Traffic flow on a three$-$lane $($one direction$)$ freeway can be described by the Greenshields model. One lane of the three lanes on a section of this freeway will have to be closed

to undertake an emergency bridge repair that is expected to take $2$ hours. It is estimated that the capacity at the work zone will be reduced by $35$ percent of that of the section

just upstream of the work zone. The mean free flow speed of the highway is $50m\frac{i}{h}$ and the jam density is $115ve\frac{h}{m}\frac{i}{ln}.$ If it is estimated that the demand flow on the

highway during the emergency repairs is $85$ percent of the capacity, using the deterministic approach, determine the following.

$($a$)$ the maximum queue length $($in veh$)$ that will be formed

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. veh

$($b$)$ the total delay $($in h$)$

$h$

$($c$)$ the number of vehicles that will be affected by the incident

veh

$($d$)$ the average individual delay $($in min $)$

min