The saturation flow rate for an intersection approach is $3600$ veh$/$h$.$ At the beginning of a cycle $($effective red$)$ no vehicles are queued. The signal is timed so that when the queue $($from the continuously arriving vehicles$)$ is $13$ vehicles long, the effective green begins. If the queue dissipates $8$ seconds before the end of the cycle and the cycle length is $60$ seconds, what is the arrival rate, assuming D$/$D$/1$ queuing? You must draw a queuing diagram to solve this problem