Answer:
Approximately after 2 hours the distance between the two cars will be 268 miles.
Solution:
We know [tex]distance = speed\times time[/tex].
Here it is given that the speed of Car 1 is 65 mph and the speed of car 2 is 2.5 mph faster than car 1. It means that the speed of car 2 is (65+2.5) = 67.5 mph
We will use the below given equation to find out the time after which the distance between the two cars will be 268 miles.
Let ‘t’ be the time after which the distance between the two car will be 268 miles.
∴ A/Q, [tex]65t + 67.5t = 268[/tex]
[tex]132.5t = 268[/tex]
[tex]t = \frac{268}{132.5}[/tex]
[tex]t = 2.02 hour[/tex]
Therefore, approximately after 2 hour the distance between the two cars will be 268 miles.
