The first step is to find the average speed of the car.
We can find it by dividing the distance travelled by the total time traveled, as shown in the formula below:
[tex]V=\frac{DS}{DT}[/tex]Where V is the average speed, DS is the displacement (total distance traveled) and DT is the interval of time taken.
Using the information given in the question, we have that:
[tex]\begin{gathered} DS=125\text{ miles} \\ DT=2.5\text{ hours} \end{gathered}[/tex]Then, using this information to find the speed, we have:
[tex]V=\frac{125}{2.5}=50\text{ mph}[/tex]Now that we have the average speed of the car, we can find the distance that the car will travel after 3 hours using the same formula, but isolating the term DS:
[tex]\begin{gathered} V=\frac{DS}{DT}\to DS=V\cdot DT \\ DS=50\cdot3 \\ DS=150\text{ miles} \end{gathered}[/tex]So the distance traveled after 3 hours is 150 miles.
