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

Total Questions: 50

1. P and Q alone can complete a piece of work in 9 days and 12 days, respectively. In how many days will the work be completed if they work on alternate days starting with Q? [Group D 17/08/2022 (Morning) ]

Correct Answer: (a)
Solution:

2. 5 men and 6 women can do a piece of work in 6 days while 3 men and 5 women can do the same work in 9 days. In how many days can 3 men and 2 women do the same work? [Group D 17/08/2022 (Afternoon) ]

Correct Answer: (a)
Solution:

3. A can count 100 eggs in 4 minutes while B can count the same number of eggs in 5 minutes. How much time will be required if they work together to count 450 eggs? [Group D 18/08/2022 (Morning) ]

Correct Answer: (d) 10 min
Solution:

4. A can complete a certain job in 32 days. B is 60% more efficient than A. In how many days can B alone complete the same job? [Group D 24/08/2022 (Morning) ]

Correct Answer: (d) 20 days
Solution:

5. P, Q and R can do a piece of work in 9 days, 18 days and 12 days, respectively. They start the work, with P working on Day 1, Q working on Day 2 and R working on Day 3, and then continuing with this cycle till the work is completed. How many days will be needed to complete this work in this manner? [Group D 29/08/2022 (Morning) ]

Correct Answer: (d) 12 days
Solution:

6. A book needs to be typed. When working alone A types it in 15 days, B types it in 12 days, C types it in 20 days, and D types it in 8 days. If A and D work together as team SUN, B and C work as team MOON, and A and C work as team RED. Which team finishes typing the book in the least time? [Group D 30/08/2022 (Afternoon) ]

Correct Answer: (b) Team SUN
Solution:

7. C is twice as efficient as A, while B takes thrice as many days as C to do the same work. A takes 10 days to do the work alone. If they work in pairs [like (A, B). (B, C) and (C, A)], with (A, B) working on the first day, then (B, C) working on the second day and (C, A) working on the third day and continuing the cycle till the work gets completed, then how many days will be required to complete this work? [Group D 02/09/2022 (Afternoon) ]

Correct Answer: (d)
Solution:

8. A can complete 2/3 of a certain work in 12 days and B can complete 1/4 of the same work in 3 days. Working together, the number of days they will take to finish the work is: [Group D 12/09/2022 (Morning) ]

Correct Answer: (c)
Solution:

9. Prakash and Vinesh can complete a certain piece of work in 12 and 14 days, respectively. They started to work together, and after 3 days, Vinesh left. In how many days will Prakash complete the remaining work? [Group D 29/09/2022 (Afternoon) ]

Correct Answer: (a) 45/7
Solution:

10. 10 men can dig a well 50 feet deep in 8 days. How many men can dig a well 100 feet deep in 10 days? [Group D 30/09/2022 (Evening) ]

Correct Answer: (a) 16
Solution: