Using the formula $\mathrm{r}=\frac{d}{t}$ where $\mathrm{d}$ is the distance in miles $\mathrm{r}$ is the rate, and $\mathrm{t}$ is the time in hours, at which rate must you travel to cover $337.5$ $miles$ in $4.5$ $hours$?

Determine the speed:

In order to find the rate in which one should travel to cover the distance of $337.5$ in $4.5$

$\mathrm{r}=\frac{d}{t}\left[\mathrm{d}=\mathrm{distance},\mathrm{t}=\mathrm{time}\right]$ is used

Here, $\mathrm{d}=337.5miles$and $\mathrm{r}=4.5hours$

substitute $\mathrm{d}$and $\mathrm{r}$ in the equation $r=\frac{d}{t}$:

$$\begin{gathered} \mathrm{r}=\frac{337.5\mathrm{miles}}{4.5\mathrm{hours}} \\ =75\mathrm{miles}/\mathrm{hours} \end{gathered}$$

so, rate $\mathrm{r}=75\mathrm{miles}/\mathrm{hours}$

Hence, the rate in which one should travel to cover the distance of $337.5miles$ in $4.5hour$ is $75\mathrm{miles}/\mathrm{hour}$.