pipes & cisterns Topic-wise Short Notes, Solutions, Methods, Tips, Tricks & Techniques to Solve Problems

Pipes and Cisterns - Basic Formulas, Shortcuts, Rules, Tricks & Tips - Quantitative Aptitude

Useful For All Competitive Exams Like UPSC, SSC, BANK & RAILWAY

Posted By Careericons Team

Introduction to Pipes and Cisterns:

Pipe and cistern or tank problems are similar to time and work problems. These problems generally consist of a cistern (tank) to which one or more pipes fill the cistern or empty the cistern may be thought of as completing a job.

These problems of pipes and cisterns can be solved by using the same method used in time and work. And we changes our formulae according to the requirement of the pipes and cisterns.

1. A pipe connected with a tank or a cistern that fill the tank is known as inlet.
2. A pipe connected with a tank that empty it is known as outlet.

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Pipes and Cisterns are Extension of the Concept of Time & Work:

Here's how, Problems related to Pipes and Cisterns are almost the same as those of Time and Work. Statement ‘pipes A and B can fill a tank in 2 hours and 3 hours working individually’ is similar to the statement ‘A and B can do a work in 2 hours and 3 hours respectively working individually’.

If a pipe fills a tank in 3 hours, then the pipe fills $1/3$ rd of the same tank in 1 hour.

The only difference with the pipes and cisterns problems is that there are inlets as well as outlets. Inlet is a pipe connected with a tank (or a cistern or a reservoir) that fills it. Outlet is a pipe connected with a tank (or a cistern or a reservoir) that empties it.

Hence, if we consider filling the tank by inlet as positive work, then empting the tank by outlet will be considered as negative work.

Lets workout some solved examples based on Pipes & Cictens problems which will help you to understand more about the concept.

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Most Important 6 Key Points To Solve All Types of Pipes & Cisterns Aptitude Problems:

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"9" - Important Aptitude Rules, Formulas & Quick Tricks to Solve Pipes and Cisterns Based Aptitude Problems

In this list of rules, you will get an idea that How to solve all different types & kinds of Pipes and Cisterns based aptitude problems asked in various competitive exams like UPSC, SSC, Bank, and Railway examinations at all levels.

By using this method, you can able to solve all problems from basic level to advanced level of questions asked based on Pipes and Cisterns in a faster approch.

Let's discuss the rules one by one with all Pipes and Cisterns Rules & Formulas with examples,

RULE 1 :

Two taps 'A' and 'B' can fill a tank in 'x' hours and 'y' hours respectively. If both the taps are opened together, then how much time it will take to fill the tank?

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RULE 2 :

If x, y, z, ........... all taps are opened together then, the time required to fill/empty the tank will be:

Where T, is the required time
Note: Positive result shows that the tank is filling and Negative result shows that the tank is getting empty.,

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RULE 3 :

Two taps can fill a tank in 'x' and 'y' hours respectively. If both the taps are opened together and 1st tap is closed before 'm' hours of filling the tank, then in how much time the tank will be filled?

If 2nd tap is closed before 'm' hours then,

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RULE 4 :

If a pipe fills a tank in 'x' hours but it takes 't' more hours to fill it due to leakage in tank. If tank is filled completely, then in how many hours it will be empty? [due to leakage outlet]

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RULE 5 :

Amount of water released or filled = Rate × time.

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RULE 6 :

Two taps 'A; and 'B' can empty a tank in 'x' hours and 'y' hours respectively. If both the taps are opened together, then time taken to empty the tank will be

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RULE 7 :

A tap 'A' can fill a tank in 'x' hours and 'B' can empty the tank in 'y' hours. Then

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RULE 8 :

Two taps A and B can fill a tank in x hours and y hours respectively. If both the pipes are opened together, then the time after which pipe B should be closed so that the tank is full in t hours

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RULE 9 :

If pipes A & B can fill a tank in time x, B & C in time y and C & A in time z, then the time required/taken to fill the tank by

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Refer: Get all Topic-wsie Quantitative aptitude problems for upcoming competitive exams