Get expert advice and community support for your questions on IDNLearn.com. Get prompt and accurate answers to your questions from our experts who are always ready to help.

The Cat is a high-speed catamaran auto ferry that operates between City A and City B. The Cat can make the trip in about [tex]1 \frac{1}{2}[/tex] hours at a speed of 56 mph. About how far apart are City A and City B?

Sagot :

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.