Michael drove 210 miles in 3 and one-half hours. Jordan drove 330 miles in 6 hours. Which is an accurate comparison of the rates at which the two people drove?

Question

Jordan drove 5 miles per hour faster than Michael.
Jordan drove 5 miles per hour slower than Michael.
Jordan drove 15 miles per hour faster than Michael.
Jordan drove 15 miles per hour slower than Michael.

Answer 1

To compare the rates at which Michael and Jordan drove, we need to calculate their speeds.

Michael's speed:

• Distance = 210 miles
• Time = 3.5 hours

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{210 \text{ miles}}{3.5 \text{ hours}} \] Calculating this:

\[ \text{Speed} = 60 \text{ miles per hour} \]

Jordan's speed:

• Distance = 330 miles
• Time = 6 hours

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{330 \text{ miles}}{6 \text{ hours}} \] Calculating this:

\[ \text{Speed} = 55 \text{ miles per hour} \]

Now, we can compare their speeds:

• Michael's speed = 60 mph
• Jordan's speed = 55 mph

Since Jordan's speed (55 mph) is less than Michael's speed (60 mph), we can conclude:

Jordan drove 5 miles per hour slower than Michael.