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
- 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
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