A hiking trail is 20 kilometers long. Park organizers want to build 5 rest stops for hikers with one on each end of the trail and the other 3 spaces evenly between. How much distance will separate successful rest stops.

Ok, so there are two rest stops at the start and end of the trail. This means that the sum of the distances of the rest stops must equal 20 kilometers.

If you can imagine a number line being split by 3 lines, it makes four segments.

We can't solve this using [tex]3D = 20[/tex] because that would mean one of the three rest stops is at the end of the hike

So,

[tex]4D = 20\\D = 5\\[/tex]

ewomazinoade ewomazinoade · Answer 2 · 2021-10-22T10:46:00+02:00

The distance that will separate successful rest stops is 5kilometers.

The total length of the hiking trail is 20 kilometers. There has to 5 stops on the trail with 3 spaces on the trail and one at each end of the trail. Using this information, there would be four spaces between the 5 trails.

In order to determine the distance between each stops, divide the total length of the hiking trail by four.

Distance between each hiking trail = length of the trail / 4

20 / 4 = 5 kilometers.

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