Consider an isolated arterial junction with four approaches. Due to high demand, long queues are created during the peak period. To address this problem, the responsible authority has decided to increase the cycle time of the junction from 90 sec to 120 sec. The junction control is based on two phases, one for approaches 1 and 3 and another for approaches 2 and 4. Both phases have equal green phase durations. All four approaches have two lanes and equal saturation flows of 3600 veh/h each. The total lost time is equal to 18 sec. 3 a) What is the additional green time (sec) that will be allocated to each phase as a result of the cycle time increase? b) How many additional vehicles can be served at each cycle in total (for all four approaches) under the increased cycle time, assuming that all approaches will continue being saturated ? c.1) How much shorter (in veh) will the queue of each approach be after one hour of peak period operation (assuming constant saturated demand)? Consider the queue as the total number of vehicles waiting to be served for the whole road and NOT by lane. c.2) How much shorter is the above queue in meters, assuming that the average length of a queuing vehicle equals 6 m? d) Assume now that the saturation flow of each approach remains at 3600 veh/h for the first 36 sec of the green phase but then drops to 2160 veh/h. How many additional vehicles are served in total (for all four approaches) at each increased cycle under these circumstances?