SSC Mathematics Topic Wise Solved Papers – Time and Work

SSC Mathematics Topic Wise Solved Papers – Time and Work

SSC Mathematics Previous Year Question Papers English Reasoning General Awareness

1. If 5 men or 7 women can earn Rs 5,250 per day, how much would 7 men and 13 women earn per day ? (SSC CGL 1st Sit. 2010)
(a) Rs 11,600
(b) Rs 11,700
(c) Rs 16,100
(d) Rs 17,100

2 If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work ? (SSC CGL 1st Sit. 2010)
(a) 60
(b) 45
(c) 40
(d) 30

3. A can complete a piece of work in 18 days, B in 20 days and C in 30 days, B and C together start the work and are forced to leave after 2 days. The time taken by A alone to complete the remaining work is (SSC CGL 1st Sit. 2010)
(a) 10 days
(b) 12 days
(c) 15 days
(d) 16 days

4. A man compete 1/3 of a work in 5 days and B, 2/5 of the work in 10 days. In how many days both A and B together can complete the work ? (SSC CGL 2nd Sit. 2010)
(a) 10
(b) 9 3/8
(c) 8 4/5
(d) 7 1/2

5.7 men can complete a piece of work in 12 days. How many additional men will be required to complete-double the work in 8 days ? (SSC CGL 2nd Sit. 2010)
(a) 28
(b) 21
(c) 14
(d) 7

6. One pipe fills a water tank three times faster than another pipe, if the two pipes together can fill the empty tank in 36 minutes, then how much time will the slower pipe alone take to fill the tank ? (SSC CGL 2nd Sit. 2010)
(a) 1 hour 21 minutes
(b) 1 hour 48 minutes
(c) 2 hours
(d) 2 hour 24 minutes

7. A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work? (SSC CGL 1st Sit. 2011)
(a) 6 days
(b) 12 days
(c) 4 days
(d) 8 days

8. A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in (SSC CGL 1st Sit. 2011)
(a) 4 days
(b) 5 days
(c) 6 days
(d) 7 days

9. X is 3 times as fast as Y and is able to complete the work in 40 days less than Y. Then the time in which they can complete the work together is (SSC CGL 1st Sit. 2011)
(a) 15 days
(b) 10 days
(c) 7 1/2 days
(d) 5 days

10. ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is (SSC CGL 2nd Sit. 2011)
(a) 6
(b) 10
(c) 12
(d) 15

11. A work can be completed by P and Q in 12 days, Q and R in 15 days, R and P in 20 days. In how many days P alone can finish the work? (SSC CGL 2nd Sit. 2011)
(a) 10
(b) 20
(c) 30
(d) 60

12. 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. The time (in days) in which they can do it working together is (SSC CGL 2nd Sit. 2011)
(a) 22
(b) 22 1/2
(c) 23
(d) 23 1/4

13. Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours pipe A is closed, then the other pipe will fill the tank in (SSC CGL 1st Sit. 2012)
(a) 6 hours
(b) 3 1/2 hours
(c) 4 hours
(d) 2 1/2 hours

14. If 12 men or 18 women can reap a field in 14 days, then working at the same rate, 8 men and 16 women can reap the same field in: (SSC CGL 2012)
(a) 9 days
(b) 5 days
(c) 7 days
(d) 8 days

15. Two men A and B started a job in which A was thrice as good as B and therefore took 60 days less than B to finish the job. How many days will they take to finish the job, if they start working together? (SSC CGL 1st Sit. 2012)
(a) 15 days
(b) 20 days
(c) 22 1/2 days
(d) 25 days

16.X and Y can do piece of work in 30 days. They work together for 6 days and then X quits and Y finishes the work in 32 more days. In how many days can Y do the piece of work alone? (SSC CGL 2nd Sit. 2012)
(a) 30 days
(b) 32 days
(c) 34 days
(d) 40 days

17.If 10 men or 18 boys can do a work in 15 days, then the number of days required by 15 men and 33 boys to do twice the work is (SSC Sub. Ins. 2012)
(a) 4 1/2
(b) 8
(c) 9
(d) 36

18. In a fort, there was sufficient food for 200 soldiers for 31 days. After 27 days, 120 soldiers left the fort. For how many extra days will be rest of the food last for the remaining soldiers? (SSC Sub. Ins. 2012)
(a) 10 days
(b) 6 days
(c) 4 days
(d) 12 days

19. A man do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A man finish the remaining work in: (SSC CHSL 2012)
(a) 5 days
(b) 7 days
(c) 11 days
(d) 3 days

20. A is thrice as good a workman as B and takes 60 days less than B for doing a job. The time in which they can do it together is: (SSC CHSL 2012)
(a) 15 days
(b) 30 days
(c) 22 1/2 days
(d) 60 days

21.Two pipes A and B can fill a tank in 6 hours and 4 hours 30. respectively. If they are opened on alternate hours and if pipe A is opened first, then the tank shall be full in (SSC Multitasking 2013)
(a) 4 1/2 hrs
(b) 5 hrs
(c) 5 1/2 hrs
(d) 6 hrs

22. A, B and C can do a piece of work in 10, 12 and 15 days respectively. A leaves 5 days before the completion of the work and B leaves 2 days after A. The whole work lasts for (SSC Multitasking 2013)
(a) 7 days
(b) 6 days 32.
(c) 12 days
(d) 13 days

23. A can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is: (SSC Sub. Ins. 2013)
(a) 18
(b) 21
(c) 30
(d) 12

24. Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm in diameter. How long it lake to fill up 33 a conical vessel whose diameter at the base is 30 cm and depth 24 cm? (SSC Sub. Ins. 2013)
(a) 28 minutes 48 seconds
(b) 51 minutes 12 seconds
(c) 51 minutes 24 seconds
(d) 28 minutes 36 seconds

25. 3 men and 7 women can do a job in 5 days, while 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together, at the same rate as before, to finish the same job is: (SSC Sub. Ins. 2013)
(a) 30
(b) 36
(c) 40
(d) 20 35

26. A can do a work in 20 days and B can do the same work in 30 days. In how many days can A and B together do the work ? (SSC CHSL 2013)
(a) 15
(b) 16
(c) 10
(d) 12

27.If 10 men or 20 women or 40 children can do a piece of work in 7 months, then 5 men, 5 women and 5 children together can do half of the work in: (SSCCGL 1st Sit. 2013)
(a) 8 months
(b) 6 months
(c) 4 months
(d) 5 months

28.A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. The number of additional men that should be appointed so that the whole work will be finished in time is: (SSC CGL 1st Sit. 2013)
(a) 50
(b) 75
(c) 100
(d) 125

29.A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days. A alone can finish the remaining work ? (SSC CGL 1st Sit. 2013)
(a) 8
(b) 6
(c) 5 1/2
(d) 5

30.A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C they can finish it in 5 days. If they are paid Rs 960 for the whole work how much money A gets? (SSC CGL 2nd Sit. 2013)
(a) Rs 480
(b) Rs 240
(c) Rs 320
(d) Rs 400

31.Ronald and Elan are working on an Assignment. Ronald takes 6 hours to type 32 pages on a computer, While Elan takes 5 hours to type 40 pages. How much time will they take working together on two different computers to type an assignment of 110 pages? (SSC CGL 2nd Sit. 2013)
(a) 7 hrs. 30 min.
(b) 8 hrs.
(c) 8 hrs. 15 min.
(d) 8 hrs. 25 min.

32.One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in (SSC CGL 2nd Sit. 2013)
(a) 39 1/11 hours
(b) 42 7/11 hours
(c) 43 7/11 hours
(d) 44 hours

33.A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together can complete it in (SSC CGL 2013)
(a) 8 days
(b) 10 days
(c) 12 days
(d) 6 days

34.A and B together can complete a work in 3 days. They start together. But, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in (SSC CGL 2013)
(a) 6 days
(b) 8 days
(c) 10 days
(d) 4 days

35.A does 20% less work than B. If A can complete a piece of work in 7 1/2 hours, then B can do it in (SSC CGL 2013)
(a) 6 hours
(c) 10 hours
(b) 8 hours
(d) 4 hours

36. A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in (SSC CGL 1st Sit. 2013)
(a) 15 days
(b) 20 days
(c) 25 days
(d) 30 days

37. A can do a piece of work in 10 days. B can do the same work in 15 days. How long would both of them take to do the same work? (SSC CGL 1st Sit. 2013)
(a) 2 days
(b) 4 days
(c) 6 days
(d) 8 days

38. 12 men construct 1.5 km of road in 7 days. 28 men will construct 12 km of roads in (SSC CGL 1st Sit. 2013)
(a) 20 days
(b) 24 days
(c) 28 days
(d) 38 days

39. A piece of work can be done by Ramand Shyam in 12 days, by Shyam and Hari in 15 days and by Hari and Ram in 20 days. Ram alone will complete the work in (SSC CGL 1st Sit. 2013)
(a) 30 days
(b) 32 days
(c) 36 days
(d) 42 days

40. 3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work? (SSC CGL 1st Sit. 2013)
(a) 4 days
(b) 5 days
(c) 6 days
(d) 7 days

41. A and B can-do a job in 12 days. B and C in 15 days and C and A in 20 days. How long would A take to do that work ? (SSC CGL 1st Sit. 2013)
(a) 20 days
(b) 60 days
(c) 30 days
(d) 40 days

42. Raju can do a piece of work in 20 days, while Ram can do it in 30 days. If both of them work at it together, then the number of days in which they will be able to finish the work is  (SSC Multitasking 2014)
(a) 12 days
(b) 10 days
(c) 50 days
(d) 25 days

43. A is twice as good a workman as B and together they finish a piece of work in 20 days. In how many days will A alone finish the work? (SSC Multitasking 2014)
(a) 30 days
(b) 25 days
(c) 40 days
(d) 35 days

44. A can do 7/8 of work in 28 days, B can do 5/6 of the same work in 20 days. The number of days they will take to complete if they do it together is (SSC Sub. Ins. 2014)
(a) 15 3/7 days
(b) 17 3/5 days
(c) 14 5/7 days
(d) 13 5/7 days

45.Seventy-five men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ? (SSC Sub. Ins. 2014)
(a) 300
(b) 325
(c) 350
(d) 375

46. A, B and C together can do a piece of work in 40 days. After working with B and C for 16 days, A leaves and then B and C complete the remaining work in 40 days more. A alone could do the work in (SSC CGL 2014)
(a) 80 days
(b) 90 days
(c) 100 days
(d) 120 days

47. Three pipes A, B and C can fill a tank in 6 hours. After working it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is (SSC CGL 2014)
(a) 10
(b) 12
(c) 14
(d) 16

48. Pratibha is thrice as efficient as Sonia and is therefore able to finish a piece of work in 60 days less than Sonia. Pratibha and Sonia can individually complete the work respectively in (SSC CGL 2014)
(a) 30,60 days
(b) 60,90 days
(c) 30,90 days
(d) 40,120 days

49. A and B working separately can do a piece of work in 9 and 15 days respectively. If they work for a day alternately, with A beginning, then the work will completed in (SSC CHSL 2014)
(a) 10 days
(b) 11 days
(c) 9 days
(d) 12 days

50. Two pipes A and B can fill a tank in 36 min. and 45 min respectively. Another pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in (SSC CHSL 2014)
(a) 39 min.
(b) 46 min.
(c) 40 min.
(d) 45 min.

51. 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 (SSC CGL 1st Sit. 2015)
(a) 12
(b) 9
(c) 15
(d) 10

52. A pipe can fill a tank in x hours and another can empty it in y hours. They can together fill it in (y > x) (SSC CGL 1st Sit. 2015)
(a) x-y
(b) y-x
(c) xy/ x-y
(d) xy/y-x

53.A tap can empty a tank in 30 minutes. A second tap can empty it in 45 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank? (SSC CGL 1st Sit. 2015)
(a) 18 minutes
(b) 14 minutes
(c) 15 minutes
(d) 30 minutes

54. A’s 2 days work is equal to B’s 3 days work. If A can complete the work in 8 days then to complete the work B will take: (SSC CGL 1st Sit. 2015)
(a) 14 days
(b) 15 days
(c) 16 days
(d) 12 days

55. 4 men and 6 women complete a work in 8 days, 2 men and 9 women also complete in 8 days. The number of days 18 women complete the work is: (SSC CGL 1st Sit. 2015)
(a) 4 2/3 days
(b) 5 2/3 days
(c) 4 1/3 days
(d) 5 1/3 days

56. If 4 men or 8 women can do a piece of work in 15 days, in how many days can 6 men and 12 women do the same piece of work? (SSC CGL 1st Sit. 2015)
(a) 5 days
(b) 20 days
(c) 15 days
(d) 30 days

57. 20 men can do a piece of work in 18 days. They worked together for 3 days, then 5 men joined them. In how many more days is the work completed ? (SSC Sub. Ins. 2015)
(a) 12
(b) 14
(c) 15
(d) 13

58. 12 monkeys can eat 12 bananas in 12 minutes. In how many minutes can 4 monkeys eat 4 bananas ? (SSC Sub. Ins. 2015)
(a) 12
(b) 10
(c) 4
(d) 8

59. A contractor was engaged to construct a road in 16 days. After working for 12 days with 20 labors it was found that only 5/8th of the road had been constructed. To complete the work in stipulated time the number of extra labors required is: (SSC CHSL 2015)
(a) 12
(b) 10
(c) 18
(d) 16

60. If 20 women can lay a road of length 100m in 10 days. 10 women can lay the same road of length 50 m in : (SSC CHSL 2015)
(a) 20 days
(b) 10 days
(c) 5 days
(d) 15 days

61. A man finish a work in 7 days. B can finish the same work in 9 days . The days required to finish the work by both of them together. (SSC CGL 1st Sit. 2016)
(a)1 15/ 16
(b)2 15/16
(c)3 15/16
(d)4 15/16

62.A can do 1/3rd of a work in 5 days and B can do 2/5 th of this work in 10 days. Both A and B, together can do the work in (SSC CGL 1st Sit. 2016)
(a)7 3/8 days
(b)8 4/5 days
(c)9 3/8 days
(d) 10 days

63. A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is (SSC CGL 1st Sit. 2016)
(a) 20 days
(b) 21 days
(c) 22 days
(d) 24 days

64. A,B and C contract a work for Rs 440. Together A and B are to do 9/11 of the work. The share of C should be: (SSC CGL 1st Sit. 2016)
(a) 75
(b) 90
(c) 100
(d) 80

65. A and B can separately finish a piece of work in 20 days and 15 days respectively. They worked together for 6 days, after which B was replaced by C. If the work was finished in next 4 days, then the number of days in which C alone could do the work is (SSCSub.Ins.2016)
(a) 50 days
(b) 30 days
(c) 40 days
(d) 60 days

66. If 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days, then 10 women complete it in (SSC Sub. Ins. 2016)
(a) 40 days
(b) 45 days
(c) 35 days
(d) 50 days

67. A, B and C can complete a work in 20, 24 and 30 days respectively. All three of them starts together but after 4 days A leaves the job and B left the job 6 days before the work was completed. C completed the remaining work alone. In how many days was the total work completed? (SSC CGL 2017)
(a) 10
(b) 12
(c) 14
(d) 16

68. Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs ) of Raman? (SSC CGL 2017)
(a) 1260
(b) 700
(c) 900
(d) 870

69. Apiece of work was finished by A, B, and C together. A and B together finished 60% of the work and B and C together finished 70% of work. Who among the three is the most efficient? (SSC CGL 2017)
(a) A
(b) B
(c) C
(d) A or B

70. A can do a work in 8 days, B can do the same work in 10 days and C can do the same work in 12 days. If all three of them do the same work together and they are paid Rs 7400, then what is the share (in Rs ) of B? (SSC CGL 2017)
(a) 2600
(b) 3000
(c) 2400
(d) 2000

71. A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 4 days. How long B alone would take to do the whole work? (SSC CHSL 2017)
(a) 12.5 days
(b) 100 days
(c) 22.5 days
(d) 35 days

72. A can do a piece of work in 5 days and B in 4 days. How long will they take to do the same work when working together? (SSC MTS 2017)
(a)3 2/9
(b)2 2/9
(c)4 1/3
(d)9

73. A certain number of men complete a piece of work in 60 days. If there were 8 men more, the work can be finished in 10 days less. The number of men originally is: (SSC MTS 2017)
(a) 32
(b) 40
(c) 36
(d) 30

74. P is four times as efficient as Q.P can complete a work in 45 days less than Q. If both of them work together, then in how many days the work will be completed? (SSC Sub. Ins. 2017)
(a) 10
(b) 12
(c) 15
(d) 30

75. Two inlet pipes can fill a cistern in 10 and 12 hours respectively and an outlet pipe can empty 80 gallons of water per hour. All the three pipes working together can fill the empty cistern in 20 hours. What is the capacity (in gallons) of the tank? (SSC Sub. Ins. 2017)
(a) 360
(b) 300
(c) 600
(d) 900

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