Work and Time (SSC) (Part-3)

Total Questions: 50

21. A and B can do a piece of work in 10 days. B and C can do the same work in 12 days. C and A can do the same work in 15 days. If all the three work together, find the number of days required to complete the work. [Graduate Level 25/06/2024 (Shift - 3)]

Correct Answer: (d) 8
Solution:

22. If 12 students can read 4800 pages of a book in 15 days, then how many students can read 7200 pages of the same book in 10 days ? [Graduate Level 26/06/2024 (Shift - 3)]

Correct Answer: (b) 27
Solution:

23. 30 persons working 10 hours a day can do 5 units of work in 12 days. How many people are required to do 8 units of that work in 16 days if they work for 8 hours a day ? [Graduate Level 26/06/2024 (Shift - 3)]

Correct Answer: (c) 45
Solution:

24. A and B can do a piece of work separately in 10 days and 8 days, respectively. If they work alternately and A begins the work, in how many days will the work be completed ? [Graduate Level 26/06/2024 (Shift - 4)]

Correct Answer: (c) 9
Solution:


25. A and B can complete work in 9 days, while B and C can complete the same work in 18 days. When working together A, B and C, can finish the same work in 8 days. How many days will it take for A and C to complete the work together ? [SSC CHSL Tier II 02/11/2023]

Correct Answer: (c) 12
Solution:

26. P, Q and R, when working individually, can complete a job in, respectively, 36 days, 48 days and 144 days. P, Q and R start working together. P leaves the job 12 days before completion and Q leaves the job 8 days before completion. R works from the beginning till the end of the job. Determine the total number of days taken to complete the job. [SSC CPO 03/10/2023 (1st Shift)]

Correct Answer: (c) 27
Solution:

27. A can do a piece of work in 8 days, while B can do it in 7 days. If they work at it alternately beginning with A, then in how many days will the work be completed ? [SSC CPO 03/10/2023 (2nd Shift)]

Correct Answer: (d)
Solution:

28. P and Q can do a work together in 30 days. Q and R can do the same work together in 24 days and R and P together in 20 days. They started the work together, but Q and R left after 10 days. How many more days will P take to finish the remaining work ? [SSC CPO 03/10/2023 (2nd Shift)]

Correct Answer: (d) 18
Solution:


29. If 4 men or 6 boys can finish a piece of work in 20 days, then in how many days can 6 men and 11 boys finish the same work ? [SSC CPO 03/10/2023 (3rd Shift)]

Correct Answer: (d) 6
Solution:

30. A and B undertake a project worth ₹36,000. A alone can do the work in 25 days. They worked together for 5 days. For the next five days, B worked alone. After that, A substituted B and completed the remaining work in 5 days. The share of A in the earnings is: [SSC CPO 04/10/2023 (1st Shift)]

Correct Answer: (b) ₹ 14,400
Solution: