Answer:252 miles
Explanation:
Given
Amy took 7 hours while going
and it took only 4 hours on her return trip
Let [tex]v_g[/tex] be the average speed while going and [tex]v_h[/tex] is the average speed while returning.
x is the distance between the home and mountain
therefore
[tex]\frac{x}{4}-\frac{x}{7}=27[/tex]
[tex]x\left ( \frac{1}{4}-\frac{1}{7}\right )=27[/tex]
[tex]x=9\times 4\times 7=252 miles[/tex]
Answer:
252 miles
Explanation:
We define of the equation of the Velocity:
[tex]V=d/t[/tex]
V: velocity (miles/hour)
d : distance(miles)
t: time (hours)
V1= Speed going to the montain= d/7
V2= Speed back home= d/4
Because the average rate was 27 miles per hour faster on the trip home:
[tex]V2=V1+27[/tex]
[tex]d/4=d/7+27[/tex]
[tex]d/4-d/7=27[/tex]
([tex](7d-4d)/28=27[/tex]
[tex]3d=28*27[/tex]
[tex]d=756/3[/tex]
[tex]d=252 miles[/tex]
