Work and Time (SSC) (Part-3)

Total Questions: 50

31. In an office, 75 employees can finish a project in 60 days. After few days, 15 employees left the job and the project was completed in 65 days. After how many days did the 15 employees leave ? [SSC CPO 04/10/2023 (2nd Shift)]

Correct Answer: (a) 40
Solution:

32. Akshita and Raina are typing a book, but have only one laptop to work upon. They decided that they will work on alternate basis such that Akshita works for the first day, Raina works for the second day, Akshita for the third day and so on. Akshita alone can finish the typing work in 16 days, while Raina will take 24 days if she works alone on the entire book. How many days will they take to finish the typing work if they work on alternate basis? [SSC CPO 04/10/2023 (2nd Shift)]

Correct Answer: (a) 19
Solution:

33. 36 equally efficient workers can paint 25 identical walls in 48 days. In how many days can 45 such workers paint 60 such walls ? [SSC CPO 04/10/2023 (3rd Shift)]

Correct Answer: (b) 92.16
Solution:

34. If 2 men or 4 women can build a wall in 34 days, in how many days can 6 men and 5 women build the same wall ? [SSC CPO 05/10/2023 (1st Shift)]

Correct Answer: (a) 8
Solution:


35. A and B complete a work in 24 and 30 days, respectively, working 10 hours per day. The work is to be done in two shifts. The morning shift is for 6 hours and the evening shift is for 4 hours. On the first day, A works in the morning and B works in the evening, and they interchange their shifts every day. On which day did the work get completed. [SSC CPO 05/10/2023 (1st Shift)]

Correct Answer: (b) 27th day
Solution:


36. Robert takes twice as much time as Tom and thrice as much time as George to complete a work. If working together, they can complete it in 23 hours, then find the time that Tom will take to complete the work. [SSC CPO 05/10/2023 (2nd Shift)]

Correct Answer: (c) 69 hours
Solution:

37. A can do a certain piece of work in 2.4 times the number of days in which B and C together can do it. If A and B together can do the said piece of work in 27 days and C alone can do it in 75 days, then how many days will B take to do this piece of work alone? [SSC CPO 05/10/2023 (2nd Shift)]

Correct Answer: (d) 45
Solution:

38. If Arun can complete (2/3)ʳᵈ of a work in 12 days, then in how many days can he complete (1/6)ᵗʰ of the same work? [SSC CPO 05/10/2023 (3rd Shift)]

Correct Answer: (d) 3
Solution:


39. A, B and C can do a piece of work in 10, 15, 12 days, respectively. A and B worked alternately for 5 days each and left. Then C joined and completed the work. In how many days did C complete the remaining work ? [SSC MTS 01/09/2023 (1st Shift)]

Correct Answer: (d) 2
Solution:

40. Ram can do a piece of work in 18 hours. Shyam and Naresh can do it in 9 hours. Ram and Naresh can do it in 12 hours. How long will Shyam alone take to do it ? [SSC MTS 01/09/2023 (2nd Shift)]

Correct Answer: (c) 12 hours
Solution: