Work and Time (SSC) (Part-3)

Total Questions: 50

11. The one-day work of 2 men is equal to the one-day work of 4 women or the one-day work of 8 qualified workers. 10 qualified workers can finish a work in 8 days. If a man, a woman and a qualified worker work in the same order on three different days, the work is finished in _________ days. [Higher Secondary 24/06/2024 (Shift - 2)]

Correct Answer: (d) 135/4
Solution:

12. A work can be finished by 8 men in 10 days working 6 hours a day or same can be finished by 20 qualified workers in 6 days working 8 hours a day. 2 men and 4 qualified workers work simultaneously 10 hours a day, the work will be finished in _______ days. [Higher Secondary 25/06/2024 (Shift - 2)]

Correct Answer: (c) 12
Solution:

13. X and Y can do a piece of work in 18 days and 27 days, respectively. Starting with X, they work on alternate days. The whole number of days to complete the work by X and Y is: [Higher Secondary 25/06/2024 (Shift - 2)]

Correct Answer: (d) 22
Solution:

14. A can do a piece of work in 25 days. After working for 5 days, he took help of B and completed the work in 8 days. If both A and B had worked together from the beginning, in how many days would they have completed the work ? [Higher Secondary 25/06/2024 (Shift - 4)]

Correct Answer: (c) 10
Solution:

15. Sarthak and Mohan are working on alternate days in a workshop. Sarthak can complete the work in 20 days while Mohan can finish in 25 days. Sarthak works on the 1st day, Mohan on the 2nd day, and so on. How much time (in days) will they take on alternate basis ? [Higher Secondary 25/06/2024 (Shift - 4)]

Correct Answer: (b)
Solution:

16. Working separately, A and B can complete a work in 15 days and 18 days, respectively. If A starts the work and they work on alternate days, one on each day, then in how many days will the work be completed? [Higher Secondary 26/06/2024 (Shift - 2)]

Correct Answer: (a)
Solution:

17. A and B can do a work in 15 days and 30 days, respectively. They start working together, but A leaves after 3 days. How much time will B take to complete the remaining work? [Graduate Level 20/06/2024 (Shift - 3)]

Correct Answer: (b) 21 days
Solution:

18. Eight labourers working 10 hours a day completed a work in 18 days. If only 5 labourers are working, then in how many hours a day should they work to finish the work in 24 days? [Graduate Level 20/06/2024 (Shift - 3)]

Correct Answer: (d) 12
Solution:

19. Aman and Rajan are working at a construction site. In some engineering experiment, Aman is constructing a wall, while Rajan is demolishing that wall. Aman can completely build the wall in 15 days, while Rajan will take 20 days to completely demolish the wall. In how many days will the complete wall be built for the first time if they work on alternate days, with Aman working on the 1ˢᵗ day ? [Graduate Level 21/06/2024 (Shift - 3)]

Correct Answer: (d) 113
Solution:


20. A, B and C can do the same work in 9 days, 12 days and 18 days, respectively. A started the work and worked for 3 days and left. Then, B joined the work and worked for 3 days and left. Then, C joined the work and completed the work. Find the number of days C took to complete the work. [Graduate Level 24/06/2024 (Shift - 3)]

Correct Answer: (a)
Solution: