Calculating Distance Walked in a Quarter Hour: A Simple Yet Accurate Calculation
When given the information that a person walks 5 kilometers in 1 hour, how can we determine the distance walked in 1/4 hour? This article explains the process, converting units and applying basic mathematical principles to get an accurate answer.
Understanding the Problem
Initially, it might seem complicated to calculate the distance covered in a shorter time, especially when considering the variable speed of a walk. However, the equation is straightforward. As the speed is constant, the distance covered can be calculated by using basic unit conversions and arithmetic.
Converting Units to Decimal Format
To solve the problem, we first need to convert the fractional time (1/4 hour) into decimal form. This is because the metric system operates with decimal units, making conversions more precise and easier to handle.
Conversion of 1/4 hour to decimal:
1 hour 60 minutes
1/4 hour 60/4 15 minutes
15 minutes 0.25 hours
Applying Unit Conversion for Distance
Once the time is converted to decimal, we can apply unit conversion to find the distance. Starting with the given distance of 5 kilometers in 1 hour, we use the following step-by-step method:
5 km/1 hour * 1000 m/1 km 5000 meters/1 hour
Now, to find the distance in 15 minutes (0.25 hours), we multiply:
5000 m/1 hour * 0.25 hours 1250 meters
Conclusion: Accuracy with Assumptions
When walking at a consistent rate of 5 kilometers per hour, you can cover 1250 meters in 15 minutes, which is 1/4 of an hour. This value is accurate under the assumption that the walking conditions and speed remain constant throughout. Any variation in speed or external factors may affect the actual distance walked.
Additional Considerations
It's important to note that this calculation assumes a consistent walking pace. Factors such as fatigue, obstacles, or changes in terrain can alter the actual distance walked in a shorter period. Therefore, this answer is an estimate based on a steady walking speed.
For a more precise assessment in real-life scenarios, it would be beneficial to use a pedometer or GPS device to track the distance accurately. However, for educational and practical purposes, this method provides a simple yet accurate way to understand distance covered over different time intervals.