Question

Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit:

• 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.

Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.

Answer 1

`2+(d)/(65) \leq 6 ;d\leq 260`

Explanation:

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Answer 2

If X mile is the distance of the park from his home, then, X ≤ 65

Explanation:

As Alexandria wants to hike for 2 hours and can reach the speed of average 65 miles per hour to and from the park,

so , we get that she can hike for
`\frac {2}{2}` hour = 1 hour when going to the park from home.

and if X mile is the distance of the park from his home, then

X ≤
`(65 * 1)`

⇒ X ≤ 65