Question

A vehicular stream at q 1000 veh/hour and u40 miles/hour is travelling on a two-lane highway (one-lane in each direction), and due to oncoming traffic, passing is not possible. Now, a truck puls into the lane travelling at 10 miles/hour. As the appchng vehicles join the slow- moving platoon behind the truck, the concentration rises to 120 veh/mile within the platoon. After 15 minutes, the truck turns off the highway. The vehicles in the platoon behind the truclk can then accelerate and leave the slow-moving platoon at u = 20 miles/hour and with a flow of 1400 veh/hour, which is capacity for this roadway in this condition (no pa) (a) How long will it take for the 10 mile/hour platoon to disappear? (b) How far behind or ahead of where the truck pulled off the highway does the last vehicle going 10 miles/hour accelerate to 20 miles/hour? (c) What is the maximum length of the 10 miles/hour platoon of vehicles (in feet and in vehicles)?

Answer 1