Question

Pipe a can fill a tank in 12 hours. due to a leak at the bottom it takes 20 hours to fill the tank. in what time the leak alone can empty the full tank?

Answer 1

please mark it as a brainliest answer

Answer 2

Answer:

The leak alone can empty the full tank in 30 hours.

Step-by-step explanation:

It is given that a pipe can fill a tank in 12 hours. due to a leak at the bottom it takes 20 hours to fill the tank.

Let leak alone can empty the full tank in t hours.

The part of tank empty by pipe in 1 hour is $\frac{1}{t}$.

The part of tank fill by the pipe in 1 hour is $\frac{1}{12}$.

The part of tank fill by the pipe with leakage in 1 hour is $\frac{1}{20}$.

$\frac{1}{12}-\frac{1}{20}=\frac{1}{t}$

$\frac{5-3}{60}=\frac{1}{t}$

$\frac{2}{60}=\frac{1}{t}$

$2t=60$

$t=30$

Therefore the leak alone can empty the full tank in 30 hours.