Question

Alexandria wants to go hiking on saturday. 

she wants to hike for 2 hours.
she wants to spend no more than 6 hours away from home.
she can average 65 miles per hour to and from the park.

solve the inequality that represents the possible distances from alexandria"s home to the park that satisfies her conditions

Answer 1

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

Answer 2

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

`D\le 4\cdot 65=260` 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.