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

Total Questions: 57

1. A can do a piece of work alone in 16 days and B can do the work alone in 12 days. Together with C they can complete the work in 3 days. In how many days can C alone do the work ? [RRB NTPC 01/04/2021 (Evening) ]

Correct Answer: (d)
Solution:

2. P can complete a task in 10 days working 6 hours a day. Q can complete the same task in 9 days working 10 hours a day. If both P and Q work together working 6 hours a day, then in how many days can they complete the task? [RRB NTPC 03/04/2021 (Morning)]

Correct Answer: (d) 6 days
Solution:

3. A, B and C together can complete a task in 16 days. After the three of them worked together for 2 days, A left. B and C continued for 9 more days and then B left. C completed the remaining work in 6 days. If C alone can complete the entire task in 24 days, then in how many days can B alone complete the task? [RRB NTPC 03/04/2021 (Morning)]

Correct Answer: (a) 36 days
Solution:

4. A and B can together finish a field work in 30 days , B and C can together finish it in 40 days while C and A together can finish it in 60 days. How long will they take to finish it together ? [RRB NTPC 03/04/2021 (Evening) ]

Correct Answer: (b)
Solution:

5. Two workers X and Y are engaged to do work. X working alone takes 12 hours more to complete the job than if both work together . If Y worked alone, he would need 27 hours more to complete the job than if they both worked together. How much time would they take to complete the work together ? [RRB NTPC 05/04/2021 (Evening) ]

Correct Answer: (b) 18 hrs
Solution:

They take time to complete the work together = √(12 × 27) = 18 hrs.

6. A and B together can finish a task in 24 days. They worked at it for 18 days and then C finished the remaining work in 10 days. In how many days can A, B and C together finish the task? [RRB NTPC 06/04/2021 (Evening)]

Correct Answer: (c) 15
Solution:

7. Kiran can complete a task in 15 days. He works for 5 days and then leaves. If Venkat completes the remaining task in 30 days, then in how many days can Venkat alone complete the same task? [RRB NTPC 07/04/2021 (Morning)]

Correct Answer: (a) 45
Solution:

8. A can finish a task in 20 days and B can finish the same task in half the time taken by A. Working together, what part of the task can they finish in a day? [RRB NTPC 07/04/2021 (Evening)]

Correct Answer: (c) 3/20
Solution:

9. Ram and Shyam can complete a work in 12 and 18 days respectively. They worked together and received Rs. 15,000 for doing the work. How much money did they receive individually? [RRB NTPC 08/04/2021 (Evening)]

Correct Answer: (b) Ram = Rs. 9,000 and Shyam = Rs. 6,000
Solution:

10. A and B working together can complete a work in 10 days. C alone can complete the same work in 14 days. If A, B and C work together, then how many days will they take to complete three-fifth of the same work? [RRB NTPC 08/04/2021 (Evening)]

Correct Answer: (d) 7/2
Solution: