Work and Time (SSC) (Part-4)

Total Questions: 50

31. Raju and Akber take 4 hours and 6 hours to type 32 pages and 48 pages, respectively, on a computer. They are given an assignment of typing 256 pages. If they work together, typing on two different computers, starting at the same time, how much time will they take to complete the assignment (in hours)? [SSC CHSL 17/08/2023 (2nd Shift)]

Correct Answer: (a) 16
Solution:

32. A can complete a piece of work in 25 days while B can complete the same work in 30 days. They work on alternate basis, starting with A. Both A and B follow this pattern for 5 days and then A leaves the work. In how many days will B finish the remaining work? [SSC CGL 14/07/2023 (1st shift)]

Correct Answer: (a)
Solution:

33. P is two times more efficient than Q . P is able to complete a piece of work in 40 days less than Q . Working together, the whole number of days taken by them to complete the work is: (Round off to the nearest integer) [SSC CGL 14/07/2023 (2nd shift)]

Correct Answer: (c) 15
Solution:

34. A, B and C can separately complete a work in 12, 15 and 20 days, respectively. They worked together for 4 days. What will be the remaining work ? [SSC CGL 14/07/2023 (4th shift)]

Correct Answer: (b) 1/5
Solution:

35. 15 men and 25 women can complete a piece of work in 9.6 days. If 16 women can complete the same work in 27 days, find the number of days in which 16 men can complete the same work. [SSC CGL 17/07/2023 (1st shift)]

Correct Answer: (b) 20.2
Solution:

36. A, B and C can do a piece of work in 30 days, 40 days and 50 days, respectively. Beginning with A, if A, B and C do the work alternatively then in how many days will the work be finished ? [SSC CGL 17/07/2023 (2nd shift)]

Correct Answer: (a)
Solution:


37. 15 men and 21 women, working together, can do a job in 56 days, while 12 men and 24 women, working together, can do the same job in 64 days. In how many days can the same job be done by 18 men and 24 women, working together [SSC CGL 17/07/2023 (4th shift)]

Correct Answer: (d)
Solution:

38. A can do 20% of a job in 7 days and B can do 25% of the job in 7 days if they worked alone. How much of the job (in percentage) can they complete in 7 days if they worked together ? [SSC CGL 17/07/2023 (4th shift)]

Correct Answer: (d) 45%
Solution:

39. 30 men can complete a work in 12 days. After 6 days, 24 more men joined them. How many days will they now take to complete the remaining work? [SSC CGL 18/07/2023 (1st shift)]

Correct Answer: (a)
Solution:

40. A and B are equally efficient and each could individually complete a piece of work in 30 days, if none took any holiday. A and B started working together on this piece of work, but A took a day off after every four days of work, while B took a day off after every five days of work. If the duo had started work on 01 August 2022, on which date was the work completed ? [SSC CGL 18/07/2023 (3rd shift)]

Correct Answer: (d) 18 August 2022
Solution: