(1 point) Consider the following roadway with intersections A and B that represe

Question

(1 point) Consider the following roadway with intersections A and B that represent the entrance and exit of a pull-through drive-way (path f) along a two-way street. Notice that you can enter the drive-way at B from either direction, however you cannot exit the drive-way at A using a left-turn. If a, b, c, etc represent the number of cars along each path in a given time-frame, set up equations to represent the number of cars using intersections A and B during that time-frame (assuming the same number of cars enter the intersection as leave it.) Set up your equations in the format # cars entering = # cars leaving. intersection A: d+f intersection B: a+c Suppose that U-turns are not allowed (so, for example, a car cannot go from path a to path d). 50 cars enter the road-way from path a and 20 cars enter from path c. At intersection B, 10 cars turn left from path a onto path f. How many cars leave the road-way along path e? Answer:

Explanation / Answer

=> e = d + f

10 out of 50 cars turn left from path a onto path f

=> f = 10

as a car cannot go from path 'a' to path 'd' , remaining 40 cars from path 'a' exit through path 'b'

Now, 20 cars enter from path 'c' enters path 'd'

=> e = d + f = 20 + 10

=> e = 30

Hence the number of cars that leave the road-way along path e = 30

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