Question $1(4$ points$)$

The saturated flow rate for a pretimed signalized intersection approach is $1800ve\frac{h}{h}.$ The cycle length is $80$ seconds. It is known that the arrival rate during the effective green is twice the arrival rate during the effective red. During one cycle, there are $5$ vehicles in queue at the beginning of the cycle $($the beginning of the effective red$)$ and there are $9$ vehicles in queue at the end of the effective red $($the beginning of the effective green$).$ If the queue clears exactly at the end of the effective green and D$/$D$/1$ queuing applies, determine the total vehicle delay on the approach in the cycle $($in veh$-$s$).$ Choose the large value of arrival flow.

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