Question

If a pipe can fills a tank in 8hr and another pipe can empty the cistern in 10 hours then what part of the cistern will be filled in 1 hour if both pipes are opened simultaneously??

Answer 1

Answer:

It will take 40 hours to fill the tank, if both pipes are opend simultaneouly.

Step-by-step explanation:

First pipe takes 8 hours to fill the tank.

In one hour it fills 1/8th of the tank.

The second pipe empty the tank in 10 hours.

In one hour it empty 1/10 th of the tank.

If both tank opened, the amount of tank filled up is:

Filled by first pipe - Empty by the other pipe

= 1/8 - 1/10 =  (10 - 8) / 10 x 8 = 2/80 = 1/40

It means, in one hour, 1/40th of the tank fills.

So it will take, 40 hours to fill the tank, if both pipes are opend simultaneouly.