Question

The distance traveled by the blue car was monitored by a table.
number of hours, miles traveled
4, 216
5, 270
6, 324



the speed of the red car is -------- miles per hour

the speed of the blue car is-------- miles per hour

the ------ car is faster

Answer 1

To find the speed of the blue car, we can use the formula for speed:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

Let's calculate the speed of the blue car using the given data:

1. For 4 hours:
\[
\text{Speed} = \frac{216 \text{ miles}}{4 \text{ hours}} = 54 \text{ miles per hour}
\]

2. For 5 hours:
\[
\text{Speed} = \frac{270 \text{ miles}}{5 \text{ hours}} = 54 \text{ miles per hour}
\]

3. For 6 hours:
\[
\text{Speed} = \frac{324 \text{ miles}}{6 \text{ hours}} = 54 \text{ miles per hour}
\]

The speed of the blue car is consistently calculated as **54 miles per hour**.

Now, we still need to know the speed of the red car to compare:

Assuming you are given the speed of the red car (since we don't have that information in the problem), let's denote it as \( v_r \).

After finding the speed of the red car, we can write:

- The red car's speed is \( v_r \) miles per hour.
- The blue car's speed is **54 miles per hour**.

If \( v_r \) is greater than 54, then the red car is faster; if \( v_r \) is less than 54, then the blue car is faster; if they are equal, then they are at the same speed.

Please provide the speed of the red car to complete the comparison.