Sanders Watson
01/18/2024 · Middle School

A runner completes a race of 10 kilometers. How many feet did they run?

Real Tutor Solution

Tutor-Verified Answer

Quick Answer

The runner ran approximately 32,808.4 feet.

Step-by-step Solution

Step 1: 
Conversion Factors: 

1 kilometer = 1,000 meters 

1 meter = 3.28084 feet 
 

Step 2:

Calculation: 
\[10 \space \text { km} \times 1,000 \space \text { m/km} = 10,000 \space \text { m} \]\[10,000 \space \text { m} \times 3.28084 \space \text { ft/m} = 32,808.4 \space \text { ft} \]  

Step 3:

Conclusion: 

The runner ran approximately 32,808.4 feet.

 

Supplemental Knowledge:

Converting between kilometers and feet involves using specific conversion factors. The standard conversion factors are: 

1 kilometer (km) = 1,000 meters (m) 

1 meter (m) = 3.28084 feet (ft)

 

Life in Context:

Understanding length conversions is valuable in various situations. 

Imagine training for an international marathon where the course distance is measured in kilometers but you are used to measuring runs in feet or miles instead. Knowing how to convert these units can be essential in helping you prepare effectively.

 

To make unit conversions like this one easier or explore other mathematical concepts, check out UpStudy’s Length conversion calculator! Our AI-powered problem-solving services provide detailed explanations and insights across various subjects—helping you enhance your knowledge effortlessly!

Whether you're preparing for exams or simply passionate about learning more about practical math applications, UpStudy offers comprehensive resources tailored to your educational needs. Discover how UpStudy can support your academic journey today!

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