Answer:
4 hours
Step-by-step explanation:
The speed of the first car is
[tex]v_1 = 120 km/h[/tex]
While the speed of the second car is
[tex]v_2=80 km/h[/tex]
The time it takes for each car to cover a distance d is
[tex]t=\frac{d}{v}[/tex]
where
d = 960 km is the total distance covered
For car 1, the time taken is:
[tex]t_1=\frac{960}{120}=8 h[/tex]
For car 2, the time taken is:
[tex]t_2=\frac{960}{80}=12 h[/tex]
Therefore, the difference in time is:
[tex]\Delta t =t_2-t_1 =12 -8 = 4 h[/tex]
