Work and Time (SSC) (Part-6)

Total Questions: 49

41. Five men can complete work in 20 days. Ten women can complete the same work in 15 days. Two men and six women started working together. After 5 days, three women left the work and a new man joined the work. The group continued working together till the end of the work. In how many days will they be able to do the remaining work ? [SSC CGL 18/08/2021 (Evening)]

Correct Answer: (a)
Solution:


42. A can do a piece of work in 2 days, and B can do five times the same work in 15 days when they work for ten hours a day. If they work together, then how many hours in addition to a days’ work will they require to complete the work ? [SSC CGL 20/08/2021 (Evening)]

Correct Answer: (a) 2
Solution:

43. A can complete a work in 11½ days. B is 25% more efficient than A and C is 50% efficient than B. Working A, B and C will complete the same work. [SSC CGL 24/08/2021 (Morning)]

Correct Answer: (b) 4 days
Solution:

44. A certain number of persons can complete a work in 54 days. If there were 15 persons less, it would take 18 days more for the work to be completed. Initially, the number of persons is: [SSC CHSL 16/04/2021 (Afternoon)]

Correct Answer: (a) 60
Solution:

let the number of people initially = n
ATQ, 54n = (n - 15) × 72
3n = 4n - 60 ⇒ n = 60

45. A, B and C together can complete a work in x, 30 and 45 days, respectively B and C worked together for 6 days. The remaining work was completed by A alone in 12 days. The value of x is: [SSC CHSL 19/04/2021 (Morning)]

Correct Answer: (a) 18
Solution:

46. A can complete a work in 20 days, while B can complete the same work in 25 days. Both worked together for 10 days and then C alone completed the remaining work in 10 days. In how many days will A, B and C together complete the same work? [SSC CHSL 05/08/2021 (Morning)]

Correct Answer: (a) 10
Solution:

47. A and B can complete a work in 27 days and 54 days respectively. They completed the work in 9 days with the help of C. How many days will C take to complete eight-ninths of the work alone? [SSC CHSL 12/08/2021 (Afternoon)]

Correct Answer: (a) 16
Solution:

48. A and B can do a job in 10 days and 5 days respectively. They worked together for two days, after which B was replaced by C and the work was finished in the next three days. How long will C take to finish 60% of the job? [SSC CPO 23/11/2020 (Morning)]

Correct Answer: (c) 18 day
Solution:

49. X can do a work in 3 day, Y does three times the same work in 8 days, and Z does five times the same work in 12 days. If they have to work together for 6 hours in a day, then in how much time can they complete the work? [SSC CPO 23/11/2020 (Evening)]

Correct Answer: (d) 5 hours 20 minutes
Solution: