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thanks Figure 1 26b is a map of a one way traffic circle. Five one-way streets f

ID: 2987828 • Letter: T

Question

thanks


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;