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.

derpmcfearson Jun 22, 2024

#1**+1 **

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! :)

NotThatSmart Jun 22, 2024