Question
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Figure 1 26b is a map of a one way traffic circle. Five one-way streets feed in or out of the circle as indicated. The numbers represent the average number of cars per minute that enter or leave on the given street at 3:30 p.m. The variables also represent average numbers of cars per minute. As in Exercise 1, write the equations that determine the traffic flow and find the general solution. (Use v as the free variable.) Order the segments from highest traffic flow to lowest. (Note: In this exercise, some of the variables will need to be subtracted. Thus, for example, the node with 60 cars leaving produces the equation 60 = w - v.)
Explanation / Answer
v=x+40;
y=x+90;
z=y-20;
w=z+30;
v=w-60;
using v as free variable x=v-40;
y=v+50;
z=v+30;
w=v+60;
v=v;
arranging in the order of highest ot lowest =
w= v+60;
y=v+50;
z=v+30;
v=v;
x=v-40;