Answer:
The speed of the slower car is: 51 miles/hour and the speed of the faster car is 54 miles/hour.
Step-by-step explanation:
First, we can easily find the speed of the slower car, since we know that the speed is given by the formula v=d/t, where d stands for the traveled distance and t for the elapsed time.
[tex]v_{s}=\frac{d_{s}}{t}=\frac{153\ miles}{3\ hours} = 51\ miles/hour[/tex]
Next, for the faster car, we know that the distance traveled is 153+9 miles in the same time, therefore, its speed is given by:
[tex]v_{f}=\frac{d_{f}}{t}=\frac{153+9\ miles}{3\ hours} = 54\ miles/hour[/tex]