Formulas For Pipes & Cisterns

July 20, 2020

Formulas For Pipe And Cistern

  • Pipe : There are usually two kinds of Pipes
    • Inlet : Inlet pipe is the pipe that fills the cistern or Tank.
    • Outlet : Outlet Pipe is the pipe that empties the cistern or tank.
Formulas For Pipe And Cistern

Definition & Formula for  Pipes & Cisterns

  •  A pipe is connected to a tank or cistern to fill or empty the tank or cistern
    • Inlet: A pipe which is connected to fill a tank is known as an inlet.
    • Outlet: A pipe which is connected to empty a tank is known as an outlet.
  • In pipes and cisterns problems – we need to find out what portion of the tank each of the pipes fill or drain in unit time (say in a minute or hour or second) and then perform arithmetic operation on this value.

Formula

  1. If pipe can fill a tank in x hours , then part filled in one hour = \frac{1}{x}
  2. If pipe can empty a tank in y hours , then part emptied in one hour = \frac{1}{y}
  3. If pipe A can fill a tank in x hours, Pipe B can empty the full tank in y hours (where y > x). Then, on opening both the pipes, the net part filled in one hour= \frac{1}{x} – \frac{1}{y} OR \frac{xy}{y-x} hours
  4. If pipe A can fill a tank in x hours. Pipe B can empty the full tank in y hours (where x > y). Then, on opening both the pipes, the net part filled in one hour= \frac{1}{y} – \frac{1}{x} OR \frac{yx}{x-y} hours.
  5. If pipe A can empty a tank in X hours. Pipe B can empty the same tank in Y hours. Then part of the tank emptied in one hour when both the pipes start working together = \frac{1}{x} + \frac{1}{y}

Read Also –  How to solve Pipe and Cistern Questions Quickly.

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