Pipes and Cisterns
Pipes and cisterns are used to fill or empty some container or a tank.
Inlet (x) which fills in water
Outlet (y) which takes out water
Feel free, first join my YouTube channel, Facebook group for applied maths students, subscribe to this website, and get a monthly collated mailer.
- If an inlet pipe can fill a tank in x hours, then part of the tank filled by pipe in 1 hour = 1/x
- Outlet can empty the tank in 1 hour = 1/y
- If y > x, then time taken to fill the tank = xy/(y-x)
- If x > y, then time taken to empty the tank = xy/(x-y)
- Both can fill the tank = xy/(x+y)
- If 2 pipes fills and another empties then, time taken to fill the tank = 1/x + 1/y – 1/z
You can check the following posts related to applied mathematics:
- Logical Reasoning – Basics
- What are functions?
- What is probability?
- Relations and functions
- Sets and Venn diagram
- What are the different types of sets?
- Set theory
Disclosure: Some of the links on the website are ads, meaning at no additional cost to you, I will earn a commission if you click through or make a purchase. Please support me so that I can continue writing great content for you.