Explanation:
Let the distance be represented below as
[tex]=d[/tex]Let the time be represented below as
[tex]=t[/tex]For a car moving at a constant speed, the distance traveled varies directly with the time spent driving.
This can be represented below as
[tex]d=rt[/tex]Substitute d=400 and t=8 in the formula below
[tex]\begin{gathered} d=rt \\ 400=8r \\ \frac{8r}{8}=\frac{400}{8} \\ r=50milesperhour \end{gathered}[/tex]Replace the value of r in the formula below, we will have
[tex]\begin{gathered} d=rt \\ d=50t \end{gathered}[/tex]how many miles does it travel in 6 hours?
This can be calculated by substituting the value of t=6 hours in the formula above
[tex]\begin{gathered} d=50t \\ d=50\times6 \\ d=300\text{ }miles \end{gathered}[/tex]Hence,
The final answer is
[tex]\Rightarrow300\text{ }miles[/tex]