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Kenneth and Marshall started cycling from the same starting point along a track. Both started cycling at the same time and they did not change their speeds throughout. Kenneth reached the end of the track in 2 hours: Marshall covered only 4/5 of the track in that time. Given that Kenneth's average speed was 2 km/h faster than Marshall, find the length of the track.

 Jun 22, 2024
 #1
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Let's note something really quickly. 

If Kenneth ran 2 hours, then he ran 4 kilometers more than Marshall. 

 

So 4 kilometers is 1/5 of the track's length. 

Thus, we have \(1/5x = 4\) where x is the length of the track. 

We have

\(x=20\)

 

So the track was 20km. 

 

So our answer is 20. 

 

Thanks! :)

 Jun 22, 2024

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