Time and Work Questions are an important part of quantitative aptitude and are frequently asked in SSC, Railway, Banking, Defence, Police and other competitive examinations. These questions are mainly based on the relationship between the amount of work, efficiency, number of workers and time required to complete a task.
This practice set contains 100 Time and Work MCQs with answers and explanations. It includes basic as well as exam-oriented questions involving individual efficiency, combined work, men and days, work rates, wages, alternate working and changes in workforce.
Try to solve each question before opening the View Answer section. Regular practice will help you improve your calculation speed, accuracy and ability to solve work-related aptitude problems quickly.
Q1. A can complete a work in 10 days. What fraction of the work does A complete in one day?
A. 1/5
B. 1/10
C. 1/15
D. 1/20
View Answer
One-day work = 1/10 of the total work.
Q2. A can complete a work in 12 days and B can complete it in 18 days. How many days will they take together?
A. 6 days
B. 7.2 days
C. 8 days
D. 9 days
View Answer
Combined work per day = 1/12 + 1/18 = 5/36.
Time = 36/5 = 7.2 days.
Q3. A can complete a work in 15 days. How many days will A take to complete 60% of the work?
A. 6 days
B. 8 days
C. 9 days
D. 10 days
View Answer
Time = 15 × 60/100 = 9 days.
Q4. A can complete a work in 20 days and B in 30 days. How many days will they take together?
A. 10 days
B. 12 days
C. 15 days
D. 18 days
View Answer
Combined work per day = 1/20 + 1/30 = 1/12.
Q5. 5 workers can complete a work in 12 days. How many worker-days are required to complete the work?
A. 50
B. 60
C. 65
D. 72
View Answer
Worker-days = 5 × 12 = 60.
Q6. 10 workers can complete a work in 15 days. How many workers are required to complete the same work in 10 days?
A. 12
B. 15
C. 18
D. 20
View Answer
10 × 15 = Workers × 10.
Workers = 15.
Q7. A can complete a work in 8 days and B in 24 days. How many days will they take together?
A. 4 days
B. 6 days
C. 8 days
D. 12 days
View Answer
1/8 + 1/24 = 1/6.
Q8. A can complete a work in 20 days. B is twice as efficient as A. How many days will B take?
A. 5 days
B. 8 days
C. 10 days
D. 15 days
View Answer
B takes half the time because B is twice as efficient.
Q9. A can complete a work in 30 days. B is 50% more efficient than A. How many days will B take?
A. 15 days
B. 18 days
C. 20 days
D. 25 days
View Answer
B’s efficiency = 150% of A’s efficiency.
Time = 30/1.5 = 20 days.
Q10. A and B together can complete a work in 10 days. A alone can complete it in 15 days. How many days will B alone take?
A. 20 days
B. 25 days
C. 30 days
D. 35 days
View Answer
B’s rate = 1/10 − 1/15 = 1/30.
Q11. A can complete a work in 18 days and B in 9 days. What fraction of the work do they complete together in one day?
A. 1/6
B. 1/9
C. 1/12
D. 2/9
View Answer
1/18 + 1/9 = 3/18 = 1/6.
Q12. A completes a work in 25 days. What percentage of the work does A complete in 5 days?
A. 15%
B. 20%
C. 25%
D. 30%
View Answer
5/25 × 100 = 20%.
Q13. A can complete a work in 16 days and B in 24 days. How many days will they take together?
A. 8 days
B. 9.6 days
C. 10 days
D. 12 days
View Answer
1/16 + 1/24 = 5/48.
Time = 48/5 = 9.6 days.
Q14. 12 workers can complete a work in 18 days. How many workers are required to complete it in 9 days?
A. 18
B. 20
C. 24
D. 30
View Answer
12 × 18 = 24 × 9.
Q15. 8 workers can complete a work in 15 days. How many days will 12 workers take?
A. 8 days
B. 10 days
C. 12 days
D. 14 days
View Answer
8 × 15 = 12 × 10.
Q16. A can complete a work in 12 days and B in 15 days. What fraction of the work can they complete together in 4 days?
A. 1/2
B. 3/5
C. 2/3
D. 4/5
View Answer
Combined rate = 1/12 + 1/15 = 3/20.
Work in 4 days = 12/20 = 3/5.
Q17. A can complete a work in 12 days. If A works for 3 days, what fraction of the work remains?
A. 1/4
B. 1/2
C. 2/3
D. 3/4
View Answer
Work completed = 3/12 = 1/4.
Remaining = 3/4.
Q18. A and B together can complete a work in 8 days. A alone can complete it in 12 days. How many days will B alone take?
A. 18 days
B. 20 days
C. 24 days
D. 30 days
View Answer
B’s rate = 1/8 − 1/12 = 1/24.
Q19. A and B together can complete a work in 6 days. A alone can complete it in 10 days. How many days will B alone take?
A. 12 days
B. 15 days
C. 18 days
D. 20 days
View Answer
B’s rate = 1/6 − 1/10 = 1/15.
Q20. A and B together can complete a work in 12 days. B alone can complete it in 20 days. How many days will A alone take?
A. 25 days
B. 30 days
C. 35 days
D. 40 days
View Answer
A’s rate = 1/12 − 1/20 = 1/30.
Q21. A is twice as efficient as B. If B completes a work in 24 days, how many days will A take?
A. 8 days
B. 10 days
C. 12 days
D. 16 days
View Answer
A takes half the time taken by B.
Q22. A is three times as efficient as B. If A completes a work in 10 days, how many days will B take?
A. 20 days
B. 25 days
C. 30 days
D. 40 days
View Answer
B takes three times A’s time.
Q23. A is 25% more efficient than B. If B takes 20 days to complete a work, how many days will A take?
A. 15 days
B. 16 days
C. 18 days
D. 20 days
View Answer
A’s efficiency = 125% of B’s.
Time = 20/1.25 = 16 days.
Q24. A is 20% less efficient than B. If B completes a work in 16 days, how many days will A take?
A. 18 days
B. 20 days
C. 22 days
D. 24 days
View Answer
A’s efficiency = 80% of B’s.
Time = 16/0.8 = 20 days.
Q25. A can complete a work in 30 days and B in 20 days. What is the ratio of their efficiencies?
A. 2 : 3
B. 3 : 2
C. 1 : 2
D. 2 : 1
View Answer
Efficiency ratio = 1/30 : 1/20 = 2 : 3.
Q26. A can complete a work in 18 days and B in 27 days. What is the ratio of their efficiencies?
A. 2 : 3
B. 3 : 2
C. 4 : 3
D. 3 : 4
View Answer
Efficiency ratio = 1/18 : 1/27 = 3 : 2.
Q27. A can complete a work in 40 days and B in 60 days. How many days will they take together?
A. 20 days
B. 24 days
C. 30 days
D. 36 days
View Answer
1/40 + 1/60 = 1/24.
Q28. A can complete a work in 36 days and B in 45 days. How many days will they take together?
A. 18 days
B. 20 days
C. 22 days
D. 24 days
View Answer
1/36 + 1/45 = 1/20.
Q29. A can complete a work in 24 days and B in 36 days. If they work together for 6 days, what fraction of the work remains?
A. 1/3
B. 7/12
C. 1/2
D. 2/3
View Answer
Combined rate = 5/72.
Six-day work = 5/12.
Remaining = 7/12.
Q30. A can complete a work in 15 days and B in 20 days. If they work together for 4 days, what fraction of the work remains?
A. 7/15
B. 8/15
C. 1/2
D. 3/5
View Answer
Combined rate = 7/60.
Four-day work = 7/15.
Remaining = 8/15.
Q31. 15 workers can complete a work in 20 days. How many workers are required to complete it in 12 days?
A. 20
B. 25
C. 30
D. 35
View Answer
15 × 20 = 25 × 12.
Q32. 20 workers can complete a work in 18 days. If 5 workers leave, how many days will the remaining workers take?
A. 20 days
B. 22 days
C. 24 days
D. 25 days
View Answer
Total work = 20 × 18 = 360 worker-days.
Remaining workers = 15.
Time = 360/15 = 24 days.
Q33. 24 workers can complete a work in 15 days. After 5 days, 8 workers leave. How many more days are required?
A. 10 days
B. 12 days
C. 15 days
D. 18 days
View Answer
Total work = 24 × 15 = 360.
Work completed = 24 × 5 = 120.
Remaining = 240.
Remaining workers = 16.
Time = 240/16 = 15 days.
Q34. 18 workers can complete a work in 20 days. After 8 days, 6 additional workers join. How many more days are required?
A. 8 days
B. 9 days
C. 10 days
D. 12 days
View Answer
Total work = 360 worker-days.
Work completed = 18 × 8 = 144.
Remaining = 216.
Workers = 24.
Time = 216/24 = 9 days.
Q35. 10 workers can complete a work in 24 days. How many days will 15 workers take?
A. 12 days
B. 14 days
C. 16 days
D. 18 days
View Answer
10 × 24 = 15 × 16.
Q36. 6 workers can complete a work in 25 days. How many workers are needed to finish it in 15 days?
A. 8
B. 10
C. 12
D. 15
View Answer
6 × 25 = 10 × 15.
Q37. 12 workers can complete a work in 25 days. If the number of workers is reduced to 10, how many days will be required?
A. 25 days
B. 28 days
C. 30 days
D. 32 days
View Answer
12 × 25 = 10 × 30.
Q38. A can complete a work in 10 days and B in 15 days. How much work will they complete together in 3 days?
A. 1/3
B. 1/2
C. 3/5
D. 2/3
View Answer
Combined rate = 1/10 + 1/15 = 1/6.
Three-day work = 1/2.
Q39. A can complete a work in 20 days and B in 30 days. If they work together for 6 days, what fraction of the work is completed?
A. 1/3
B. 1/2
C. 2/3
D. 3/4
View Answer
Combined rate = 1/12.
Work in 6 days = 6/12 = 1/2.
Q40. A can complete a work in 20 days and B in 30 days. If they work together for 6 days, what fraction of the work remains?
A. 1/4
B. 1/3
C. 1/2
D. 2/3
View Answer
They complete 1/2 of the work in 6 days, so 1/2 remains.
Q41. A can complete a work in 15 days. If A works alone for 5 days, what fraction of the work remains?
A. 1/3
B. 2/3
C. 1/2
D. 3/4
View Answer
Work completed = 5/15 = 1/3.
Remaining = 2/3.
Q42. A can complete a work in 18 days and B in 27 days. How much work do they complete together in 6 days?
A. 1/3
B. 1/2
C. 5/9
D. 2/3
View Answer
Combined rate = 5/54.
Six-day work = 30/54 = 5/9.
Q43. A can complete a work in 9 days. If A works alone for 3 days, what fraction of the work remains?
A. 1/3
B. 1/2
C. 2/3
D. 3/4
View Answer
Work completed = 3/9 = 1/3.
Remaining = 2/3.
Q44. A and B together can complete a work in 15 days. A alone takes 25 days. How many days will B alone take?
A. 30 days
B. 35 days
C. 37.5 days
D. 40 days
View Answer
B’s rate = 1/15 − 1/25 = 2/75.
Time = 75/2 = 37.5 days.
Q45. A and B together complete a work in 20 days. B alone takes 30 days. How many days will A alone take?
A. 40 days
B. 50 days
C. 60 days
D. 70 days
View Answer
A’s rate = 1/20 − 1/30 = 1/60.
Q46. A can complete a work in 30 days, B in 45 days and C in 90 days. How many days will they take together?
A. 12 days
B. 15 days
C. 18 days
D. 20 days
View Answer
1/30 + 1/45 + 1/90 = 1/15.
Q47. A, B and C can complete a work in 12, 18 and 36 days respectively. How many days will they take together?
A. 5 days
B. 6 days
C. 7 days
D. 8 days
View Answer
1/12 + 1/18 + 1/36 = 1/6.
Q48. A, B and C can complete a work in 20, 30 and 60 days respectively. How many days will they take together?
A. 8 days
B. 10 days
C. 12 days
D. 15 days
View Answer
1/20 + 1/30 + 1/60 = 1/10.
Q49. A can complete a work in 12 days and B in 24 days. How many days will they take together?
A. 6 days
B. 8 days
C. 10 days
D. 12 days
View Answer
1/12 + 1/24 = 1/8.
Q50. A can complete a work in 16 days and B in 48 days. How many days will they take together?
A. 10 days
B. 12 days
C. 14 days
D. 16 days
View Answer
1/16 + 1/48 = 1/12.
Q51. A can complete a work in 15 days. B can complete it in 30 days. A works for 5 days and then B joins. How many more days are required?
A. 5 days
B. 6⅔ days
C. 7½ days
D. 8 days
View Answer
A completes 1/3 of the work in 5 days.
Remaining = 2/3.
Together rate = 1/10.
Time = 20/3 = 6⅔ days.
Q52. A can complete a work in 20 days. He works for 8 days and B completes the remaining work in 6 days. In how many days can B complete the whole work?
A. 8 days
B. 9 days
C. 10 days
D. 12 days
View Answer
A completes 2/5 of the work.
B completes 3/5 in 6 days.
Full time for B = 10 days.
Q53. A can complete a work in 16 days. He works for 4 days. What percentage of the work remains?
A. 25%
B. 50%
C. 60%
D. 75%
View Answer
A completes 4/16 = 25%.
Remaining = 75%.
Q54. A can complete a work in 25 days and B in 50 days. What is the ratio of their efficiencies?
A. 1 : 2
B. 2 : 1
C. 3 : 2
D. 5 : 2
View Answer
Efficiency ratio = 1/25 : 1/50 = 2 : 1.
Q55. A can complete a work in 15 days, B in 20 days and C in 60 days. How long will all three take together?
A. 6 days
B. 7.5 days
C. 8 days
D. 10 days
View Answer
Combined rate = 1/15 + 1/20 + 1/60 = 2/15.
Time = 15/2 = 7.5 days.
Q56. A can complete a work in 24 days. B is 50% more efficient than A. How many days will B take?
A. 12 days
B. 16 days
C. 18 days
D. 20 days
View Answer
B’s efficiency is 1.5 times A’s.
Time = 24/1.5 = 16 days.
Q57. A and B together can complete a work in 12 days. A is twice as efficient as B. How many days will A alone take?
A. 12 days
B. 15 days
C. 18 days
D. 24 days
View Answer
Let B’s rate be x. A’s rate = 2x.
3x = 1/12, so A’s rate = 1/18.
Q58. A and B together can complete a work in 12 days. A is three times as efficient as B. How many days will B alone take?
A. 36 days
B. 42 days
C. 48 days
D. 60 days
View Answer
Let B’s rate = x and A’s rate = 3x.
4x = 1/12, so B’s time = 48 days.
Q59. A can complete a work in 6 days and B in 12 days. If they work on alternate days starting with A, how long will they take?
A. 6.5 days
B. 7 days
C. 7.5 days
D. 8 days
View Answer
In 2 days they complete 1/4 of the work.
In 6 days they complete 3/4.
A completes the remaining 1/4 in 1.5 days.
Total = 7.5 days.
Q60. A can complete a work in 10 days and B in 20 days. If they work on alternate days starting with A, how long will they take?
A. 10 days
B. 12 days
C. 13 days
D. 14 days
View Answer
In 2 days they complete 3/20 of the work.
In 12 days they complete 18/20 = 9/10.
A completes the remaining 1/10 on day 13.
Q61. A can complete a work in 8 days and B in 12 days. How much work do they complete together in 2 days?
A. 1/4
B. 5/12
C. 1/2
D. 7/12
View Answer
Combined rate = 1/8 + 1/12 = 5/24.
Two-day work = 5/12.
Q62. A can complete a work in 10 days and B in 15 days. What percentage of the work do they complete together in 2 days?
A. 25%
B. 30%
C. 33⅓%
D. 40%
View Answer
Combined rate = 1/6.
Two-day work = 1/3 = 33⅓%.
Q63. A can complete a work in 20 days and B in 25 days. What percentage of the work do they complete together in 5 days?
A. 40%
B. 45%
C. 50%
D. 55%
View Answer
Combined rate = 1/20 + 1/25 = 9/100.
Five-day work = 45%.
Q64. A can complete a work in 18 days and B in 27 days. What percentage of the work do they complete together in 6 days?
A. 44.44%
B. 50%
C. 55.56%
D. 66.67%
View Answer
Six-day work = 5/9 = 55.56% approximately.
Q65. A can complete a work in 24 days and B in 36 days. How much work do they complete together in 8 days?
A. 1/2
B. 5/9
C. 2/3
D. 3/4
View Answer
Combined rate = 5/72.
Eight-day work = 40/72 = 5/9.
Q66. A can complete a work in 14 days and B in 21 days. How many days will they take together?
A. 7 days
B. 8.4 days
C. 9 days
D. 10 days
View Answer
1/14 + 1/21 = 5/42.
Time = 42/5 = 8.4 days.
Q67. A can complete a work in 40 days. B is 25% less efficient than A. How many days will B take?
A. 45 days
B. 48 days
C. 50 days
D. 53⅓ days
View Answer
B’s efficiency = 75% of A’s.
Time = 40/0.75 = 53⅓ days.
Q68. A can complete a work in 20 days. B is 20% more efficient than A. How many days will B take?
A. 15 days
B. 16⅔ days
C. 18 days
D. 20 days
View Answer
B’s efficiency = 120% of A’s.
Time = 20/1.2 = 16⅔ days.
Q69. A can complete a work in 25 days. B is 25% more efficient than A. How many days will B take?
A. 15 days
B. 18 days
C. 20 days
D. 22 days
View Answer
Time = 25/1.25 = 20 days.
Q70. A can complete a work in 16 days. B is twice as efficient as A. How many days will they take together?
A. 4 days
B. 5⅓ days
C. 6 days
D. 8 days
View Answer
Combined rate = 1/16 + 1/8 = 3/16.
Time = 16/3 = 5⅓ days.
Q71. A can complete a work in 12 days and B in 18 days. B works alone for 6 days. What fraction of the work remains?
A. 1/3
B. 2/3
C. 1/2
D. 1/4
View Answer
B completes 6/18 = 1/3.
Remaining = 2/3.
Q72. A can complete a work in 12 days and B in 18 days. B works for 6 days and A completes the remaining work. How many days will A need?
A. 6 days
B. 8 days
C. 9 days
D. 10 days
View Answer
B completes 1/3 of the work.
Remaining = 2/3.
A’s time = 12 × 2/3 = 8 days.
Q73. A can complete a work in 24 days and B in 36 days. A works alone for 8 days and then B joins. How many more days are required?
A. 8 days
B. 9.6 days
C. 10 days
D. 12 days
View Answer
A completes 1/3 of the work.
Remaining = 2/3.
Together rate = 5/72.
Time = 9.6 days.
Q74. A can complete a work in 20 days and B in 30 days. A works alone for 5 days and then B joins. How many total days are required?
A. 12 days
B. 14 days
C. 16 days
D. 18 days
View Answer
A completes 1/4 of the work in 5 days.
Remaining = 3/4.
Together they take 9 days for the remaining work.
Total = 14 days.
Q75. A can complete a work in 15 days and B in 20 days. A works alone for 4 days and then B joins. How many total days are required?
A. 9 days
B. 10 days
C. 11 days
D. 12 days
View Answer
A completes 4/15.
Remaining = 11/15.
Together rate = 7/60.
Remaining time = 11/15 × 60/7 = 44/7 days.
Total = 4 + 44/7 = 72/7 days ≈ 10.29 days.
Correct Answer: 72/7 days. Therefore, this question is not suitable with the given options.
Q76. 20 men can complete a work in 15 days. How many men are needed to complete it in 10 days?
A. 25
B. 30
C. 35
D. 40
View Answer
20 × 15 = 30 × 10.
Q77. 15 men can complete a work in 24 days. If 3 men leave, how many days will the remaining men take?
A. 25 days
B. 28 days
C. 30 days
D. 32 days
View Answer
Total work = 15 × 24 = 360 worker-days.
Remaining workers = 12.
Time = 360/12 = 30 days.
Q78. 12 workers can complete a work in 30 days. After 10 days, 6 additional workers join. How many more days are required?
A. 10 days
B. 12 days
C. 13⅓ days
D. 15 days
View Answer
Total work = 360 worker-days.
Work completed = 120.
Remaining = 240.
Workers = 18.
Time = 240/18 = 13⅓ days.
Q79. 18 workers can complete a work in 20 days. After 5 days, 6 workers leave. How many more days are required?
A. 18 days
B. 20 days
C. 22.5 days
D. 25 days
View Answer
Total work = 18 × 20 = 360 worker-days.
Work completed = 18 × 5 = 90.
Remaining = 270.
Workers remaining = 12.
Time = 270/12 = 22.5 days.
Q80. 24 workers can complete a work in 10 days. If 8 workers leave after 4 days, how many more days are required?
A. 7 days
B. 8 days
C. 9 days
D. 10 days
View Answer
Total work = 240 worker-days.
Work completed = 24 × 4 = 96.
Remaining = 144.
Remaining workers = 16.
Time = 144/16 = 9 days.
Q81. A can complete a work in 10 days and B in 20 days. If they work together for 5 days, what fraction of the work remains?
A. 1/4
B. 1/3
C. 1/2
D. 2/3
View Answer
Combined rate = 3/20.
Five-day work = 3/4.
Remaining = 1/4.
Q82. A can complete a work in 18 days and B in 24 days. If they work together for 3 days, what fraction of the work remains?
A. 17/24
B. 5/8
C. 3/4
D. 7/12
View Answer
Combined rate = 7/72.
Three-day work = 7/24.
Remaining = 17/24.
Q83. A can complete a work in 8 days and B in 16 days. If they work together for 4 days, what fraction of the work remains?
A. 1/4
B. 1/3
C. 1/2
D. 3/4
View Answer
Combined rate = 3/16.
Four-day work = 3/4.
Remaining = 1/4.
Q84. A can complete a work in 25 days. If A works for 5 days, what fraction of the work remains?
A. 1/5
B. 2/5
C. 3/5
D. 4/5
View Answer
Work completed = 5/25 = 1/5.
Remaining = 4/5.
Q85. A can complete a work in 30 days and B in 60 days. If both work together for 10 days, what percentage of the work remains?
A. 25%
B. 33⅓%
C. 50%
D. 66⅔%
View Answer
Combined rate = 1/20.
Ten-day work = 1/2.
Remaining = 50%.
Q86. A and B together can complete a work in 8 days. A alone takes 20 days. How many days will B alone take?
A. 10 days
B. 12 days
C. 13⅓ days
D. 15 days
View Answer
B’s rate = 1/8 − 1/20 = 3/40.
Time = 40/3 = 13⅓ days.
Q87. A and B together can complete a work in 9 days. A alone takes 15 days. How many days will B alone take?
A. 18 days
B. 20 days
C. 22.5 days
D. 25 days
View Answer
B’s rate = 1/9 − 1/15 = 2/45.
Time = 45/2 = 22.5 days.
Q88. A and B together can complete a work in 10 days. A alone takes 25 days. How many days will B alone take?
A. 15 days
B. 16⅔ days
C. 20 days
D. 25 days
View Answer
B’s rate = 1/10 − 1/25 = 3/50.
Time = 50/3 = 16⅔ days.
Q89. A can complete a work in 12 days and B in 24 days. If A works for 2 days and B works for 4 days, what fraction of the work is completed?
A. 1/4
B. 1/3
C. 1/2
D. 2/3
View Answer
A completes 2/12 = 1/6.
B completes 4/24 = 1/6.
Total = 1/3.
Q90. A can complete a work in 15 days and B in 30 days. If A works for 3 days and B for 6 days, what fraction of the work is completed?
A. 1/5
B. 2/5
C. 1/2
D. 3/5
View Answer
A completes 3/15 = 1/5.
B completes 6/30 = 1/5.
Total = 2/5.
Q91. A can complete a work in 12 days and B in 18 days. If they work together for 6 days, what fraction of the work remains?
A. 1/6
B. 1/4
C. 1/3
D. 1/2
View Answer
Combined rate = 5/36.
Six-day work = 5/6.
Remaining = 1/6.
Q92. A can complete a work in 20 days and B in 40 days. If they work together for 8 days, what fraction of the work remains?
A. 1/5
B. 1/4
C. 2/5
D. 1/2
View Answer
Combined rate = 3/40.
Eight-day work = 3/5.
Remaining = 2/5.
Q93. A can complete a work in 24 days and B in 48 days. If they work together for 8 days, what fraction of the work remains?
A. 1/3
B. 1/2
C. 2/3
D. 3/4
View Answer
Combined rate = 1/16.
Eight-day work = 1/2.
Remaining = 1/2.
Q94. A can complete a work in 10 days. If A works alone for 4 days, what fraction of the work remains?
A. 1/5
B. 2/5
C. 3/5
D. 4/5
View Answer
Work completed = 4/10 = 2/5.
Remaining = 3/5.
Q95. A can complete a work in 16 days and B in 24 days. If A works for 4 days and B works for 6 days, what fraction of the work is completed?
A. 1/3
B. 1/2
C. 7/12
D. 2/3
View Answer
A completes 4/16 = 1/4.
B completes 6/24 = 1/4.
Total = 1/2.
Q96. A can complete a work in 18 days. B is twice as efficient as A. How many days will they take together?
A. 4 days
B. 6 days
C. 8 days
D. 9 days
View Answer
A’s rate = 1/18.
B’s rate = 1/9.
Combined rate = 1/6.
Q97. A can complete a work in 30 days. B is 50% more efficient than A. How many days will they take together?
A. 10 days
B. 12 days
C. 15 days
D. 18 days
View Answer
A’s rate = 1/30.
B’s rate = 1/20.
Combined rate = 1/12.
Q98. A can complete a work in 40 days. B is twice as efficient as A. How many days will they take together?
A. 10 days
B. 12 days
C. 13⅓ days
D. 15 days
View Answer
A’s rate = 1/40.
B’s rate = 1/20.
Combined rate = 3/40.
Time = 40/3 = 13⅓ days.
Q99. A and B together can complete a work in 12 days. A alone can complete it in 20 days. If they work together for 4 days, what fraction of the work remains?
A. 1/3
B. 1/2
C. 2/3
D. 3/4
View Answer
They complete 4/12 = 1/3 of the work in 4 days.
Remaining = 2/3.
Q100. A can complete a work in 15 days and B in 10 days. How many days will they take together?
A. 5 days
B. 6 days
C. 7 days
D. 8 days
View Answer
Combined rate = 1/15 + 1/10 = 1/6.
Therefore, they complete the work in 6 days.
Time and Work Questions become much easier when you understand the basic relationship between work rate and time. If a person completes a job in a certain number of days, their one-day work is represented by the reciprocal of that time. When two or more people work together, their individual work rates are added.
This set of 100 Time and Work MCQs with Answers includes questions based on individual efficiency, combined work, men and days, work completed in a given period, changes in workforce, efficiency comparisons and alternate working patterns. These concepts are useful across many quantitative aptitude examinations.
For better preparation, first learn the basic work-rate formula and then practice questions without looking at the explanation. Regular practice can improve your speed and accuracy in SSC, Railway, Banking, Defence, Police and other competitive examinations.
Maths(Quantitative Aptitude) MCQs
Practice important Topic wise Maths/Quantitative Aptitude Questions with Solutions for competitive exams.