Kaito’s mom was driving him to his ice hockey game and decided to take the freeway. On the highway, she drove 50 mph and stayed at his practice for 2 hours. On their way home, she drove on the freeway at 40 mph. She spent a total 4 hours driving and drove 240 miles. How many miles did she drive each way? 

Let's define some variables to solve the problem:

- Let \( d \) be the distance Kaito's mom drove each way (to the ice hockey game and back).
- The total driving time was 4 hours, and the total distance driven was 240 miles.

### Step 1: Set up the equations
1. The distance to the game is \( d \), and the return trip distance is also \( d \), so the total distance is:
   \[
   d + d = 240
   \]
   \[
   2d = 240
   \]
   Solving for \( d \):
   \[
   d = \frac{240}{2} = 120 \text{ miles}
   \]
   
Thus, the total distance each way is 120 miles.

### Step 2: Use the time information
- Kaito’s mom drove 50 mph on the way to the game, so the time taken to travel to the game is:
  \[
  t_1 = \frac{d}{50}
  \]
  Substituting \( d = 120 \):
  \[
  t_1 = \frac{120}{50} = 2.4 \text{ hours}
  \]
  
- On the way back, she drove 40 mph, so the time taken to return is:
  \[
  t_2 = \frac{d}{40}
  \]
  Substituting \( d = 120 \):
  \[
  t_2 = \frac{120}{40} = 3 \text{ hours}
  \]

However, we are told that the total time driving is 4 hours, but the calculated driving time (2.4 + 3 = 5.4 hours) exceeds this. This suggests there is an inconsistency. Would you like me to check the details further, or did you mean something else?

Kaito’s mom was driving him to his ice hockey game and decided to take the freeway. On the highway, she drove 50 mph and stayed at his practice for 2 hours. On their way home, she drove on the freeway at 40 mph. She spent a total 4 hours driving and drove 240 miles. How many miles did she drive each way?

In this problem, Kaito's mom drives him to an ice hockey game, covering a total of 240 miles. Learn how to calculate how many miles she drove each way using the distance and time relationship. This step-by-step solution explores algebraic concepts and equations, perfect for students in Grades 6-8.

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