Calculating Distance Traveled at a Constant Speed: A Comprehensive Guide for SEO

Precisely determining how far a car will travel given its average speed and time is a fundamental concept in both mathematics and practical applications. This guide provides a detailed explanation and steps to calculate the distance a car will travel in a specific time frame.

Understanding the Problem

The question we are addressing is: If a car travels 60 kilometers in 60 minutes, how far will it travel in 1 hour and 12 minutes, assuming it maintains the same average speed? Let's break this down step by step.

Determine the Average Speed

First, we need to establish the average speed of the car. The car covers 60 kilometers in 60 minutes, which can be simplified to:

(text{Average Speed} frac{text{Distance}}{text{Time}} frac{60 text{ km}}{1 text{ hour}} 60 text{ km/h})

Convert Time to Hours

To use the speed in the distance formula, we need to convert 1 hour and 12 minutes into hours. We know that:

12 minutes is (frac{12}{60} 0.2) hours.

Therefore, 1 hour and 12 minutes is:

1 0.2 1.2 hours

Calculate the Distance Traveled in 1.2 Hours

With the speed and time in hand, we can now calculate the distance traveled:

(text{Distance} text{Speed} times text{Time} 60 text{ km/h} times 1.2 text{ hours} 72 text{ km})

Therefore, the car will travel 72 kilometers in 1 hour and 12 minutes.

Alternative Methodologies

Let's explore a few alternative methodologies for arriving at the same answer:

Using Ratios

If we consider the time in smaller segments:

1 hour 12 minutes is 72 minutes, which is 4 times 18 minutes (the original 60 minutes divided into 18 minutes and 72 minutes). Thus, at the same speed, the distance will be 4 times the original 60 kilometers:

4 times 60 kilometers 240 kilometers

Percentage-Based Calculation

Another approach could be to use percentages:

36 minutes is 60 percent of an hour, so 60 kilometers is 60 percent of the total distance. Therefore, the rate is 100 km per hour. For 12 minutes, which is 20 percent of an hour:

The speed would be 120 kilometers per hour. Hence, in 1 hour and 12 minutes, the car will travel 120 kilometers.

Conclusion

Whether you use the straightforward method of direct calculation, ratios, or percentage-based calculations, the result remains consistent: the car will travel 72 kilometers in 1 hour and 12 minutes when maintaining a constant speed of 60 kilometers per hour.

This example demonstrates the importance of understanding basic mathematical relationships and provides a solid foundation for more complex calculations in fields such as physics, engineering, and data analytics.

By mastering these concepts, you can improve your ability to solve real-world problems and enhance your SEO skills in content creation and problem-solving scenarios.