You can use the fact that average speed is the ratio of total length traveled to total time taken to travel that length.
The best estimate for the length of the trail is 21.875 miles.
The average speed is the ratio of total length traveled to total time taken to travel that length.
Thus, if
[tex]d_2 = \text{final position}\\d_1 = \text{initial position}\\t_2 = \text{end time}\\t_1 = \text{start time (of travelling)}[/tex]
then,
[tex]S_a = \dfrac{\varDelta d}{\varDelta t} = \dfrac{d_2 - d_1}{t_2 - t_1}[/tex]
where [tex]S_a[/tex] is average speed of the traveler.
Since it is given that it tool Azul 1.7 5 hours to travel the Blue Mountain Trail, and average speed was 12.5 miles per hour
Thus, using the aforesaid formula, we have:
[tex]S_a = \dfrac{\varDelta d}{\varDelta t} \\\\12.5 = \dfrac{\varDelta d}{1.75}\\\\\varDelta d = 12.5 \times 1.75 = 21.875 \: \rm miles[/tex]
Thus, the distance from the start of the trail to the end of the trail, which represents the length of the trail is 21.875 miles.
Thus,
The best estimate for the length of the trail is 21.875 miles.
Learn more about average speed here:
https://brainly.com/question/12322912
