Question

Can someone please help me to answer this math question? Please? I will fan and give a medal...

Answer 1

sure

Answer 2

A tank can be filled by one pipe in 9 minutes and drained by another pipe in 12 minutes.
Determine how long it will take the fill the tank

Answer 3

do you need to form a linear function? or do you only need the time?

Answer 4

I'm sure just the time but I have to show the steps

Answer 5

1/9 - 1/12 = 1/x

therefore x= 1/36 however i think you should change the places therefore the answer is 36 mins

hope that helps... somehow

Answer 6

The way that works is that if it fills in 9 hours, that means in one hour it fills 1/9 of the tank.
Same goes for the drain.
It drains in 12 hours means it drains 1/12 of the tank in one hour.
So in one hour it will fill a net of 1/9-1/12=1/36 of the tank.Therefore it takes 36 hours to fill the tank with the drain unplugged.

Answer 7

Correction:
everything is in minutes! sorry.

Answer 8

There's another way...

Let x=time it takes for tank to overflow when both pipes are open and the tank is empty
When both pipes are open the tank fills at the rate of 1/x tank per min
Inlet pipe fills at the rate of 1/9 tank per min
drain empties at the rate of 1/12 tank per min
So, our equation to solve is:
1/9 - 1/12=1/x multiply each term by 60x

Answer 9

Thank you both so much!!! y'all are very helpful!!