Question

2 Points

Answer 1

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 $4x$.

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 $5x$.

Total distance covered by Sara when Eddie will start would be $4x+4$.

Now we will equate distance covered by both in x hours as:

$5x=4x+4$

Let us solve for x.

$5x-4x=4x-4x+4$

$x=4$

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.