Stephen Kiprotich, the 2012 Olympic marathon winner, completed the 26.219 miles in 128 minutes. What was his speed in kilometers per minute?

What steps should you take to solve this problem?

1 answer

To convert the speed of Stephen Kiprotich from miles per minute to kilometers per minute, you can follow these steps:

  1. Convert miles to kilometers:

    • We know that 1 mile is approximately equal to 1.60934 kilometers. Therefore, we can convert the distance of the marathon into kilometers.
  2. Convert the marathon distance:

    • The marathon distance is 26.219 miles. To find the equivalent in kilometers: \[ \text{Distance in kilometers} = 26.219 \text{ miles} \times 1.60934 \text{ km/mile} \]
  3. Complete the multiplication:

    • Calculate \( 26.219 \times 1.60934 \).
  4. Determine the time in minutes:

    • The time taken to complete the marathon is given as 128 minutes.
  5. Calculate speed in kilometers per minute:

    • Speed is calculated by dividing the distance by the time: \[ \text{Speed} = \frac{\text{Distance in km}}{\text{Time in minutes}} \]
  6. Final calculation:

    • Use the values obtained from steps 2 and 4 to find the speed.

By following these steps, you will be able to find Stephen Kiprotich's speed in kilometers per minute. Let's carry out the calculations:

  1. Convert 26.219 miles to kilometers: \[ 26.219 \text{ miles} \times 1.60934 \text{ km/mile} \approx 42.195 \text{ km} \]

  2. Time is 128 minutes.

  3. Calculate speed: \[ \text{Speed} = \frac{42.195 \text{ km}}{128 \text{ minutes}} \approx 0.329 \text{ km/min} \]

Therefore, Stephen Kiprotich's speed in kilometers per minute is approximately 0.329 km/min.