To determine the distance between City A and City B, we need to use the relationship between speed, time, and distance. The formula we use is:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Here's the step-by-step solution:
1. Speed of the Cat:
The Cat travels at a speed of 56 miles per hour (mph).
2. Time taken for the trip:
The time taken for the trip is [tex]$1 \frac{1}{2}$[/tex] hours. Converting the mixed number to a decimal, we get:
[tex]\[
1 \frac{1}{2} \text{ hours} = 1 + \frac{1}{2} = 1.5 \text{ hours}
\][/tex]
3. Calculating the Distance:
Using the formula [tex]\( \text{Distance} = \text{Speed} \times \text{Time} \)[/tex], we substitute the values:
[tex]\[
\text{Distance} = 56 \text{ mph} \times 1.5 \text{ hours}
\][/tex]
Multiplying these values gives:
[tex]\[
\text{Distance} = 84 \text{ miles}
\][/tex]
Therefore, the distance between City A and City B is 84 miles.
