Final answer:
To calculate the distance a car would travel in 18 minutes at a constant speed, determine the car's speed in miles per minute (1.25 miles/minute) and then multiply by the time (18 minutes) to get the distance (22.5 miles).
Step-by-step explanation:
We are given that a car travels 75 miles in 60 minutes at a constant speed. To find out how far the car will travel in 18 minutes, we can use the concept of proportions, since the speed is constant.
First, let's find the car's speed in miles per minute:
- Speed = distance ∕ time
- Speed = 75 miles ∕ 60 minutes = 1.25 miles/minute
Now, we can calculate the distance traveled in 18 minutes:
- Distance = speed ∕ time
- Distance = 1.25 miles/minute ∕ 18 minutes
- Distance = 22.5 miles
This means that the car would travel 22.5 miles in 18 minutes at a constant speed.
In the context of average and instantaneous speeds, the average speed is the total distance divided by the total time. For instance, if a car travels 150 kilometers in 3.2 hours, the average speed would be calculated as:
- Vavg = 150 km ∕ 3.2 h = 46.875 km/h
The instantaneous speed is the speed of the car at a particular moment, which can be seen on the car's speedometer. In a real-world scenario, a car's speed would likely fluctuate over a 3.2 hour trip, but the average speed provides an overall measure of the car's speed over the duration of the trip.