Given:
Two cars leave a city at the same time, one traveling east and the other traveling west.
The speed of the car traveling east = 60 mph
The speed of the car traveling west = 70 mph
After time = t
The distance traveled by east car = 60t
The distance traveled by west car = 70t
When they are 455 miles apart:
![70t+60t=455](https://img.qammunity.org/2023/formulas/mathematics/college/m992o4dyoh4dfezab0065eury5k6b3i79s.png)
Solve for t:
![\begin{gathered} 130t=455 \\ t=(455)/(130)=3.5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/shkxv3f49t43liuofgpyc9t47r5gmimj90.png)
So, the answer will be:
After 3.5 hours, they are 455 miles apart.