Respuesta :
Answer:
The correct option is 2.
Step-by-step explanation:
The formula form speed is
[tex]speed=\frac{distance}{time}[/tex]
[tex]time=\frac{distance}{speed}[/tex]
It is given that the school is 16 miles from his home. He averages 40 miles per hour on his way to school. Time taken by Aidan to reach school from the home is
[tex]t_1=\frac{16}{40}[/tex]
Let speed at which Aidan drive home be s. Time taken by Aidan to reach home from the school is
[tex]t_2=\frac{16}{s}[/tex]
It is given that his total trip takes 1 hour.
[tex]\frac{16}{40}+\frac{16}{s}=1[/tex]
[tex]\frac{16s+640}{40s}=1[/tex]
[tex]16s+640=40s[/tex]
[tex]640=40s-16s[/tex]
[tex]640=14s[/tex]
Divide both sides by 14.
[tex]\frac{640}{24}=s[/tex]
[tex]s=26.666667[/tex]
[tex]s\approx 27[/tex]
Aidan return with speed about 27 mph Therefore the correct option is 2.
