Time and Work (Railway Maths) (Part – IV)

Total Questions: 50

41. A and B can complete a piece of work in 56 and 70 days respectively. They began the work together but A left after some days and B finished the remaining work in 34 days. After how many days did A leave ? [RRB NTPC 15/03/2021 (Morning) ]

Correct Answer: (a) 16
Solution:

42. A and B together can complete a task in 36 days. If B stops working after 30 days, the task will be completed in a total of 40 days. A alone can complete the task in: [RRB NTPC 15/03/2021 (Evening)]

Correct Answer: (a) 60 days
Solution:

43. A is twice as good a workman as B, and together they finish a work in 10 days. In how many days will A finish the work alone? [RRB NTPC 19/03/2021 (Morning)]

Correct Answer: (a) 15
Solution:

44. A man and a boy together can complete a task in 60 days. Their efficiency is in the ratio 7 : 5. How many days will the boy alone take to complete the task? [RRB NTPC 19/03/2021 (Evening)]

Correct Answer: (d) 144
Solution:

45. A can finish a work in 25 days and B can finish the same work in 20 days. They work together for 5 days and then A leaves. In how many days will B finish the remaining work? [RRB NTPC 21/03/2021 (Morning)]

Correct Answer: (b) 11 days
Solution:

46. A group of men decided to complete a task in 10 days, but five of them remained absent. If the rest of the group completed the task in 12 days, find the original number of men in the group. [RRB NTPC 21/03/2021 (Evening)]

Correct Answer: (a) 30
Solution:

47. A vehicle before overhauling requires 5/6 hr service time every 90 days, while after overhauling it requires 5/6 hr service time every 120 days. What fraction of the pre - overhauling services time is saved in the latter case ? [RRB NTPC 27/03/2021 (Morning) ]

Correct Answer: (a) 1/4
Solution:

48. A can complete in 2 days as much of a task as B can complete in 3 days and B can complete in 4 days as much of the task as C can complete in 5 days. In what time will A , B and C together complete the task if A alone can complete it in 22 days ? [RRB NTPC 27/03/2021 (Morning) ]

Correct Answer: (c) 10 days
Solution:

49. 25 women can complete a task in 60 days.After how many days from the start of the task should 5 more women join them so that the task is completed in 55 days ? [RRB NTPC 27/03/2021 (Evening) ]

Correct Answer: (b) 30
Solution:

50. A, B and C together can do a piece of work in 14 days, whereas C alone can do the same work in 42 days. How long will A and B together take to finish it ? [RRB NTPC 01/04/2021 (Morning) ]

Correct Answer: (c) 21 days
Solution: