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Do you know how to solve pipe and cistern questions? It can be a fascinating world to explore, and there are many mathematical concepts that can be learned from it. In this blog post, we will discuss two pipes a and b that can fill a cistern. We will also explore how to solve different types of pipe and cistern questions. So if you’re ready, let’s get started!
What are pipes and cisterns?
Pipes and cisterns are applied mathematics that deals with the flow of liquids in pipes. Pipes and cisterns problems involve two or more pipes filling a tank or reservoir. Pipes and cistern questions may ask how long it will take to fill a tank, when two pipes should be turned on at the same time, etc. Pipes and cisterns problems are frequently found in quantitative aptitude exams. Pipes and cisterns questions are easy to solve if you understand the basic concepts of pipes and cisterns.
Two Pipes Filling a Tank: Pipe A can fill a tank alone in 60 minutes, pipe B alone can fill the same tank in 30 minutes. Pipes A and B are opened simultaneously at 09:00 AM to fill an empty tank. Pipes A and B were closed at 11:30 AM, how many liters of water did the tank contain?
Pipes and cisterns problems can be solved using two methods – using pipe formula or using conversion method.
Pipe formula:
L = (Q ÷ t) × d
Where L is the liters of water in the tank, Q is the quantity of water in pipe A or B (in liters), t is the time in minutes and d is the diameter of each pipe in meters.
Conversion Method:
Liters per minute = Pipes A or Pipes B (in liters)
Liters per second = Pipes A or Pipes B (in liters) ÷ 60 seconds.
How to Solve Pipes and Cisterns Questions:
Step #01: Find the flow rate of each pipe in liters per minute and liters per second.
Step #02: Convert the time to minutes.
Step #03: Plugin the values into pipe formula or conversion method.
Step #04: Solve for L (liters).
In this question, Pipes A and B were closed at 11:30 AM. So, t = 900 minutes.
Pipe A flow rate = Q ÷ t = 3000 ÷ 900 =
333.33 liters per minute
Pipe B flow rate = Q ÷ t = 1000 ÷ 900 =
111.11 liters per minute
Liters per minute for Pipes A and B: (333.33 + 111.11) = 444.44 liters per minute
Liters per second for Pipes A and B: (333.33 ÷ 60) + (111.11 ÷ 60) =
11 + 111/60 = 11 + 37/20 = 1457/20 liters per second
The flow rate for Pipes A and B: Pipes A + Pipes B = Liters per minute for Pipes A and B
Conclusion
Pipes and cisterns are fascinating mathematical objects with a wide variety of applications. We’ve explored just a few of these in this article, but there are many more waiting to be discovered. If you enjoyed learning about pipes and cisterns as much as we did, be sure to check out some of the other great articles on pipes and cisterns problems with solutions pdf on our website. And if you want to learn more, why not try exploring them yourself? There’s no better way to learn than by getting your hands dirty with some mathematics. Happy plumbing!
