I think the max one way distance should be 1/2N and the average round trip should be 1? please explain it step by step, thanks , remember that paragraph, explain it to the point otherwise I cannot vote!

We can make the preceding analysis more general by supposing that there are N outlets around the loop, as shown by the solid red squares in Figure 14.5. Now the distance between adjacent outlets will be UN, and the maximum one-way trip length will be half that, or l/2N. If we again suppose that people are uniformly distributed around the loop, it follows that the average one-way distance to the nearest outlet is l/4N (which is halfway between 0, the distance of the person closest to a given outlet, and l/2N, the distance of the person farthest from it). The average round-trip distance is twice the average one-way distance, and is thus equal to l/2N. FIGURE 14.5 Distances with N Outlets With N outlets, the distance between adjacent outlets will be UN. The farthest a person can live from an outlet is 1/2N. And the average one-way distance people must travel to reach the nearest outlet is 1/4N. The average round-trip distance is 1/2N