Question

An inlet pipe can fill a tank in 4 hours and an outlet pipe can empty the tank in 6 hours. by mistake, both the pipes are kept open. Find the number of hours in which the tank is half-filled?​

Answer 1

If an inlet pipe takes 4 hrs to fill and an outlet pipe takes 6 hrs to empty then when both the pipes are open then the tank will be half-filled in 6 hrs.

Step-by-step explanation:

An inlet pipe takes normally 4 hrs to fill a tank  

So, in 1 hour, the inlet pipe will fill = ¼th part of the tank

Also, an outlet pipe takes 6 hrs to empty the tank.

So, in 1 hr, the outlet pipe will empty = $\frac{1}{6}$th  part of the tank

Therefore,

In 1 hour the inlet and outlet pipes will manage to fill if both are kept open is,

= $\frac{1}{4} - \frac{1}{6}$

= $\frac{6-4}{6*4}$

= $\frac{2}{24}$

= $\frac{1}{12}$

Now, we can say that,

If 1/12th part of the tank is filled by both pipes in 1 hr

Then, 1 part will be filled in 12 hours

∴ ½ part of the tank will be filled in = $\frac{12}{2}$ = 6 hours

Thus, the tank will be half-filled in 6 hours.

------------------------------------------------------------------------------------------------

Also View:

A pipe can fill a tank in 9 hours . there is a leakage in the bottom of the tank due to which tank is filled in 12 hrs. If the tank is full , how much time does leakage take to empty the tank ?

https://brainly.in/question/11476143

A tank is normally filled in 16 hours. Because of a leak at it's bottom it takes 4 hours more to fill. How much time (in hours) will the leak take to empty the tank when it is full?

https://brainly.in/question/13509593

A tank is fitted with 22 pipes. some of these are fill pipes that fill the tank and others waste pipes that drain the tank. if each fill pipe can fill the tank in 24 hours and each drain pipe can drain the tank in 16 hours, and if all the pipes are kept open simultaneously when the tank is empty, the tank overflows in 12 hours. how many of these are waste pipes?

https://brainly.in/question/3553737