Work and Time (SSC) (Part-3)

Total Questions: 50

41. A and B can do a piece of work in 9 and 18 days, respectively. They started working together. After some days A left the work and B finished the remaining work in 15 days. After how many days did A leave ? [SSC MTS 01/09/2023 (3rd Shift)]

Correct Answer: (a) 1
Solution:

42. 20 men can complete a piece of work in 40 days, and 40 women can do the same work in 60 days. If 10 men and 20 women work together, then in how many days will the work be completed ? [SSC MTS 04/09/2023 (2nd Shift)]

Correct Answer: (c) 48
Solution:

43. A, B and C can complete a work in 10, 15 and 20 days, respectively. They work on alternate days such that 1ˢᵗ day A, 2ⁿᵈ day B and 3ʳᵈ day C. Again 4ᵗʰ day A, 5ᵗʰ day B and so on. If they work in the same way, in how many days will the work be completed? [SSC MTS 04/09/2023 (2nd Shift)]

Correct Answer: (d)
Solution:

44. If P can finish a job in 3 hours and Q can finish the same job in 6 hours independently, then they together will finish the job in 𝓍 minutes. Find the value of 𝓍. [SSC MTS 04/09/2023 (3rd Shift)]

Correct Answer: (d) 120
Solution:


45. A man can finish a work in 12 days and a woman can finish the same in 10 days. 2 men and 3 women work on alternate days and men start the first day. The work will be finished in ________ days. [SSC MTS 04/09/2023 (3rd Shift)]

Correct Answer: (c)
Solution:

46. Akash is thrice as good a workman as Arvind and therefore is able to finish a job in 30 days less than Arvind. If they work together, in how many days can they finish the job ? [SSC MTS 05/09/2023 (1st Shift)]

Correct Answer: (a)
Solution:

47. Tushar, Megha, Punam and Richa can complete a piece of work in 10 days, 12 days, 15 days and 18 days, respectively. In how many days will the work be completed if each of them work on alternate days starting with Megha on first day, Punam on second day, Richa on third day, Tushar on fourth day and then again Megha on fifth day and so on. [SSC MTS 05/09/2023 (2nd Shift)]

Correct Answer: (b) 13
Solution:

48. A man and a boy can do a piece of work in 12 days . If the man works alone for the last 3 days, it is completed in 13 days. How long would the boy take to do it alone ? [SSC MTS 05/09/2023 (3rd Shift)]

Correct Answer: (a) 36 day
Solution:

49. X can type 8 pages in 3 minutes. Y can type 3 pages in 5 minutes. Working together, how many pages can they type in 15 minutes ? [SSC MTS 06/09/2023 (1st Shift)]

Correct Answer: (d) 49
Solution:

50. A and B can finish a work in 5⅓ days. A alone can finish this work in 8 days. A and B worked on alternate days (starting with B) to finish this work. In how many days will the work be finished? [SSC MTS 06/09/2023 (2nd Shift)]

Correct Answer: (c)
Solution: