Sure, let's break down the problem step-by-step.
1. Understand the given information:
- The speed of the car is 54 km/h.
- We need to find the distance covered in 40 minutes.
2. Conversion of time:
- The time given is in minutes, so we need to convert this time into hours because the speed is given in kilometers per hour.
- There are 60 minutes in an hour. Therefore, to convert 40 minutes to hours, we use the ratio:
[tex]\[
\text{time in hours} = \frac{\text{time in minutes}}{60} = \frac{40}{60}
\][/tex]
Simplifying this, we get:
[tex]\[
\text{time in hours} = \frac{2}{3} \approx 0.6667
\][/tex]
3. Calculate the distance:
- Distance can be determined using the formula:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
- Here, the speed is 54 km/h and the time is [tex]\(\frac{2}{3}\)[/tex] hours.
- Plugging these values into the formula, we get:
[tex]\[
\text{Distance} = 54 \, \text{km/h} \times \frac{2}{3} \, \text{hours}
\][/tex]
Simplifying this, we find:
[tex]\[
\text{Distance} = 54 \times 0.6667 \approx 36 \, \text{km}
\][/tex]
So, the car will cover approximately 36 kilometers in 40 minutes.
