Single Pipe Emptying The Tank


 
 
Concept Explanation
 

Single Pipe Emptying The Tank

Pipes and cisterns 

Pipes are connected to tank or reservoir, or cisterns are used to fill or empty the tank.

Inlet

A pipe or a tap connected with a tank ( or a cistern or a reservoir) is called an inlet, if it fills it.

Outlet

A pipe or a tap connected with a tank (or a cistern or a reservoir) is called an outlet, if it empties it.

Single Pipe Emptying The Tank:

Let us consider a situation in which only one pipe is connected to a tank or a reservoir and is emptying it. The pipe or tap is the outlet to the tank or reservoir.

Formula:

If a pipe can empty a tank in x h,

Then the part emptied in 1 h can be calculated as

Part ;emptied ;in; 1 ;h=frac{1}{x}

To calculate the part emptied in y h we will multiply it with the part emptied in 1 h

Part ;emptied ;in; y ;h=frac{1}{x} times y=frac{y}{x}

Illustration: Pipe A can empty a cistern in 15 min. what part of the cistern will be emptied in 5 min ?

A. 0.435          B. 0.333          C. 0.522           D. 0.365

Answer: B

Solution:  According to the question Pipe A can empty a cistern in 15 min.

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