Question

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?

Answer 1

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

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.

Explanation: