Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers, Let 6 be the number of hours it took Courtney to walk from her house to the beach, and p the number of hours it took her to walk from the beach to the park. Which system of equations represents this situation?

Let's create a system of equations from the given situation. Let t be the time in hours it took Courtney to walk from her house to the beach, and let p be the time in hours it took her to walk from the beach to the park.

The first piece of information we have is that the total time taken for both parts of the walk is 2 hours: t + p = 2

Next, we are told that Courtney walked at a speed of 4 kilometers per hour from her house to the beach, and at 5 kilometers per hour from the beach to the park. We also know that the total distance of the walk was 8 kilometers.

Using the relation between distance, speed, and time (distance = speed * time), we can express the distances for each part of the trip as follows: - Distance from house to beach: 4 * t - Distance from beach to park: 5 * p

Since the total distance was 8 kilometers, we can write the second equation based on the total distance: 4t + 5p = 8

So, the system of equations that represents the situation is: t + p = 2 4t + 5p = 8