Question

Water tank I contains 5.4 gallons of water. Miguel will begin filling Water tankl at a

rate of 1.7 gallons per minute.
Water tank Il contains 61.4 gallons of water. Alex will begin draining Water tank IIat
a rate of 0.3 gallons per minute.
After how many minutes will the two water tanks contain the same amount
of
water?

Answer 1

It will take 28 minutes for both water tanks to contain the same amount of water. We set up an equation based on the rates of water being filled and drained and solved for the time, t.

Step-by-step explanation:

To find out after how many minutes will the two water tanks contain the same amount of water, let's set up an equation. Tank I starts with 5.4 gallons and is being filled at a rate of 1.7 gallons per minute, so after t minutes it will contain 5.4 + 1.7t gallons. Tank II starts with 61.4 gallons and is being drained at a rate of 0.3 gallons per minute, so after t minutes, it will contain 61.4 - 0.3t gallons.

Now, set these two expressions equal to each other and solve for t:

5.4 + 1.7t = 61.4 - 0.3t

Combining like terms, we get:

2t = 56

Therefore, t = 28 minutes.

It will take 28 minutes for both tanks to have the same amount of water.