Answer:
Stacey is 16 miles far from the beginning of the trail.
Step-by-step explanation:
Given:
Stacey's total hike journey to NCT, Colorado = 18 miles
Distance covered by her to, a resting spot = 4 miles
We have to find:
How far from the beginning of the trail is Stacey [tex]6[/tex] hours after leaving the resting spot.
According to the question.
Distance remaining = [tex](18-4) = 14[/tex] miles
Time taken = [tex]6[/tex] hours Speed maintained = [tex]2[/tex] mph
After leaving the resting spot she has covered a distance :
⇒ [tex]Distance = speed\times time[/tex]
⇒ [tex]Distance = 2\times 6[/tex]
⇒ [tex]Distance = 12[/tex] miles.
In [tex]6[/tex] hours she has covered [tex]12[/tex] miles and also she has covered [tex]4[/tex] miles before stopping here.
From the beginning she has covered :
⇒ [tex]Total\ distance =(4+12)[/tex]
⇒ [tex]Total\ distance = 16[/tex] miles.
Stacey is 16 miles far from the beginning of the trail.