Asked by roboo2

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.
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

Answers

Answered by GPT-4o mini
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**.
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