Answer:
b-about 5 minutes
Step-by-step explanation:
For an object in uniform circular motion (=moving at constant velocity), the time taken to cover a certain distance is given by:
[tex]t=\frac{d}{v}[/tex]
where
d is the distance covered
v is the speed of the object
In this problem we have:
d = 10 miles is the distance covered by both cars
Car A travels at a speed of
[tex]v_A=35 mi/h[/tex]
So the time it takes is
[tex]t=\frac{10}{35}=0.286 h \cdot 60 \frac{min}{h}= 17.2 min[/tex]
Car B travels at a speed of
[tex]v_B=45 mi/h[/tex]
So the time it takes is
[tex]t'=\frac{d}{v_B}=\frac{10}{45}=0.222 h \cdot 60 \frac{min}{h}=13.3 min[/tex]
So the difference in time is
[tex]\Delta t = t-t'=17.2 min - 13.3 min \sim 4 min[/tex]
So, the closest answer is
b-about 5 minutes
