Important Tips: Pipes and Cisterns

# Important Tips: Pipes and Cisterns | Quantitative Aptitude for SSC CGL PDF Download

## Inlet and Outlet

The inlet pipe is designed to fill the cistern, whereas the outlet pipe is intended for emptying it. If a pipe can fill a tank in x hours, then the rate at which the pipe can fill the same tank in 1 hour is equal to 1/x.

## Pipes and Cisterns Tips and Tricks & Shortcuts

Here, are quick and easy tips and tricks for you to solve Pipes and Cisterns questions quickly, easily, and efficiently.

## Tips and tricks and shortcuts of  Pipes and Cisterns questions

• Pipes and Cisterns questions on are almost like Time and Work questions.
• In pipes and cistern problems, the portion of the tank are filled or emptied is calculated and it is relatively same as the amount of work done in time and work problems.
• Similarly, time taken to fill or empty a tank completely or to a desired level is the time taken to do a piece of work.
• Consider Efficiency: If the efficiency of a pipe is given, adjust the rate accordingly. For example, if a pipe has 80% efficiency, its rate is 80% of the normal rate.
• Be very careful with unit conversions, as they play a very important in role. Your answers may get wrong because of not proper conversion of unit.

### Type 1: Calculate time taken to fill a tank by two or more pipes

Example 1: Two pipes A and B are connected to a container. Pipe A can empty the container in 20 minutes and pipe B can empty the container in 30 minutes. Both A and B are opened together. Find out the time to empty the container completely?

(a) 12 mins
(b) 14 mins
(c) 10 mins
(d) 7 mins
Ans:
(a)
Let the size of the container be = 60 units [LCM (20, 30)]
Efficiency of pipe A = 60/20 = 3 units
Efficiency of pipe B =60/30 = 2 units
Combined efficiency of pipe A and pipe B = 5 units/min
So, time required to empty the container with both pipes = 60/5 = 12 mins

### Type 2 : Tips and Tricks and Shortcuts for Pipes and Cisterns Problems related to Calculate time taken to fill a tank having a hole or leakage

Example 2: A pipe takes 5 hours to fill a water tank but because of leakage, it takes 3 hours more. Find out the number of hours taken by leakage pipe to empty the full water tank?
(a) 40/3 hrs
(b) 3/40 hrs
(c) 3/47 hrs
(d) 2/51 hrs
Ans:
(a)
Water tank filled in 5 hours = 1/5
Now, due to outlet pipe, 1 hour part filled = 1/8
Part of the water tank emptied in 1 hour
So, the leak will empty the full water tank in 40/3 hrs

### Type 3: Calculate Time Taken When Pipes Are Opened For Different Periods

Example 3: There are three pipes A, B and C, which can fill the tank in 10 hours. All the three pipes were opened for together for 5 hours, C is closed and inlets A and B fill the remaining part in 12 hours. Find the time taken by C alone to fill the tank.
(a) 18 hrs 7 mins
(b) 17 hrs 8 mins
(c) 18 hrs
(d) 17 hrs
Ans:
(b)
Part of the tank filled by the pipes A, B and C in 1 hour = 1/10
Part of the tank filled by the pipes A, B and C in 5 hours
Remaining portion of tank to be filled =
Now, when A and B are open
Part of the tank filled by A and B in 1 hour
Therefore, part of the tank filled by C in 1 hour
Time taken by C alone  hours which can be written as 17 hrs 8 mins

The document Important Tips: Pipes and Cisterns | Quantitative Aptitude for SSC CGL is a part of the SSC CGL Course Quantitative Aptitude for SSC CGL.
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## Quantitative Aptitude for SSC CGL

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## FAQs on Important Tips: Pipes and Cisterns - Quantitative Aptitude for SSC CGL

 1. What is the concept of inlet and outlet pipes in pipes and cisterns?
Ans. Inlet and outlet pipes are used to fill or empty a cistern (tank) respectively. The inlet pipe fills the cistern with water, while the outlet pipe drains the water from the cistern.
 2. How do you calculate the time taken to fill a cistern when both the inlet and outlet pipes are open?
Ans. When both the inlet and outlet pipes are open, we need to subtract the time taken to empty the cistern from the time taken to fill it. The formula to calculate the time taken is: Time = (Volume of cistern) / [(Rate of inlet pipe) - (Rate of outlet pipe)]
 3. Can the rate of filling and emptying of a cistern be given in terms of the capacity of the cistern?
Ans. Yes, the rate of filling and emptying can be given in terms of the capacity of the cistern. For example, if the filling rate is given as 1/4th of the cistern's capacity per hour, it means that it takes 4 hours to fill the cistern completely.
 4. How do you calculate the time taken to fill a cistern when the inlet and outlet pipes are connected in series?
Ans. When the inlet and outlet pipes are connected in series, the effective rate of filling is the difference between the individual rates. The formula to calculate the time taken is: Time = (Volume of cistern) / (Rate of inlet pipe - Rate of outlet pipe)
 5. Can the rates of filling and emptying be given in terms of fractions?
Ans. Yes, the rates of filling and emptying can be given in terms of fractions. For example, if the inlet pipe fills 1/5th of the cistern per hour, it means that it takes 5 hours to fill the cistern completely. Similarly, if the outlet pipe empties 1/3rd of the cistern per hour, it means that it takes 3 hours to empty the cistern completely.

## Quantitative Aptitude for SSC CGL

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