Anthony was driving down a road and after 2 hours he had traveled 32 miles. At this speed, how many miles could Anthony travel in 12 hours? Fill out the table of equivalent ratios... Anthony was driving down a road and after 2 hours he had traveled 32 miles. At this speed, how many miles could Anthony travel in 12 hours? Fill out the table of equivalent ratios until you have found the value x.
Understand the Problem
The question is asking to calculate how many miles Anthony can travel in 12 hours based on the rate provided. Anthony travels 32 miles in 2 hours, and the user is required to fill out a table of equivalent ratios to find the total distance for 12 hours.
Answer
192 miles
Answer for screen readers
After driving for 12 hours, Anthony traveled (192) miles.
Steps to Solve
- Determine the rate of travel To find the rate at which Anthony is traveling, we calculate miles per hour.
[ \text{Rate} = \frac{\text{Miles}}{\text{Hours}} = \frac{32 \text{ miles}}{2 \text{ hours}} = 16 \text{ miles per hour} ]
- Calculate the total distance for 12 hours Now that we have the rate, we can find out how far Anthony can travel in 12 hours by multiplying the rate by the total hours.
[ \text{Total Distance} = \text{Rate} \times \text{Time} = 16 \text{ miles per hour} \times 12 \text{ hours} = 192 \text{ miles} ]
- Fill in the table Now we can fill in the table with the calculated distance for 12 hours.
- Miles: 192
- Hours: 12
After driving for 12 hours, Anthony traveled (192) miles.
More Information
Anthony's speed of 16 miles per hour means he can cover significant distances in a longer duration. For example, in 12 hours, he travels nearly twice the distance he traveled in the first 2 hours.
Tips
- Forgetting to convert hours into the appropriate unit: Always ensure that the units align when calculating distance.
- Miscalculating the multiplication for total distance: Double-check the multiplication to avoid simple arithmetic errors.
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