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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 cistern or reservoir, emptying it, is known as an outlet.

2. If a pipe can fill a tank in x hours, then:
part filled in 1 hour = \( 1 \over x \) .

3. If a pipe can empty a tank in y hours, then:
part emptied in 1 hour = \( 1 \over y \) .

4. 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, then
the net part filled in 1 hour = \( {1 \over x} - {1 \over y} \) .

5. 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, then
the net part emptied in 1 hour = \( {1 \over y} - {1 \over x} \) .

Exercise : Pipes and Cistern MCQ Questions and Answers

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