Calculating Distance Covered by a Car at 100 km/h in 40 Minutes

The speed of a car is often given in kilometers per hour (km/h), and it's useful to understand how much distance it can cover in different time intervals. This article will demonstrate how to calculate the distance covered by a car traveling at 100 km/h over a 40-minute period.

Conversion of Units and Basic Calculations

Firstly, let's understand the conversion of units. 100 km/h means that the car covers 100 kilometers in one hour. We need to break this down to find out the distance covered in 40 minutes. Here are the steps involved:

Step 1: Convert 40 minutes to hours

To convert minutes to hours, we divide by 60, as there are 60 minutes in an hour:

$$40 text{ minutes} frac{40}{60} text{ hours} frac{2}{3} text{ hours}$$

Step 2: Apply the Speed-Distance-Time Formula

The formula for distance when speed and time are known is:

$$Distance Speed times Time$$

Substitute the values into the formula:

$$Distance 100 text{ km/h} times frac{2}{3} text{ hours} frac{200}{3} text{ km} approx 66.67 text{ km}$$

Alternative Calculations for Verification

Here are a few alternative methods to verify the distance covered in 40 minutes:

Method 1: Direct Division of Total Distance

If we know that a car covers 100 km in 60 minutes (1 hour), we can directly calculate the distance covered in 40 minutes by using the following ratio:

$$Distance frac{100 text{ km}}{60 text{ minutes}} times 40 text{ minutes} frac{100 times 40}{60} text{ km} frac{200}{3} text{ km} approx 66.67 text{ km}$$

Method 2: Conversion of Hours to Decimal

Another method to convert minutes to hours is to directly convert 40 minutes to a decimal:

$$40 text{ minutes} 40 div 60 0.67 text{ hours}$$

Then apply the distance formula:

$$Distance 100 text{ km/h} times 0.67 text{ hours} 67 text{ km}$$

Note that this is an approximation, as 0.67 is a rounded value for (frac{2}{3}).

Conclusion

In conclusion, a car traveling at a constant speed of 100 km/h will cover approximately 66.67 kilometers in 40 minutes. This calculation provides a useful method to understand the relationship between speed, time, and distance, which is crucial for various applications in transportation and travel.