PIPES AND CISTERNS FORMULAE
1. Inlet: A pipe connected with a tank or a cistern 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.
2. (i) If a pipe can fill a tank in x hours, then : part filled in 1 hour = 1/x
(ii) If a pipe can empty a full 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
(ii) If a pipe can empty a full 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)
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