Railway Exams Maths Arithmetic Pipe & Cistern Practice Questions

Railway Exams Maths Arithmetic Pipe & Cistern is an important topic for candidates preparing for railway recruitment exams. Questions from this topic are usually based on tank filling, tank emptying, combined work, leakage, and time calculation.

Pipe and Cistern questions are closely related to Time and Work. The main difference is that in Time and Work, people complete the work. In Pipe and Cistern, pipes fill or empty the tank. The method remains almost the same.

Understanding the basic concepts of efficiency, capacity, and combined work can help candidates solve these questions more quickly in the examination. Students who want detailed solutions, step-by-step explanations, and concept discussions of the questions covered below can watch the attached video for better understanding and exam-oriented practice.

Also Read:

• Railway Exams Maths Arithmetic Partnership

What is Pipe and Cistern?

Pipe and Cistern is an important topic in arithmetic that deals with filling and emptying tanks using pipes or taps. 

• A pipe that fills the tank is called an inlet pipe. 

• A pipe that empties the tank is called an outlet pipe.

In railway exams, questions may ask the time taken by one pipe, two pipes, or multiple pipes to fill or empty a tank. Sometimes one pipe fills the tank, and another pipe empties it at the same time.

Formula for Pipe and Cistern

The main formula is: Time taken = Total capacity ÷ Net work done per unit time

• If Pipe A fills a tank in x minutes, then its one-minute work is 1/x.

• If Pipe B fills a tank in y minutes, then its one-minute work is 1/y.

• If both pipes fill the tank together, then:

Combined work = 1/x + 1/y

If one pipe fills and another pipe empties, then:

Net work = 1/x - 1/y

Railway Exams Maths Arithmetic Pipe and Cistern Practice Questions

Practicing Pipe and Cistern questions is important for improving speed and accuracy in Railway Exams. The following questions are based on filling pipes, emptying pipes, combined work, and outlet pipe concepts that are commonly asked in arithmetic sections.

Q1. Two pipes, A and B, can fill a tank in 20 minutes and 30 minutes, respectively. If both pipes are opened together, the time taken to fill the tank is:

(a) 50 minutes
(b) 12 minutes
(c) 25 minutes
(d) 25 minutes

Q2. A cistern can be filled with water by a pipe in 5 hours, and it can be emptied by a second pipe in 4 hours. If both pipes are opened when the cistern is full, the time in which the cistern will be emptied is:

(a) 9 hours
(b) 18 hours
(c) 20 hours
(d) 20½ hours

Q3. A tap can empty a tank in one hour. A second tap can empty it in 30 minutes. If both taps are opened simultaneously, how much time is needed to empty the tank?

(a) 20 minutes
(b) 30 minutes
(c) 40 minutes
(d) 45 minutes

Q4. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake, without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled?

(a) 72 minutes
(b) 84 minutes
(c) 108 minutes
(d) 120 minutes

Q5. Two pipes can fill a cistern in 3 hours and 4 hours, respectively, and a waste pipe can empty it in 2 hours. If all three pipes are kept open, then the cistern will be filled in:

(a) 5 hours
(b) 8 hours
(c) 10 hours
(d) 12 hours

Q6. Three taps A, B, and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will tap C alone take to fill it?

(a) 16 minutes
(b) 24 minutes
(c) 32 minutes
(d) 40 minutes

Q7. Two pipes, A and B, can separately fill a cistern in 60 minutes and 75 minutes, respectively. There is a third pipe at the bottom of the cistern to empty it. If all three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time will the third pipe alone empty the cistern?

(a) 110 minutes
(b) 100 minutes
(c) 120 minutes
(d) 90 minutes

Q8. A tap A can fill a tank in 8 hours and a drain tap B can empty it in 16 hours. If both the taps are opened simultaneously, how long will it take to fill the tank?

(a) 12 hours
(b) 18 hours
(c) 14 hours
(d) 16 hours

Q9. Three taps A, B and C can fill a tank separately in 4 hours, 6 hours, and 12 hours, respectively. Then in how much time will the tank be filled if all three taps are opened together?

(a) 2 hours
(b) 3 hours
(c) 5 hours
(d) 8 hours

Q10. Two cisterns A and B can be filled in 3 hours and 5 hours, respectively. Tap C can empty it in 2 hours. If all three taps are opened simultaneously, how long will it take to fill the tank?

(a) 30 hours
(b) 10 hours
(c) 15 hours
(d) 20 hours

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