Answer :
the distance from Alexandria's home to the park can be less than or equal to 130 miles. She wants to spend at most 6 hours out, two hours of which will be spent hiking, so 4 hours at most can be spent driving. She will spend the same amount of time driving there as driving back, so of these 4 hours she can spend at most 2 hours driving there, and 2 hours driving back. driving for two hours at 65 mph, she would cover at most 130 miles
1. If Alexandria wants to spend no more than 6 hours away from home and wants to hike for 2 hours, then she will be in way to the park and back to the home no more than t≤4 hours.
2. If she has an average speed 65 miles per hour to and from the park, then the distance to and from the park is no more than
[tex]D\le 4\cdot 65=260[/tex] miles.
3. The distance from the home to the park and back from the park to the home is the same, then the from Alexandria's home to the park is d≤130 miles.
Answer: The distance from the park to the Alexandria's home is d≤130 miles.
