Final answer:
The car with a speed of approximately 0.6667 miles per minute will travel around 32.67 miles in 49 minutes.
Step-by-step explanation:
To calculate how far the car will travel in 49 minutes, we first need to determine its speed. Given that the car travels 2 1/3 miles in 3 1/2 minutes, we can convert this to a rate in miles per minute by dividing the distance by the time:
- Distance: 2 + 1/3 miles = 2.333... miles
- Time: 3 + 1/2 minutes = 3.5 minutes
The car's speed (Vavg) in miles per minute is:
Vavg = distance / time = 2.333... miles / 3.5 minutes ≈ 0.6667 miles/minute
To find out how far the car will travel in 49 minutes, multiply its speed by the time:
Distance in 49 minutes = speed × time = 0.6667 miles/minute × 49 minutes ≈ 32.67 miles
This calculation also shows us that the car's travel distance is directly proportional to the time travelled, assuming a constant speed.