Subject is Transportation Engineering The answer to the question is provided what need a is a detailed explanation of each part of the question of how the came about the answers shown in simplest terms 11. A police officer is checking the license and registration of the vehicles crossing a control point. The officer takes2 minutes per vehicle to check the information. After 45 minutes, a second officer arrives (also needs 2 minutes pervehicle). If vehicles arrive at a rate of 40 vehicles per hour, answer the following: (D/D/1)Arrival rate = 40 veh/hr = 0.6667 veh/minTime to check (first 45 minutes) = 2 min/vehService rate (first 45 minutes) = 0.5 veh/minTime to check (after 45 minutes) = 2/2 min/veh = 1 min/vehService rate (after 45 minutes) = 1 veh/minArrival equation (t in minutes):Vehicles = 0.6667 * tService equation after 45 minutes (t in minutes):Vehicles 1* (t-45) + 0.5 * 45 = t-45+ 22.5 = t - 22.5Vehicles = t - 22.52 equations and 2 unknownsFind the solution when the vehicles are the same:0.6667 t = t - 22.5Vehicles (veh)453022.522.5 t 0.6667 t22.5 0.3333 tt = 22.5/0.3333t = 67.5 minTherefore: Vehicles = 67.5-22.5 = 45 veh*Italic and orange color to distinguish from the 45 minutes and aid comprehension.b. What is the average queue length?Total delay / Time with queue = 253.125/67.5 = 3.75 vehTotal Delay0.6667 veh/mind. What is the average waiting time in queue?Total delay / Vehicles affected by queue = 253.125/45 = 5.625 min0.5 veh/minc. What is the maximum queue length?Largest difference between arrivals and serviced vehicles = 30-22.5 = 7.5 veh45a. What is the total delay?Think of two triangles in this case where the maximum queue length will be the base for both.Maximum queue length = 0.6667*45-0.5*45 = 7.5 veh12*7.5*45 + ½ *7.5*(67.5-45) = 253.125 veh-min1 veh/minQueue length (maximum)67.5▸ Time (min)

1. First, inputs given in questions are converted into same unit to maintain homogeneity. For an…

11. A police officer is checking the license and registration of the vehicles crossing a control point. The officer takes 2 minutes per vehicle to check the information. After 45 minutes, a second officer arrives (also needs 2 minutes per vehicle). If vehicles arrive at a rate of 40 vehicles per hour, answer the following: (D/D/1)

11. A police officer is checking the license and registration of the vehicles crossing a control point. The officer takes 2 minutes per vehicle to check the information. After 45 minutes, a second officer arrives (also needs 2 minutes per vehicle). If vehicles arrive at a rate of 40 vehicles per hour, answer the following: (D/D/1)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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