Question

There are two pipes A & B which can fill a tank
in 30 hours and 15 hours respectively. There is a
leak as well. when these all 3 ( pipes + leak) are
active, they take 12 hours 30 minutes to fill the
tank. find the time in which the leak can empty
the whole tank?​

Answer 1

Answer:

It will take 50 hours to fill the tank.

Step-by-step explanation:

i) Pipe A fills the tank  $\frac{1}{30}$ part in one hour

ii) Pipe B fills the tank  $\frac{1}{15}$ part in one hour

iii) Leak drains the tank $\frac{1}{12.5} = \frac{2}{25}$ in one hour

iv) In one hour the tank fills $\frac{1}{30} + \frac{1}{15} - \frac{2}{25}$

                            = $\frac{10}{300} + \frac{20}{300} - \frac{24}{300}$

                           = $\frac{6}{300}$

                           = $\frac{1}{50}$

v.) Therefore it will take 50 hours to fill the tank.