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Kenyan Eliud Kipchoge holds the world record for the men's marathon at 2:01:39 (2 hours, 1minutes, 39 seconds) which he set in the 2018 Berlin Marathon. Calculate Kipchoge's average speedfor the marathon.

Sagot :

ANSWER:

5.78 m/s or 20.81 km/h

STEP-BY-STEP EXPLANATION:

A marathon is a long-distance race that consists of traveling a distance of 42195 meters.

Now, we calculate the total time in seconds, knowing that:

1 hour is 3600 seconds

1 minute is 60 seconds

Therefore:

[tex]\begin{gathered} t=2\text{ h}\cdot\frac{3600\text{ s}}{1\text{ h}}+1\text{ m}\cdot\frac{60\text{ s}}{1\text{ m}}+39\text{ s} \\ t=7299\text{ s} \end{gathered}[/tex]

The speed is equal to the distance traveled in a given time, therefore:

[tex]\begin{gathered} s=\frac{d}{t}=\frac{42195}{7299} \\ s=5.78\text{ m/s} \\ s=5.78\frac{m}{s}\cdot\frac{3600\text{ s}}{1\text{ h}}\cdot\frac{1\text{ km}}{1000\text{ m}} \\ s=20.81\text{ km/h} \end{gathered}[/tex]

Average speed is 5.78 m/s or 20.81 km/h