Q79. - Algebra 1

Question

TRAVEL A car travels $100$ miles east in $2$ hours and $30$ miles north in half an hour. What is the average speed of the car?

Step-by-Step Solution

Answer

The average speed of the car is $52\text{ miles per hours}$.

Step 1. Given information.

A car travels $100$ miles east in $2$ hours and $30$ miles north in half an hour.

Step 2. Concept used.

Average speed of the car is:

$\frac{\text{Total distance travels}}{\text{Total time taken in travels}}$

Step 3. To find the average speed.

$\begin{array}{l}\frac{\text{Total distance travels}}{\text{Total time taken in travels}}\\ =\frac{100\text{ miles}+30\text{ miles}}{2\text{ hours}+0.5\text{ hour}}\\ =\frac{130\text{ miles}}{2.5\text{ hours}}\\ =52\text{ miles per hours}\end{array}$

Hence, the average speed of the car is $52\text{ miles per hours}$.