Let x represent number of hours after noon.
We have been given that Sara starts at noon and walks at a speed of 4 miles per hour. So distance covered by Sara in x hours would be
.
We are also told that Eddie leaves the same place an hour later. This means that Sara will be 4 miles ahead of Eddie as Sara will travel 4 miles in 1 hour.
As Eddie walks in the same direction at a speed of 5 miles per hour. So distance covered by Eddie in x hours would be
.
Total distance covered by Sara when Eddie will start would be
.
Now we will equate distance covered by both in x hours as:
Let us solve for x.
Since x represents number of hours after noon, so 4 represents 4 hours after noon.
Therefore, Eddie will catch up with Sara at 4:00 pm and option D is the correct choice.