Problem 91 - Prealgebra

Question

Fitness Walking. The guidelines for fitness now indicate that a person who walks \(10,000\) steps daily is physically fit. According to The walking Sile on the internet, The average person's stride length is approximately 2.5 feet long. That means it takes just over \(2,000\) steps to walk one mile, and \(10,000\) steps is close to 5 miles." Use your knowledge of unit analysis to determine if these facts are correct.

Step-by-Step Solution

Answer

10,000 steps approximate to 4.73 miles, verifying the statement as reasonably accurate.

Step 1: Understanding the Problem

We are given that a person needs to walk 10,000 steps to be considered physically fit. The average stride length is 2.5 feet. We are to verify if this equates to approximately 5 miles.

Step 2: Convert Steps to Feet

Calculate the total distance in feet for 10,000 steps. Knowing each step is 2.5 feet, the conversion is as follows: \(10,000 \text{ steps} \times 2.5 \text{ feet/step} = 25,000 \text{ feet}\).

Step 3: Convert Feet to Miles

There are 5,280 feet in a mile. Convert the distance walked (25,000 feet) into miles: \(\frac{25,000 \text{ feet}}{5,280 \text{ feet/mile}} \approx 4.7348 \text{ miles}\).

Step 4: Analyze the Result

The calculated distance is approximately 4.73 miles, which is close to 5 miles. Therefore, the information that 10,000 steps is close to 5 miles is reasonably correct, given rounding differences.

Key Concepts

Stride Length

Stride length refers to the distance covered in one stride. In fitness walking, the average person's stride length is about 2.5 feet. This value varies between individuals due to factors such as height and leg length. Stride length is essential as it helps in calculating the total distance covered during walking or running. For instance, if you know how many steps you've taken and your stride length, you can easily calculate the total distance traveled.

• Individual variation: taller people usually have longer strides, whereas shorter individuals have shorter strides.
• Measurement: You can calculate your stride length by measuring the distance of 10 strides, then dividing that number by 10.

Understanding stride length helps in creating more accurate fitness and training plans based on distance rather than just time or effort.

Fitness Walking

Fitness walking is a popular and accessible form of exercise widely recommended for its health benefits. The idea behind fitness walking is to walk at a brisk pace, typically achieving around 10,000 steps a day. This target helps maintain cardiovascular health, aids in weight management, and boosts mental well-being.

• Accessibility: Requires no specialized equipment besides comfortable footwear.
• Pacing: Maintaining a pace between 3-4.5 miles per hour is typically considered brisk walking.

Achieving these 10,000 steps a day through fitness walking is often advised to ensure a basic level of physical fitness.

Distance Calculation

Distance calculation in the context of fitness walking involves multiplying the number of steps taken by the stride length. Once this is determined, you can convert this distance into different units, such as miles or kilometers. The calculations become crucial in tracking and measuring fitness progress accurately.

• Steps count: Knowing the total number of steps walked per day (e.g., 10,000 steps).
• Stride conversion: Multiply by stride length to find total feet traveled.
• Result comparison: Compare calculated distance with set fitness goals (e.g., walking 5 miles).

Thus, mastering distance calculation enhances understanding and managing your walking program effectively.

Miles to Feet Conversion

Converting miles to feet is an essential step for unit analysis in distance calculations. This helps verify measurements in familiar terms and use them for various fitness evaluations. To convert miles to feet, use the conversion factor that one mile equals 5,280 feet.

• Method: Multiply the number of miles by 5,280 to find the total feet.
• Practical Use: Helps in converting calculated results easily from one measurement unit to another.

For fitness purposes, understanding this conversion helps travelers and walkers track their distance covered over long journeys or exercises.