Container I currently contain 4.6 gallons of water and is being filled at a rate of 1.2 gallons per minute. Container II currently has 54.6 gallons of water and is being drained at a rate of 0.8 gallons per minute. After how many minutes will both containers have the same amount of water?

After 25 minutes both containers will  have the same amount of water.

Step-by-step explanation:

Let x = Number of  minutes

y= Quantity of water

For container I, Quantity of water will be :

y =  4.6+ 1.2x

For container II, Quantity of water will be :

y =  54.6-0.8x

According to the question, we have

4.6+ 1.2x = 54.6-0.8x

Add 0.8x on both sides and subtract 4.6 on both sides , we get

1.2x+8x = 54.6-4.6

⇒ 2x = 50

Divide both sides by 2, we get

x= 25

So after 25 minutes both containers will  have the same amount of water.

Step-by-step explanation:

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6