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Quantitative Aptitude :: Pipes & Cistern

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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 = \(\left(\frac{1}{y} \ - \ \frac{1}{x}\right)\)