Final answer:
The car travels at a rate of 13.5 miles per hour. Multiplying the rate by each given time period yields distances that the car would travel. The option that doesn't match the provided calculations is option D.
Step-by-step explanation:
To solve this problem, we first need to determine the rate at which the car travels. The car traveled 27 miles in 2 hours, so we can calculate the rate as:
Rate = Distance ÷ Time
Rate = 27 miles ÷ 2 hours = 13.5 miles per hour.
Now, we can use this rate to find out how far the car would travel in different amounts of time. Let's calculate the distance for each of the given times:
- 13 1/2 hours: 13.5 miles/hour × 13.5 hours = 182.25 miles
- 6 3/4 hours: 13.5 miles/hour × 6.75 hours = 91.125 miles
- 3 3/4 hours: 13.5 miles/hour × 3.75 hours = 50.625 miles
- 24 1/2 hours: 13.5 miles/hour × 24.5 hours = 330.75 miles