2 Points

Sara starts walking at noon at a speed of 4 miles per hour. Eddie leaves the

same place an hour later and walks in the same direction at a speed of 5

miles per hour. What time will Eddie catch up with Sara?

O

A. 5 p.m.

O B. 6 p.m.

O c. 3p.m.

O D. 4p.m.

SUBS

Respuesta :

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 [tex]4x[/tex].

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 [tex]5x[/tex].

Total distance covered by Sara when Eddie will start would be [tex]4x+4[/tex].

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

[tex]5x=4x+4[/tex]

Let us solve for x.

[tex]5x-4x=4x-4x+4[/tex]

[tex]x=4[/tex]

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.

Answer: D

Step-by-step explanation: Is too much to explain