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We have two tanks: 

- Tank A starts with 70 liters of water and is emptied at a rate of 0.6 liters per second.
- Tank B starts with 30 liters of water and is filled at a rate of 0.4 liters per second.

We want to find how many seconds it will take for both tanks to have the same amount of water.

Let \( t \) be the number of seconds after which the two tanks have the same amount of water.

### Step-by-step setup of the problem:
1. **Tank A** loses water over time, so the amount of water in Tank A after \( t \) seconds will be:
   \[
   \text{Water in Tank A} = 70 - 0.6t
   \]
   
2. **Tank B** gains water over time, so the amount of water in Tank B after \( t \) seconds will be:
   \[
   \text{Water in Tank B} = 30 + 0.4t
   \]

3. Now, set the amount of water in both tanks equal to each other:
   \[
   70 - 0.6t = 30 + 0.4t
   \]

### Solving for \( t \):
- First, subtract 30 from both sides:
  \[
  70 - 30 = 0.6t + 0.4t
  \]
  \[
  40 = 1.0t
  \]

- Now, solve for \( t \):
  \[
  t = \frac{40}{1} = 40 \, \text{seconds}
  \]

Thus, after **40 seconds**, the two tanks will have the same amount of water.

Would you like further details on this problem or explanations on how to approach similar ones? Here are some related questions:

1. How would the problem change if Tank A were emptied at a different rate?
2. What happens if Tank B starts with a different initial amount of water?
3. How can we generalize this to any filling and draining rates?
4. What if both tanks are being filled instead of one being emptied?
5. How would the answer change if evaporation from both tanks were considered?

**Tip**: When solving rate problems, setting up equations and carefully analyzing how each rate affects the situation over time is key to finding the solution.

Tank A has 70 liters of water and is emptied at a rate of 0.6 liters per second. Tank B has 30 liters of water and is filled at a rate of 0.4 liters per second. After how many seconds will the two tanks have the same amount of water?

Learn how to solve a rate problem where Tank A loses water and Tank B gains water. After how many seconds will both tanks have the same water level? Includes step-by-step linear equation setup and solution. Suitable for students in Grades 6-9.

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