Pipes and Cisterns

1.INLET:A pipe connected with a tank or cistern or a reservoir,
that fills it, it is known as Inlet.

OUTLET:A pipe connected with a tank or a cistern or a reservoir,
emptying it, is known as 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 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 filled in 1 hour=(1/y -1/x).

v) If two pipes A and B can fill a tank in x hours and y hours
respectively. If both the pipes are opened simultaneously, part
filled by A+B in 1 hour= 1/x +1/y.
3. Volume flow rate = Q
Volume = V
Q= V / t
t=time taken to fill or empty the tank.