To find the average speed of a car that travels \(50.0 \text{ km}\) in \(40.0 \text{ minutes}\), follow these steps:
1. Convert the time from minutes to hours:
- There are \(60\) minutes in an hour. So, to convert the travel time from minutes to hours, divide the number of minutes by \(60\).
[tex]\[
\text{Time in hours} = \frac{40.0 \text{ minutes}}{60} = 0.6667 \text{ hours}
\][/tex]
2. Calculate the average speed:
- The average speed can be calculated by dividing the total distance traveled by the total time taken.
[tex]\[
\text{Average speed} = \frac{\text{Distance}}{\text{Time}} = \frac{50.0 \text{ km}}{0.6667 \text{ hours}} = 75.0 \text{ km/h}
\][/tex]
So, the car's average speed is [tex]\(75.0 \text{ km/h}\)[/tex].
