Question

A car travels at an average speed of 56 miles per hour. How many miles does it travel in 4 hours and 45minutes?

Answer 1

Step-by-step explanation

We can use the following formula to solve the exercise.

`\text{ Distance }=\text{ Rate}*\text{ Time}`

Then, we have:

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

We replace the know values in the formula.

`\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}`Answer

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