To find Stephen Kiprotich's speed in kilometers per minute from his marathon performance, follow these steps:
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Convert the distance from miles to kilometers: The distance of the marathon is given as 26.219 miles. The conversion factor from miles to kilometers is: \[ 1 \text{ mile} = 1.60934 \text{ kilometers} \] Thus, to convert 26.219 miles to kilometers: \[ \text{Distance in kilometers} = 26.219 \text{ miles} \times 1.60934 \frac{\text{km}}{\text{mile}} \approx 42.195 \text{ km} \]
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Convert the time from minutes to minutes: His finishing time is already in minutes, which is 128 minutes.
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Calculate his speed in kilometers per minute: Speed is calculated as distance divided by time. Therefore, to find the speed in kilometers per minute: \[ \text{Speed (km/min)} = \frac{\text{Distance in km}}{\text{Time in min}} = \frac{42.195 \text{ km}}{128 \text{ min}} \]
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Perform the calculation: \[ \text{Speed (km/min)} = \frac{42.195}{128} \approx 0.3295 \text{ km/min} \]
Thus, Stephen Kiprotich's speed during the marathon was approximately 0.3295 kilometers per minute.
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