first ?


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29.

A contractor had to finish a work in 60 days and he employed 60 laboures to dothe work. They finished half of the work in 40 days. How many more labourersshould 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 additionalnumber of men are taken to finish the work in 21 days from the beginning. Find thenumber of additional men.

31.

A piece of work has to be completed in 30 days. A number of men employedin it and did only half of the work in 20 days. 20 more men were added and workwas 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 only12of 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 dothe 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

only59work 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 fixedschedule ?

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 workwas 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 bedrawn by 6 pumps in 20 minutes ?

39.A tap can fill a cistern in 10 minutes while other can empty in 15 minutes. Thecistern being empty and if both the taps are opened together, in how many minuteswill the cistern be full ?

40.

Two taps A and B fill a tank in 8 hours and 10 hours respectively when they areopened separately. If both the taps are opened at the same time, how long will ittake 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 thefirst 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 pipesare opened simultaneously, after how much time B should be closed so that the tankis full in 18 minutes ?


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43.

A and B can fill a casern in 20 min. and 25 min. respectively. Both the pipes arekept open for 5 min. and then the second pipe is turned off. In how many minutesmore is the tank completely filled ?

44.A and B can fill a tank in 2 hrs. and 4 hrs respectively. Both were opened at oncebut after sometime the first was shut up and the tank was filled in 2 hrs more. Whendid 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 pipeC cans empty the tank in 30 min. First A and B are opened. After 7 min, C is alsoopened. 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 whichadmits 6 liters a minute into the cistern and it is now emptied in 12 hours. Howmany 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 togetherfinish the whole work ?

49. Ram can do twice as much work as Shyam. If they together can complete a workin 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 ofwork. If they work together they can finish the work in 4 days. Find the time eachwill take to finish the work ?

51. A alone can do a certain work in the same time in which B and C together can doit. If A and B could together do it in 10 days and C alone in 50 days, in what timecan B alone do it ?

52.

A is thrice as good a workman as B and is therefore able to finish a piece of workin 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 muchwork in 4 days as C in 5 days. It takes 20 takes 20 days to complete the work if allof 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 ofwork. 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. Ifpromod completes the remaining worked in 15 days how long had Ramchandraworked together.

56. A can do a work in 30 days and B in 40 days. They start working together butafter 8 days B leaves. In how many days A can finish the remaining work ?

57. Mohan and Sohan together can finish a piece of work in 30 days. After theyworked for 20 days. Sohan left. If Mohan can finish the remaining work in 35 days,

How long Sohan alone can finish the whole work ?


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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 willRam finish the remaining work ?

59. A and B can do a piece of work in 24 days. A takes 40 days to complete thesame 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. Afterthey work for 7 days, A leaves. If B completes the remaining work; in how manydays was the whole work completed ?

61. Ram and Shyam together can finish a piece of work in 8 days. Ram alone canfinish the work in 12 days. If he leaves after working for 4 days alone. In how manydays 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 workedtogether and after some days A left. If B finished the remaining work in 3 days, howlong did A work together ?

63.

A can do a piece of work in 36 days and B in 54 days. They both workedtogether 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 todo whole work ?

65. A and B can finish a piece of work in 40 days. After they worked for 25 days. Bleft. If A can finish the remaining work in 45 days. How long B alone can finish thewhole work ?

66.

A and B can do a work in 12 days, B and C in 15 days C and A in 20 days. Inhow 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. Inwhat 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, theycan 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 startedthe 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 theremaining work.

71. A and B can together do a piece of work in 30 days. They worked for it for 20days 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 worktogether, but A leaves after some days and B finished the remaining work in 23days. After how long time did A leave ?

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 thewhole work ?


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74.

A and B can do a work in 72 days. If A works alone for the last 20 days, it iscompleted in 80 days. How many days will be required for B to do the whole workalone ?

75. To do a work A would take twice as long as B and C together. B takes 3 times asalong as C and A together. All of them together can do it in 12 days. Find in whattime 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 4days as C in 5 days. If all of them can do a work in 20 days, how long would eachtake to do the work separately ?

77. While A does13 of a work. B does

14 and while B does

15, C does

16.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 howmany 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 915days. 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 thework and B joined after 10 days, C joined after 5 days from this and all of themcontinued 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 startedthe work. After 10 days A left but C joined. After 20 days from the join of C, B leftbut 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 daysand 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. Theyall work at it together for 4 days, A then leaves and B and C go on together for 5days 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 1119 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 Band 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 workalone in order to complete his task ?

86. A and B can do a work in 8 days and 7 days respectively. They work alternatelyfor 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 butthere is a drop off by 5 men at the end of every 10 days. In what time will the workbe completed ?


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88. A cistern would be filled by a tap A in 312 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 Findwhen the cistern will again be half full ?

89. A is twice and B is just as good a workman as C. The three work together fortwo days, and then A works alone for half a day and B for a day. How long would ithave taken A and C together to complete as much as the three will have thusperformed ?

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Slc Cm Model Question Bank Time and Work 1