Question

A cistern has a leak which can empty it in 4 hours. A pipe which admits 20 liters of water per hour into the cistern is turned on, and now the cistern is emptied in 6 hours. What is the capacity of the cistern?​

Answer 1

Let the capacity of the cistern be x liters.

Therefore, the rate per hour of the leak when the inlet pipe is not operating = x/4.

Now, when the inlet pipe is operational, the leak takes 6 hours to empty the cistern.

Therefore, the rate per hour of the leak when the inlet pipe is not operating= x/6.

As a result, we have the following relation:

x/4-20=x/6

On solving the above equation, we get x = 240 liters.

Answer

The capacity of cistern = 240 Liter

Answer 2

Answer:

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