Question $1(40$ points$)$:

For the geometric and traffic characteristics shown below, each approach was assumed to have

one dedicated left$-$turn lane, one through lane, and one through$-$right lane.

Calculate the signal cycle length and phase lengths for the intersection using the

Webster method. $(30$ points$)$

Recalculate the signal cycle length of Question $1$ using the HCM method and an

intersection critical $\frac{v}{c}$ ratio of $0\mathrm{.}85.(10$ points$)$

Assume the following saturation flows:

Through lanes: $1600ve\frac{h}{h}\frac{?}{ln}$

Through$-$right lanes: $1400ve\frac{h}{h}\frac{?}{ln}$

Left lanes: $1000ve\frac{h}{h}\frac{?}{ln}$

Left$-$through lanes: $1200ve\frac{h}{h}\frac{?}{ln}$

Left$-$through$-$right lanes: $1100ve\frac{h}{h}\frac{?}{ln}$

Assume the phasing scheme:

Assume yellow time per phase is $3$ seconds; the all$-$read interval is $1$ second. The lost time of

each phase is the total of yellow time and all$-$red time.