Jeff used the fact that a motorcycle can travel 500 miles in 8 hours to find the unit rate. If the speed limit on the highway is 65 miles per hour, is the motorcycle going faster than, slower than, or equal to the speed limit?

Question

Cannot be determined by the information provided.
Slower than
Equal to
Faster than

Answer 1

To find the unit rate (speed) of the motorcycle, we can divide the distance traveled by the time taken:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{500 \text{ miles}}{8 \text{ hours}} = 62.5 \text{ miles per hour} \]

Now, we can compare this speed to the speed limit of 65 miles per hour:

• The motorcycle's speed is 62.5 miles per hour.
• The speed limit is 65 miles per hour.

Since 62.5 miles per hour is less than 65 miles per hour, the motorcycle is traveling slower than the speed limit.

So, the answer is: Slower than.