High School

David and Ted are walking a trail. Ted walks 3.1 kilometers farther than David.

**Part A:**
Write an equation for the number of kilometers David walks, \(d\), if Ted walks 5.4 kilometers.

**Part B:**
Write an equation for the number of kilometers Ted walks, \(t\), if David walks 4.9 kilometers.

Fill in the blanks to tell the distance David and Ted walk:

1. If Ted walks 5.4 kilometers, then David walks for ______.
2. If David walks 4.9 kilometers, then Ted walks for ______.

Answer :

Final answer:

David walks 2.3 kilometers when Ted walks 5.4 kilometers, and Ted walks 8 kilometers when David walks 4.9 kilometers, based on their relationship where Ted always walks 3.1 kilometers farther than David.

Explanation:

To solve for the distances David and Ted walk, let's use their relationships:

Part A

If Ted walks 5.4 kilometers, the equation for the number of kilometers David walks, d, is d = t - 3.1, where t is the distance Ted walks. Therefore, if Ted walks 5.4 kilometers, then d = 5.4 km - 3.1 km = 2.3 km. So, David walks 2.3 kilometers.

Part B

If David walks 4.9 kilometers, the equation for the number of kilometers Ted walks, t, is t = d + 3.1. Therefore, if David walks 4.9 kilometers, then t = 4.9 km + 3.1 km = 8 km. So, Ted walks 8 kilometers.

Fill in the blanks:

  1. If Ted walks 5.4 kilometers, then David walks for 2.3 kilometers.
  2. If David walks 4.9 kilometers, then Ted walks for 8 kilometers.

Learn more about Distance Relationships here:

https://brainly.com/question/14217437

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