A four$-$legged intersection, as shown in Figure $4,$ operates under a fixed time signal system. The

phase diagram $($Figure $5),$ phase timing data $($Table $3),$ intersection geometry data, and other

relevant data are given below.

Figure $4$: Intersection Layout. Intersection geometry and other data:

Posted speed limit on all roads: $70k\frac{m}{h}$

$,$ Roads $1$ and $3$ are $48ft$ wide. Roads $2$ and $4$ are $56ft$ wide.

Right turn lanes are $70m$ long

Pedestrian crosswalks on all approaches have $12+x_{?}$ ft effective crosswalk width, where

$x$ is the last digit of your student number.

Average walking speed of pedestrians $=3\mathrm{.}0f\frac{t}{sec}$

Estimated maximum number of pedestrians crossing any of the four approaches is $20$

per phase

Figure $5$: Traffic signal phasingT Table $3$: Traffic signal timing data

Task $3$ Part A:

For the given information above, determine the total lost time in a week. Comment on strategies

to reduce this lost time.

Report results with detailed calculation steps in your report. Note any assumptions made with

justification.

Task $3$ Part B:

In addition to the information provided in Part A$,$ consider that the below information is known

for the Road $3$ approach.

Average speed of $70k\frac{m}{h}$ and average flow of $1200ve\frac{h}{h}$

Jam density of $155ve\frac{h}{k}m$

Saturation flow of $2100ve\frac{h}{h}$ with corresponding density of $70ve\frac{h}{k}m$

Showing detailed calculations, compute the following:

i$.$ Speed of the frontal stationary shockwave at the Road $3$ approach

ii$.$ Speed of the backward recovery shockwave as vehicles start moving at green light

on Road $3$ approach

iii. Compute the queue length at a time point when the queue is dissipated on Road $3$

approach.ask $3$: Analysis of signal timing and shock wave

TAKE X VALUE AS $5.$