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?

Short answer

The average speed of the car is $52\text{milesperhours}$.

Step-by-step solution

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:

$\frac{\text{Totaldistancetravels}}{\text{Totaltimetakenintravels}}$

Step 3. To find the average speed.

$\begin{array}{l}\frac{\text{Totaldistancetravels}}{\text{Totaltimetakenintravels}}\\ =\frac{100\text{miles}+30\text{miles}}{2\text{hours}+0.5\text{hour}}\\ =\frac{130\text{miles}}{2.5\text{hours}}\\ =52\text{milesperhours}\end{array}$

Hence, the average speed of the car is $52\text{milesperhours}$.