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

Total Questions: 50

31. A and B can do a piece of work together in 48 days, while B alone can do the work in 60 days. The duo start working together, but B leaves 15 days before the work gets over. For how many days did A and B work together? [Level 5 (12/06/2022) Shift 2 ]

Correct Answer: (d) 45
Solution:

32. Find the answer of given question? [Level 2 (13/06/2022) Shift 1 ]

Correct Answer: (d)
Solution:

33. X and Y can complete a certain work in 18 days and 30 days respectively. Z is 50% more efficient than Y. Z and Y started the work but both had to leave after 4 days. The remaining work was completed by X with the assistance of P in the next 4 days. P alone can complete the original work in [Level 2 (13/06/2022) Shift 2 ]

Correct Answer: (b) 9 days
Solution:

34. Paras can complete 40% of the work in 8 days while Deepti & Paras together can complete 10% of the work in a day. Find the time taken by Deepti alone to complete the work? [Level 2 (13/06/2022) Shift 2]

Correct Answer: (d) 20 days
Solution:

35. A can complete a piece of work in 10 days. B is 25% more efficient than A. How many days will B alone take to complete the same work? [Level 3 (14/06/2022) Shift 1]

Correct Answer: (b) 8 days
Solution:

36. A and B together can complete a piece of work in 36 days while B and C together can do it in 20 days. The efficiency of C is thrice the efficiency of A. B alone can complete two-thirds of the original work in? [Level 3 (14/06/2022) Shift 2]

Correct Answer: (d) 40 days
Solution:

37. A can do a piece of work in 24 days and B can do 2/5 of the same work in 12 days. Both work together for 6 days. How much work is still left? [Level 3 (14/06/2022) Shift 2]

Correct Answer: (b) 11/20
Solution:

38. 105 people could complete a work in 36 days. But after they worked together for 8 days, their employer wanted that the work should be completed in a total of 29 days. How many more workers need to be employed to meet the deadline? [Level 5 (15/06/2022) Shift 1]

Correct Answer: (b) 35
Solution:

As per question,
105 × 36 = 105 × 8 + (x + 105) × 21
3780 = 840 + 21x + 2205
3780 - 840 - 2205= 21x
21x = 735 ⇒ x = 35
So, required number of men = 35

39. A can do 87.5% of the work in 35 days while B can do 65% of the same work in 23.4 days. If they work together, what fraction of the work will get done in 1 day? [Level 5 (15/06/2022) Shift 2]

Correct Answer: (c) 19/360
Solution:

40. A can complete a piece of work alone in 20 days, B can do it alone in 15 days and C can complete it alone in 18 days. B and C started the work together but both were forced to leave after 4 days. The remaining work was done by A in [Level 2 (16/06/2022) Shift 1 ]

Correct Answer: (a)
Solution: