We’re trying to find when the two tanks will have the same amount of water. You can set the expressions for Tank A and Tank B equal to one another to write an equation that represents the two tanks having an equal amount of water. Do that now.

Question

Tank A
Liters in Tank A after t minutes: 400+(−3t)
Tank B
Liters in Tank B after t minutes: 180+5t
=
amount of water amount of water
in Tank A in Tank B

Answer 1

To find out when the two tanks will have the same amount of water, we can set the expressions for Tank A and Tank B equal to each other.

Given:

• Amount of water in Tank A after \( t \) minutes: \( 400 - 3t \)
• Amount of water in Tank B after \( t \) minutes: \( 180 + 5t \)

We can write the equation:

\[ 400 - 3t = 180 + 5t \]

Now, we can solve for \( t \):

1. Rearrange the equation to isolate \( t \): \[ 400 - 180 = 5t + 3t \]

2. Simplify: \[ 220 = 8t \]

3. Divide both sides by 8: \[ t = \frac{220}{8} = 27.5 \]

So, the two tanks will have the same amount of water after 27.5 minutes.