The northbound approach of a signalized intersection carries…

The northbound approach of a signalized intersection carries a flow of 1,200 veh/h/ln at a speed of 45 mi/h.  The duration of the red signal indication for this approach is 18 sec. If the saturation flow is 2,000 veh/h/ln with a density of 75 veh/ln, the jam density is 150 veh/mi.  Determine the length of the queue at the end of the red phase. (Please show all work as best as possible and type out anything that you would like to clearly articulate)