Posted by Anjali Kaur on Dec 10, 2021

# 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

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## Important Formulas

1. If an inlet pipe can fill a tank in x hours, then part of the tank filled by pipe in 1 hour = 1/x
2. Outlet can empty the tank in 1 hour = 1/y
3. If y > x, then time taken to fill the tank = xy/(y-x)
4. If x > y, then time taken to empty the tank = xy/(x-y)
5. Both can fill the tank = xy/(x+y)
6. If 2 pipes fills and another empties then, time taken to fill the tank = 1/x + 1/y – 1/z

Thank You!

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