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Pipes and Cisterns

Pipes and Cisterns -> IMPORTANT FACTS AND FORMULAE

Inlet : A pipe connected with a tank or a certain or a reservoir, that fills it, is known as an inlet.
Outlet : A pipe connected with a tank or a cistern or a reservoir, emptying it, is known as an outlet.
I. If a pipe can fill a tank in x hours, then :
part filled in 1 hour = 1 / x.
II. If a pipe can fill a tank in y hours, then :
part emptied in 1 hour = 1 / y.
III. If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours(where y > x), then on opening both the pipes, the net part filled in 1 hour = (1/x - 1/y).
IV. If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours(where x > y), then on opening both the pipes, the net part emptied in 1 hour = (1/y - 1/x).