Respuesta :

Explanation

We can use the following formula to solve the exercise.

[tex]\text{ Distance }=\text{ Rate}*\text{ Time}[/tex]

Then, we have:

[tex]\begin{gathered} \text{ Distance = ?} \\ \text{ Rate = 56 mph} \\ \text{ Time }=4\frac{3}{4}=\frac{4*4+3}{4}=\frac{19}{4}=4.75\text{ hours} \\ \text{ Because }\frac{45\text{ minutes}}{60\text{ minutes}}=\frac{45}{60}=\frac{15*3}{15*4}=\frac{3}{4} \end{gathered}[/tex]

We replace the know values in the formula.

[tex]\begin{gathered} \begin{equation*} \text{ Distance }=\text{ Rate}*\text{ Time} \end{equation*} \\ \text{ Distance }=56\text{ mph}*4.75\text{ hours} \\ \text{ Distance }=266\text{ mi} \end{gathered}[/tex]Answer

The car travels 266 miles in 4 hours and 45minutes.