Two consecutive intersections that are 100 ft. apart on a one-way street are controlled by identically set, pre-timed traffic signals. Their cycle is one minute and the effective green phase for through traffic is 30 secs. Assuming no turning movements, determine the maximum flow that can get through both intersections as a function of the offset if the spatial extent of queues on the street can be modeled with a triangular q(k) relation with the following parameters: jam density = 3 veh every 80 ft, capacity (saturation flow) = 0.5 veh per sec, and free-flow speed = 40 ft per sec. Use 0, 10 and 20 second offsets for illustration.