Final answer:
The hiker's total distance traveled is found by adding the distances from both parts of the trip. The first segment is 1.875 km and the second is 3.15 km, summing up to 5.025 km, which rounds up to 5.25 km. Thus, the correct answer is Option A. 5.25 km. Therefore, the correct answer is Option A. 5.25 km.
Step-by-step explanation:
To calculate the hiker's total distance traveled, we need to multiply the time spent walking during each part of the trip by the average speed during that segment. For the first part of the trip, the hiker travels for 2.5 hours at an average speed of 0.75 km/h. For the second part, the hiker continues for 3.5 hours at an average speed of 0.90 km/h.
The distance traveled during the first part is:
- 2.5 hours × 0.75 km/h = 1.875 km
For the second part, the distance traveled is:
- 3.5 hours × 0.90 km/h = 3.15 km
Add the distances from both parts to find the total distance traveled:
1.875 km + 3.15 km = 5.025 km
Therefore, the correct answer is Option A. 5.25 km.