Work and Time (SSC)

Total Questions: 50

1. A can complete a piece of work alone in 200 days, while B can complete the same piece of work alone in 100 days. In every three-day cycle, both A and B work on day 1, only A works on day 2, and only B works on day 3. This cycle continues till the work is completed. How many days in all does it take the duo to complete the work? [SSC CPO 27/06/2024 (1st Shift)]

Correct Answer: (b)
Solution:

2. Two workers - Sagar and Manish - are working on a heavy machine to melt waste metal. Sagar can complete the work in 15 days while both workers on alternate basis can complete the work in 12 days. In how many days can Manish alone complete the work ? [Matriculation Level 25/06/2024 (Shift - 1)]

Correct Answer: (a) 10
Solution:

3. A and B can complete a job together in 12.5 days; B and C can complete the same job together in 18.75 days, while C and A can complete the same job together in 15 days. In how many days will A, B and C together be able to complete the same job alongside D, who is only 40% as efficient as C ? [SSC CGL Tier II (26/10/2023)]

Correct Answer: (c)
Solution:


4. A and B are equally efficient, and each can individually complete a piece of work in 36 days, if none takes any holiday. A and B started working together on this piece of work, but A took a day off after every five days of work, while B took a day off after every seven days of work. If the duo had started work on 1 July 2021, on which date was the work completed ? [SSC CPO 05/10/2023 (3rd Shift)]

Correct Answer: (d) 21 July 2021
Solution:

5. A can do 1/5 of a piece of work in 20 days, B can do 30% of the same work in 36 days, while C can do 80% of the same work in 160 days. B and C together started and worked for x days. After x days B left the work, and A joined C and both completed the remaining work in (x - 41) days If the ratio between the work done by (B + C) together to the work done by (A + C) together is 19 : 6, then what fraction of the same work can be completed by C alone in 2x days ? [SSC CPO 05/10/2023 (1st Shift)]

Correct Answer: (a)
Solution:


6. When A alone does a piece of work, he takes 25 days more than the time taken by A and B to do the work together. On the other hand, B alone takes 16 days more than the time taken by A and B to do the work together. How many days will A and B, working together, take to do the work ? [SSC CPO 04/10/2023 (1st Shift)]

Correct Answer: (b) 20
Solution:

7. A hostel mess requires 217 eggs for a week. How many eggs will it require in total for the months of July, August and September? [SSC CPO 03/10/2023 (2nd Shift)]

Correct Answer: (c) 2852
Solution:


8. A man and woman working on alternate days can finish a work in 15 days if the man works on the first day. The same work is finished in 14.5 days if they work on alternate days and if the woman starts on the first day. The work will be finished by a man alone _______in days. [SSC MTS 08/09/2023 (1st Shift)]

Correct Answer: (d) 22
Solution:

9. P, Q and R can complete a piece of work in 6 days, 12 days and 15 days, respectively. P starts working alone on 1ˢᵗ, 4ᵗʰ, 7ᵗʰ ..., Q works alone on 2ⁿᵈ, 5ᵗʰ, 8ᵗʰ ... and B works alone on 3ʳᵈ, 6ᵗʰ, 9ᵗʰ ... This pattern is continued till the work is completed. In how much time (in days) is the entire work done ? [SSC MTS 06/09/2023 (3rd Shift)]

Correct Answer: (b)
Solution:

10. A can complete a task in the same time in which B and C work together. If A and B could complete it jointly in 10 days and C alone in 50 days, then B could complete it independently in : [SSC CHSL 17/08/2023 (4th Shift)]

Correct Answer: (c) 25 days
Solution: