Question

The given table shows the distance traveled by a car over time. Find its speed (miles/hour).

Distance (in miles)	Time (in hours)
$200$	$4$
$100$	$2$

• A. $150$ miles/hour
• B. $25$ miles/hour
• C. $50$ miles/hour
• D. $120$ miles/hour

Answer 1

The correct option is C $50$ miles/hour

Let’s find if the distance traveled is proportional to the time taken.

Distance (in miles)	Time (in hours)	$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$
$200$	$4$	$\frac{200}{4}=50$ miles hr
$100$	$2$	$\frac{100}{2}=50$ miles/hr

Since the ratios are equal, the distance traveled and the time taken are proportional.
Now, the unit rate or the speed
$=50$ miles/hr