Pipes & Cisterns

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. Sometimes outlet is also referred as waste pipe.

Formulae:

• If a pipe can fill a tank in x hours, then part filled in 1 hour = \frac{1}{x}

• If a pipe can empty a tank in y hours, then part emptied in 1 hour = \frac{1}{y}

• 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 = \frac{1}{x}\ -\ \frac{1}{y}

• 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 filled in 1 hour = \frac{1}{y}\ -\ \frac{1}{x}

• 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 time taken to fill the tank = \frac{xy}{y-x}

• 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 time taken to empty the tank = \frac{xy}{x-y}

• Time ∝ \frac{1}{Cross\ sectional\ area\ of\ the pipe}


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