Question

A signalized intersection has a cycle length of 70 seconds. For one traffic movement, the displayed all-red time is set to 2 seconds while the displayed yellow time is 5 seconds. The effective red time is 37 seconds and the total lost time per cycle for the movement is 4 seconds. What is the displayed green time for the traffic movement

Answer 1

To find the displayed green time for the traffic movement, subtract the effective red time from the effective green time.

Step-by-step explanation:

To find the displayed green time for the traffic movement, we first need to determine the effective green time. The effective green time is calculated by subtracting the displayed all-red time, displayed yellow time, and total lost time per cycle from the cycle length. In this case, the effective green time is 70 seconds - 2 seconds - 5 seconds - 4 seconds = 59 seconds.

Next, we determine the displayed green time by subtracting the effective red time from the effective green time. The displayed green time is 59 seconds - 37 seconds = 22 seconds.

Therefore, the displayed green time for the traffic movement is 22 seconds.

Answer 2

the displayed green time for the traffic movement is 30 seconds

Step-by-step explanation:

Given the data in the question;

Cycle length; C = 70 seconds

Displayed all-red time; AR = 2 seconds

Displayed yellow time; Y = 5 seconds

Effective red time; r = 37 seconds

total lost time per cycle;
`t_L` = 4 seconds

the displayed green time for the traffic movement; G = ?

First we determine the Effective green time ( g );

Effective red time; r = Cycle length; C - Effective green time ( g )

so,

Effective green time ( g ) = C - r

we substitute

Effective green time ( g ) = 70 seconds - 37 seconds

Effective green time ( g ) = 33 seconds

Now,

Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle;
`t_L`

i.e

g = G + Y + AR -
`t_L`

we substitute

33 = G + 5 + 2 - 4

33 = G + 3

G = 33 - 3

G = 30 seconds

Therefore, the displayed green time for the traffic movement is 30 seconds