A divided highway has two travel lanes in each direction and capacity of 3600 vehicles/hour in each direction. The traffic flow in the eastbound direction between 9:00 AM and 11:00 AM is 3000 vehicles/hour. A traffic accident shuts down the left lane of the highway in the eastbound direction at 9:10 AM, reducing the capacity to 1800 vehicles per hour. The accident is cleared and all lanes open to traffic after 35 minutes.
Assuming the uniform vehicle arrivals, calculate the following:
(a) Duration of the queue caused by the accident (i. e., queue dissipation time).
(b) Maximum queue length.
(c) Maximum (longest) delay of a vehicle in the queue.
(d) Total queue delay (in vehicle-hours).