Question $1$

$1\mathrm{.}1$ The current ADT in a $4-$lane, divided urban road is measured to be $12000$ vehicle per day. Assume a directional distribution factor $=55\%,k=0\mathrm{.}12$ and average annual traffic growth $=5\mathrm{.}5\%.$ Determine the design hourly volume per direction after $20$ years.

$1\mathrm{.}2$ Determine the Peak Hourly Factor on a road section if $320$ vehicles were counted during an interval of $15$ minutes and no vehicle was observed during the rest of the peak hour. Also describe the type of the flow in this road section.

$1\mathrm{.}3$ Estimate the optimal cycle length and green intervals for the pre$-$timed intersection shown in the sketch below. Assume lost time of $3sec$ per phase, yellow time $=3sec$ and clearance time $=1sec$ in each direction. The prevailing saturation flows are $1700$ and $500$ for $($TH$+$RT$)$ and $($RT$),$ respectively. Ignore pedestrians.

$(20)$