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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

2 Answers

3 votes

Answer: D

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

User Janus
by
7.8k points
3 votes

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.

User Sventevit
by
8.0k points

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