Respuesta :
5 miles
using the formula
time = [tex]\frac{distance(d)}{speed}[/tex], then his distance can be calculated
[tex]\frac{d}{30}[/tex] + [tex]\frac{d}{6}[/tex] = 1
[tex]\frac{d}{30}[/tex] + [tex]\frac{5d}{30}[/tex] = 1
[tex]\frac{6d}{30}[/tex] = 1 ( multiply both sides by 30 )
6d = 30 ( divide both sides by 6 )
d = 5
He lives 5 miles from school
Answer: He lives 5 miles from school.
Solution:
Let distance between school and home be x miles.
Grey drove to school at speed = 30 mph
Distance between school and home = x mile
Formula used: [tex] Time=\frac{Distance}{Speed}[/tex]
Time taken by Grey from home to school [tex] T_1=\frac{x}{30}[/tex]
Grey jogged to home at speed = 6 mph
Distance between school and home = x mile
Formula used: [tex] Time=\frac{Distance}{Speed}[/tex]
Time taken by Grey from home to school [tex] T_2=\frac{x}{6}[/tex]
Grey took 1 hour for entire trip.
Therefore, [tex]T_1+T_2=1[/tex]
[tex] \frac{x}{30}+ \frac{x}{6}=1[/tex]
[tex] \frac{x}{30}+ \frac{5x}{30}=1[/tex]
[tex] \frac{6x}{30}=1[/tex]
we get , x=5 miles.
He lives 5 miles from school.
