To solve this problem, we'll break it down into several steps. We need to determine how long it should take to travel 12 miles when we know that it takes 35 minutes to travel 25 miles.
### Step 1: Determine the speed
First, we calculate the speed in miles per minute. This step involves dividing the distance traveled by the time taken.
Given:
- Distance: 25 miles
- Time: 35 minutes
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{25 \text{ miles}}{35 \text{ minutes}} \][/tex]
By performing the division:
[tex]\[ \text{Speed} = \frac{25}{35} = 0.7142857142857143 \text{ miles per minute} \][/tex]
### Step 2: Calculate the time to travel 12 miles
Next, we need to find out how long it will take to travel 12 miles at the speed we just calculated.
Using the speed calculated above:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Given:
- Distance: 12 miles
- Speed: 0.7142857142857143 miles per minute
[tex]\[ \text{Time} = \frac{12 \text{ miles}}{0.7142857142857143 \text{ miles per minute}} \][/tex]
By performing the division:
[tex]\[ \text{Time} = \frac{12}{0.7142857142857143} = 16.8 \text{ minutes} \][/tex]
### Conclusion
Therefore, if you can travel 25 miles in 35 minutes, it will take you approximately 16.8 minutes to travel 12 miles.
