Three southbound lanes of 1-95 have a capacity of 1,800 veh/hr/lane. It has been

Question

Three southbound lanes of 1-95 have a capacity of 1,800 veh/hr/lane. It has been determined that the following link performance function describes the congestion along a particular 1-mile segment: ,where S(Q) and to are in minutes. During the AM peak period, it takes traffic an average of 1.75to minutes to travel that 1-mile segment. What is the peak hour volume (veh/hr/lane) on this segment? Assume that the current three-lane volume on this segment is 4,800 veh/hr and that t0 = 1 min. If one of the three lanes were to be converted to a HOV lane and 25% of the current vehicles would be eligible to use it, what would be the average travel time in the HOV lane over the 1- mile segment? What would be the travel time in the two remaining lanes?

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