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

1 answer

To find out if Jeff's motorcycle is going faster, slower, or equal to the speed limit of 65 miles per hour, we first need to determine the motorcycle's speed based on the information provided.

Jeff's motorcycle travels 500 miles in 8 hours. To find the speed (unit rate), we can use the formula:

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

Calculating that gives:

\[ \text{Speed} = 62.5 \text{ miles per hour} \]

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

  • Motorcyle speed: 62.5 miles per hour
  • Speed limit: 65 miles per hour

Since 62.5 miles per hour is less than 65 miles per hour, we can conclude that Jeff's motorcycle is going slower than the speed limit on the highway.