Pipe and Cistern (Railway Maths) (Part – I)

Total Questions: 50

1. Two pipes X and Y can fill a cistern in 21 hours and 24 hours, respectively. The pipes are opened simultaneously and it is found that due to a leakage in the bottom it takes 48 minutes more to fill the cistern. When the cistern is full, in how much time will the leak empty it if no pipe is open during that time? [Group D 18/08/2022 (Afternoon) ]

Correct Answer: (d) 168 hours
Solution:

2. Two pipes A and B can fill a cistern in 36 minutes and 48 minutes, respectively. Both the pipes are opened at the same time and pipe B is closed after some time. If the cistern gets filled in half an hour, then after how many minutes was pipe B closed? [Group D 22/08/2022 (Evening)]

Correct Answer: (a) 8
Solution:

3. A tank is filled by three pipes A, B and C in 4 hours. Pipe C is twice as fast as pipe B, and pipe B is twice as fast as pipe A. How much time will be taken by pipe A to fill the tank? [Group D 23/08/2022 (Evening)]

Correct Answer: (d) 28 hours
Solution:

4. Two pipes, A and B, can fill a tank of 1000 litres in 5 hours and 6 hours, respectively. If they are opened together, how many hours will they take to fill an empty tank of 1800 litres? [Group D 24/08/2022 (Evening)]

Correct Answer: (b) 54/11
Solution:

5. It takes two pipes A and B, running together, to fill a tank completely in 4 minutes. If it takes A, 6 minutes less than B, to fill the tank completely, then what will be the time taken by B alone to fill the tank completely? [Group D 26/08/2022 (Morning) ]

Correct Answer: (d) 12 min
Solution:

6. There are 4 pipes attached to a tank. Two to fill the tank and the other two to transfer the water into a cistern. The first two pipes can fill the tank in 40 sec and 80 sec, respectively, when opened alone, while the last two can empty in 80 sec and 160 sec, respectively, when opened alone. If all the pipes are opened together, in how much time will the tank be filled ? [Group D 01/09/2022 (Evening) ]

Correct Answer: (a) 53.33 sec
Solution:

7. Find the answer of given question? [Group D 28/09/2022 (Evening) ]

Correct Answer: (b) 6
Solution:

8. If pipe A can fill a cistern in X hours, pipe B can fill the same cistern in Y hours, and pipe C can empty the full cistern in Z hours, then find the time taken to completely fill the cistern, if Pipes A, B and C are opened together. [Group D 29/09/2022 (Afternoon) ]

Correct Answer: (a)
Solution:

9. Pipe P can fill a tank in 28 minutes and pipe Q can fill it in 35 minutes. If pipes P and Q are opened simultaneously when the tank is empty and pipe P is closed after 12 minutes, then how much more time will it take pipe Q to fill the remaining tank by itself ? [Group D 07/10/2022 (Evening) ]

Correct Answer: (d) 8 minutes
Solution:

10. A pool has 3 taps. The first tap takes 4 days, the second tap takes 2 days and the third tap takes only 12 h to fill the pool.How long will it take to fill the pool using all the three taps ? [NTPC CBT - I 09/01/2021 (Evening) ]

Correct Answer: (c)
Solution: