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# Quantitative Aptitude :: Pipes & Cistern

Home > Quantitative Aptitude > Pipes & Cistern > Important Formulas

## Pipes & Cistern Important Formulas

1. Inlet:

A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an Inlet.

2. Outlet:

A pipe connected with a tank or cistern or reservoir, emptying it, is known as an outlet.

3. If a pipe can fill a tank in x hours, then:

part filled in 1 hour = $$\frac{1}{x}$$

4. If a pipe can empty a tank in y hours, then:

art emptied in 1 hour = $$\frac{1}{y}$$.

5. If a pipe can fill a Tank/Cistern in x hours and another pipe can empty the full Tank/Cistern in y hours (where y > x),

Then on opening both the pipes, then the net part filled in 1 hour = $$\left(\frac{1}{x} \ - \ \frac{1}{y}\right)$$.

6. If a pipe can fill a Tank/Cistern in x hours and another pipe can empty the full Tank/Cistern in y hours (where x > y),

Then on opening both the pipes, then the net part emptied in 1 hour = $$\left(\frac{1}{y} \ - \ \frac{1}{x}\right)$$