PIPES & CISTERNS:
Inlet Pipe: A pipe which is used to fill the tank is known as Inlet Pipe.
Outlet Pipe: A pipe which can empty the tank is known as an Outlet Pipe.
Efficiency * Total time taken = Total units of tank filled/emptied
Assume the tank to be of 1 unit.
- If a pipe can fill the tank in 'x' hours then the part filled per hour(efficiency)= 1/x
- If a pipe can empty a tank in 'y' hours, then the part emptied per hour(efficiency)= 1/y
- If pipe A can fill a tank 'x' hours and pipe B can empty a tank in 'y' hours, if they are both active at the same time, then
The part filled per hour =$$\dfrac{1}{x}-\dfrac{1}{y}$$(if y>x)
The part emptied per hour =$$\dfrac{1}{y}-\dfrac{1}{x}$$(if x>y)