Struggling with Time and Work Questions for CMAT & CUET? Practice with Real Exam Questions!

Mastering Time and Work for CUET and CMAT Exams

In the competitive arena of entrance examinations such as CMAT and CUET, a strong grasp of the concepts of time and work is essential for aspiring candidates. This topic not only constitutes a significant portion of the quantitative aptitude section but also cultivates analytical skills that are crucial for effective decision-making in various professional scenarios. Understanding time and work principles enables students to efficiently solve different types of problems, thereby enhancing their confidence and performance in the exams. In this blog, we will explore a series of practice questions aimed at refining your skills in time and work calculations.

Practice Questions for Time and Work

Whether you are preparing for CMAT, CUET, or any other competitive exam, these questions will equip you with the necessary practice to excel. Let’s dive into the intricacies of time and work, ensuring you are well-prepared to tackle this important topic with confidence.

Directions for questions 1 to 80:  Select the correct alternative from the given choices.

1. A can do a piece of work in 12 days and B can do the same work in 18 days. If A works for three days, then in how many days will the remaining work be completed by B?

a. 13 ½ b. 9 c. 16 ½ d. 12

2. Yogit and Ranjit can do a work in 10 days and 15 days respectively. They both work for three days and then Yogit leaves. In how many days will the remaining work be completed by Ranjit?

a.6 b.8 c. 9 d. 7 ½ 

3. P, Q and R together can complete a work in 18 days. They work together for 2 days and then P leaves. If their rate of work is equal, in how many days will the remaining work be completed?

a.30 b. 36 c. 24 d. 21

4. The ratio of the capacity to do a work of A and B is 3:2. If they together can complete a work in 18 days, then how long does A take to complete the work alone?

a.45 b. 30 c. 24 d. 40

5. Four men can complete a work in 12 days. After three men worked for six days, the fourth man joined them. In how many more days can they complete the work?

a.8 ½ b. 7 ½ c. 11 ½ d. none of these

6. There are 60 volumes of a literary work. Suresh can read five volumes in one week and Mohan can read seven volumes in one week. If they start simultaneously and read separately, then in how many weeks will the entire literary work be read?

a.4 b.3 c.5 d.2

7. A student can learn a certain number of lessons in 28 days, studying 3 hours a day. If he increases his study time by one hour a day, in how many days can he complete the same number of lessons?

a.24 b.20 c.18 d.21

8. In a school, one-third of the mathematics syllabus of tenth class is completed in six months, with a one-hour period every day. If the whole syllabus has to be completed in nine months, then what should be the duration of the period?(in hours)

a.2 b.3 c.4 d.2 ½ 

9. A pipe ca fill an empty tank is 12 minutes and another pipe can empty half the tank in 10 minutes. If both of them are opened simultaneously when the tank is empty, then how long would it take for the tank be filled to half its capacity?(in minutes)

a. 60 b.30 c.15 d.12

10. Three workers transfer a tool weighing 120 kg in 12 seconds. How many men are required to transfer it in 9 seconds?

a.4 b.5 c.6 d.8

11. A student can solve 75 question in one hour. Another student can solve 100 questions in two hours. In how many minutes do they together solve 250 questions?

a.90 b.75 c.100 d.120

12. The ratio of the number of days in which P, Q and R can complete a work is 2:3:5. If they earn an amount of Rs. 3100 for completing then work, them what is P’s share?(in Rs)

a.620 b.930 c.1500 d.1000

13. A pipe can fill an empty tank in either hours. Another pipe can empty the full tank in four more hours. If both of them are opened simultaneously, then how long would it take to fill an empty tank?(in hours)

a.12 b.24 c.18 d.30

14. A can dig a pit working eight hours a day. B can fill it working ten hours a day. If both of them start the work at the same time, after how many days, will here be a fully dug pit available for B to fill.

a. 50 b.25 c.20 d.40

15. Raju can wash a car in 45 minutes and he works for six hours a day. How many cars can he was in three days?

a.24 b.18 c.21 d.15

16. Ten men can dig a 25 feet deep well in eight days. After two days a fifth of the portion dug is filled due to rain. How many more days will the same men take in dig it completely?

a.1/5 b.1/4 c.2/5 d.3/4

17. Pipe A fills an empty tank in six hours and pipe B empties a full tank in eight hours. If the tank is empty when pipe A is opened at 9:00 am and pipe B is opened at 11:00 am then at what time is the tank filled?

a.6 pm b.3 am c. 3 pm d. 6 am

18. A is twice as fast as B and B is thrice as fact as C. If A earns Rs. 600 for a work, how much is earned by all the three men working together for completing the work?(in Rs)

a.1600 b.1000 c.270 d.1200

19. A can do a pipe of work in 16 days. He works for four days and then B joins, who alone can complete the same work is 32 days. If A gets Rs. 1200, then how much does B earn?(in Rs)

a.800 b.600 c.500 d.400

20. Vasu and Gopi work individualy at 6 hours, and 8 hours a day respectively.. if their capacity to do work is same, how many days more than Gopi will Vasu alone take to do the work, given that Gopi alone can complete the work in 3 days?

a.2 b.3 c.1 d.4

21. A can build wall measuring 20ft c 3ft x 15ft in 6 days. B can build a wall measuring 30ft x 4ft x 10ft in 5 days. What is the ratio of work done by A and B in one day?

a.8:5 b.5:6 c.6:7 d.7:5

22. Four men and eight boys can compete a work in 12 days. In how many days can sixteen boys and eight men complete twice the work?

a.9 b.12 c.8 d.10

23. Ten men or twenty women can complete a work in 4 days. As soon as ten men and twenty women start the work, five men left and five more women joined. In how many days is the work now completed?

a.1 112 b.318 c.1115 d.513

24. A can do a piece of work in 9 days. B is 50% more efficient then A. Find the number of days taken by A and B to complete the work.

a.335 b.315 c.3 ½ d. none of these

25. Two persons A and B can complete a work in 35 days. A alone can complete the same work in 60 days. Find the number of days in which B alone can complete the job.

a. 72 b.68 c.80 d. none of these

26. A is twice as good a workman as B and together they complete the work in 15 days. In how many days can B alone complete the work?(in days)

a.45 b. 40 c. 35 d. none of these

27. x men can do a piece of work in 8 days. The same work can be done by (x+4) men in 6 days. Find the value of x.

a.10 b.12 c.14 d. none of these

28. A and B can do a work in 72 days, B and C in 120 days, A and C in 90 days. In how many days can A alone do the work?

a.80 b.100 c.120 d. none of these

29. A can do a work in 14 days, B can do the same in 21 days, they began the work together but 3 days before the completion of work A leaves. In how many days was the work completed?

a.1015 b.11 ½ c. 1334 d. none of these

30. A can do a piece of work in 18 days. He worked for 12 days and left. B finished the remaining work in 8 days. In how many days can B alone complete the work?

a.21 b.22 c.23 d. none of these

31. 400 women working 9 hours a day can complete 1/4^th of a work in 10 days. Find the number of additional women required to finish the remaining work in 20 days working 8 hours a day.

a.250 b.275 c.300 d. none of these

32. A garrison had enough food for 52 days. After 20 days a reinforcement of 400 men arrives and the food lasts for 24 days. How many men were there in the garrison originally?

a.1200 b.1000 c.1500 d. none of these

33. A can do a work in 20 days and B in 25 days. They work together for 5 days and then B leaves. In how many more days will A finish the work?(in days)

a.9 b.10 c.11 d. none of these

34. Mohan and Sohan working separately can dig a trench in 10 and 12 days respectively. If they work on alternate days starting with Mohan, in how many days will the trench be dug?(in days)

a. 10 ½ b. 1056 c. 10 34 d. none of these

35. 20 men can plant 50 saplings in 8 hours. In how many hours can 15 men plant 80 saplings?

a.17 115 b. 12 711 c. 20 d. none of these

36. A can do a work in 6 hours while B and C can do the same work individually in 8 hours and 12 hours respectively. How long will they take to complete the work together?(in hours)

a.2 ½ b. 2 34 c. 2 d. none of these

37. A can do a work in 16 days and B alone can do it 24 days. They work together for 8 days and stopped. The remaining work is completed by C in 6 days. In how many days can C alone complete the work?

a.30 b. 34 c.36 d. none of these

38. A can do a work in 20 days and B alone can do it in 10 days. Both worked together and were paid Rs. 1800. The share of B is(in Rs.)

a.1200 b.1500 c.900 d. none of these

39. Two pipes A and B can fill a cistern in 24 and 36 minutes respectively. If the tank is empty and they are opened simultaneously how long will they take to fill the cistern?(in minutes)

a.14 b.14.2 c.14.4 d. none of these

40. A pipe can empty a full tank in 30 hours. A leak in the bottom can empty a full tank in 15 hours. If both are working how long will it take for the tank to become fully empty? Assume it is completely full.(in hours)

a.12 b. 10 c.15 d. none of these

41. Pipes A and B can fill an empty tank in 12 and 18 minutes respectively. Pipe C can empty a full tank in 36 minutes. If the tank is empty and all the three pipes are opened, how long will it take for the tank to be full?(in minutes)

a.9 b.12 c.15 d. none of these

42. A and B are two pipes which can fill an empty tank in 36 and 48 minutes respectively. When the tank is empty, both A and B are opened simultaneously. After some time B is closed and the tank is filled in 24 minutes. For how long much time was pipe B open?(in minutes)

a.6 b.7 c.9 d. none of these

43. A tank is filled by a pipe in 9 hours. But because of a leak in the bottom it takes 3 hours more to be filled. How long will it take for the leak to empty the full tank?(in hours)

a.32 b.34 c.36 d. none of these

44. Two pipes A and B can fill an empty water tank in 40 and 50 minutes. An outlet pipe C can empty the full tank in 30 minutes. The tank is empty and A and B are opened simultaneously and after 10 minutes C is also opened. How long does it take to fill the tank (in minutes)?

a.55 ½ b. 5717 c. 55 d. none of these

45. Pipe A can fill an empty tank in 8 hours and pipe B can fill the same in 12 hours. If the tank is empty and pipes A and B are opened for an hour alternately with pipe B being opened first, when will the tank be full?(in hours)

a.9 b.8 c. 9 ½ d. none of these

46. If 10 men and 4 boys working together can do twice as much work per hour as a man and 4 boys together, then the ratio of the work done by a man to that of a boy for a given time is ______

a.2:1 b. 1:2 c. 3:4 d. none of these

47. A can do 2/3^rd of work in 18 days. In how many days can he finish 1/4^th of the work.

a. 6 ½ b. 6 14 c.6 d. none of these

48. A is thrice as efficient as B and is therefore able to finish it in 50 days less than B. Find the number of days taken by them to complete the work, working together.(in days)

a.15 b.20 c.25 d. none of these

49. A and B can do a job in 16 days and 12 days respectively . B worked alone for some days  and then A joins B to complete the remaining work in 4 days. How many days did B work alone.(in days)

a.5 b.6 c.8 d.14

50. A can do half as much work as B in one day. B alone can do a certain work in 12 days. In how many days can A and B together finish the job.(in days)

a.6 b.7 c.8 d. none of these

51. 14 men can complete a work in 24 days. Four days after they started the work, four more man joined them. How many days will they take to complete the reaming work.

a. 15 59 b. 15 ½ c. 15 34 d. none of these

52. If 35 man can do a piece of work in 6 days in how many days can 15 men do it.

a.12 b.14 c.16 d. none of these

53. A can do a job in 16 days and B can do same in 24 days. How long will they take to do  the work together.(in days)

a.9 ½ b. 9 14 c.3/4 d. 9 35

54. A bath tub can be filled by one pipe in 4 minutes and emptied by another pipe in 5 minutes. If the tub is empty and both pipes are opened simultaneously, how long will it take for the tub to be full.(in minutes)

a.18 b.20 c.15 d. none of these

55. A can dig a pit in 2 days which B can dig in 3 days and C can in 6 days. If all the three work together how long they take to dig a similar pit.(in days)

a.3 b. 2 c. 1 ½ d. none of these

56. Three men A,B and C can do a work together in 10 days. If A alone can do it in 30 days and B alone in 45 days, how many days would C take to complete the work working alone.

a.20 days b. 18 days c. 16 days d. none of these

57.A can do in 10 days What B can do it 12 days. How much more work does A do than B in 1 day.

a.1/80 b.1/60 c.60 d.40

58. A can do a piece of work in 2a days, B in a day’s and C in 4a days. How long will they take to complete the work if all the three work together.(in days)

a.4a/7 b.6a c. 2a d. none of these

59. A certain number of men can complete a work in 40 days. If there were 10 men more, the work would be completed in 10 days less. Initially, the number of men were 

a.25 b.20 c.24 d.30

60. A can do a piece of work in 15 days. B can do the same in 20 days. They start the work together and A leaves after three days. In how many days is work completed.

a. 14 b.16 c.18 d.20

61. P alone can do a piece of work in 24 days, Q alone can do the same work in 36 days. If they work on alternate days starting with Q, then how many days is the work competed.

a.29 b.31 c.37 d. none of these

62. A is 50% more efficient than the B and both are able to complete a work together in 15 days. How long would A, working alone, take to complete the work.(in days)

a.20 b.22 c.24 d. none of these

63. A,B and C take a work on contract for Rs. 3600. A alone can complete the work in 18 days. B alone can complete it in 24 days. Working together they completed the work in 6 days. The share of C is.(in Rs.)

a.1200 b.1500 c.1600 d.1800

64. There is enough provisions for 700 men in an army camp for 25 days. If there were 200 men less, how long would the provision last.(in days)

a.35 b.40 c.25 d.30

65. If 10 men or 12 women can do a work in 20 days, how long would 3 men and 6 women take to complete the same.(in days)

a.25 b.30 c.20 d. none of these

66. If 15 boys and 12 girls can do a piece of work in 20 days and 8 boys and 4 girls can do the same work in 40 days, then the ratio of the efficiency of a boy to that  of a girl is.

a.1:4 b.4:1 c.2:3 d.3:2

67.A building can be constructed by 30 men in 80 days. They start the work and after 20 days,10 more men join them. In how many more days will the construction of the building be completed.

a.45 b.40 c.35 d.55

68. Two pipes can fill empty an tub in 5 minutes and 7 minutes respectively. An outlet pipe can empty a full tub in 3 minutes. If the tub is empty and all the pipes are opened simultaneously, when will be tub will full.(in hours)

a.1 14 b. 1 ½ c. 2 d. 1 34

69. P and Q together can do a piece of work in 20 days. After working together for 12 days, P quits and Q completes the remaining work in 10 days. In how many days can P alone complete the work. 

a.80 b.100 c.120 d. none of these

70.Two taps A and B can fill the tank in 9 minutes and 12 minutes respectively. In what time will tank be full, if B is opened two minutes after A was opened.(in minutes)

a.6 b.8 c.10 d.12

71. Seta, Geta and Lata can do a job in 10 days by working together. Seta and Geta can do it in 20 days and Geta alone can do it in 30 days. How long will Seta and Lata take to complete the work?(in days)

a.10 b.15 c.20 d.25

72. A farmer has sufficient fodder to feed 50 cows for 10 days. How many days would the fodder last if he had 10 cows less?

a.10 ½ b. 11 ½ c. 12 ½ d. none of these

73. 24 persons can construct a wall in 15 days. But the owner wants it to be completed in 12 days. How many more men should he employ?

a.4 b.6 c.8 d. none of these

74. A is thrice as good a worker as B and is therefore able to finish a piece of work in 20 days less than B. find the time in which they can complete the work together.(in days)

a.18 b.20 c.22 d. none of these

75. The ratio of the rates of work of A and B is 5:6. The number of days taken by them to complete the work is in the ratio

a.6:5 b.3:2 c.2:3 d.5:6

76. If 10 men working 8 hours a day can construct a house in 100 days, in how many days will 15 men working 10 hours a day do the same work? 

a.5313 b. 52 ½ c. 54 14 d. none of these

77. A can do a piece of work in 28 days. B is 40% more efficient than A. The number of days in which B alone can do the same work is

a.10 b. 20 c. 30 d. none of these

78. P can do a piece of work in 20 days, while Q can do the same work in 24 days. If they work on alternate days beginning with P, in how many days would the work be completed?

a. 21 45 b. 21 c. 18 d. 12 ½ 

79. Three pipes can fill a tub in 6 minutes, 8 minutes and 12 minutes respectively. When the tub is empty the third pipe was opened for four minutes and then closed. If the other two pipes are opened immediately, the tub is filled in total _______ minutes.

a.5512 b. 7 37 c. 4 27 d. 6 27

80. 40 boys can finish a work in 60 days. If 40 boys start the work at the end of every 10 days 40 more boys join them, then how long will it take for the work to be complete?(in days.)

a. 30 b.20 c.40 d. none of these

Answer key

Exercise 15(a)

1	a	11	d	21	a	31	b	41	a	51	a	61	a	71	b
2	d	12	c	22	b	32	a	42	d	52	b	62	d	72	c
3	c	13	b	23	d	33	c	43	c	53	d	63	b	73	b
4	b	14	d	24	a	34	b	44	b	54	b	64	a	74	d
5	b	15	a	25	d	35	a	45	d	55	d	65	a	75	a
6	c	16	c	26	a	36	d	46	b	56	d	66	b	76	a
7	d	17	b	27	b	37	c	47	d	57	b	67	a	77	b
8	a	18	b	28	c	38	a	48	d	58	a	68	d	78	a
9	c	19	d	29	a	39	c	49	a	59	d	69	b	79	d
10	a	20	c	30	d	40	b	50	c	60	b	70	a	80	a