Two routes are available to carry 1200 vehicles in peak-hour traffic. Route 1 has a posted speed limit of 45 mph and is 5 miles long. The travel time increases by 2x2, where x is vehicles in thousands. Route 2 has a limit of 55 mph and is 6.7 miles long, and the travel time increases by 1.5x. Find the user-equilibrium travel flow and travel time.

Two routes are available to carry 1200 vehicles in peak-hour traffic. Route 1 has a posted speed limit of 45 mph and is 5 miles long. The travel time increases by 2x2, where x is vehicles in thousands. Route 2 has a limit of 55 mph and is 6.7 miles long, and the travel time increases by 1.5x. Find the user-equilibrium travel flow and travel time.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter2: Transportation Systems And Organizations

Section: Chapter Questions

Problem 4P

See similar textbooks

Similar questions

Two routes connect a city and suburb. During the peak-hour morning commute, a total of 5000 vehicles travel from the suburb to the city. Route 1 has a 50km/hr speed limit and 5km in length, Route 2 has a 55km/hr speed limit and 4 km in length. Studies show that the total travel time on route 1 increases 2 mins for every extra 500 vehicles added. Mins of travel time on route 2 increase with the square of the no. of vehicles expressed in 000’s. Determine user equilibrium travel times.
At a given location, the average space velocity is measured at 65 km/h and the speed flow of 1,600 vehicles/hour/lane. What is the density at this location for the period analysis?
The median speed of vehicles on a highway segment during rush hour is 40 mph with Cv of 0.2. Assuming lognormal distribution, find the fraction of time the speed will fall below 10 mph? What about greater than 50 mph?
Two routes connect an origin and a destination and the flow is 15000 veh/h. Route 1 has a performance function t1=4+3*x1, and route 2 has a function of t2=b+6*x2, with the x's expressed in thousands of vehicles per hour and the t's in minutes. (a) If the user equilibrium flow on route 1 is 9780 veh/h, determine the free-flow speed on route 2(i.e. b) and equilibrium travel times. (b) If population declines reduce the number of travelers at the origin and the total origin-destination flow is reduced to 7000 veh/h, determine user equilibrium travel times and flows.
Determine the density of traffic on a highway for free flow speed of 80 km/hr and flow rate of 1200 pc/hr/ln
Assume you are observing traffic in a single lane of a highway at a specific location. You measure the average headway and average spacing of passing vehicles as 3.2 seconds and 20 m, respectively. Calculate the flow, average speed, and density of the traffic stream in this lane. can you explain how to solve thank you
A researcher was positioned at the side of a 2-lane rural highway. He recorded the volume of northbound traffic, aggregated into 15 minute intervals. The recorded volumes were 243, 276, 318 and 490 vehicles for the first, second, third, and fourth 15-minute intervals, respectively. Calculate the peak flow rate (v/h). Provide your answer to the nearest integer.
A large residential area has 1500 households with an average household income of $15,000, an average household size of 5.2, and, on the average, 1.2 working members. Using the model below, predict the change in the number of peak-hour social/recreational trips if employment in the area increased by 20% and household income by 10%. number of peak-hour vehicle-based social/recreational trips per household = 0.04 + 0.018(household size) + 0.009(annual household income [in thousands of dollars]) + 0.16(number of nonworking household members) Round off final answers to whole number.
The traffic volume for a section of a highway can be estimated using the following equation: q = 15.1k[ln (195) - In(k)] Where q is the traffic flow measured in veh/hr and k is the traffic density measured in veh/mi. Based on the provided information, estimate the following (Show all your calculation steps): Maximum flow a. b. Jam density C. Maximum density
Please solve this question with more information Subject: Transportation engineering Q2: Explain different methods of speed measurement? (CLO-I)
A large residential area has 1500 households with an average household income of $15,000, an average household size of 5.2, and, on the average, 1.2 working members. Using the model below, predict the change in the number of peak hour social/recreational trips If employment in the area increased by 20% and household income by 10%. number of peak-hour vehicle-based social/recreational trips per household 0.04 + 0.018(household size)+ 0.009(annual household income in thousands of dollars)+ 0.16(number of nonworking household members)
For this exercise, you are to design a roadway that is to carry 100,000 people a day (excluding truck occupants) – 50,000 in design direction. The vehicles that carry these people include; (1) personal vehicles (average occupancy of 1.2 people per car) 2-2 kip single axles, and (2) buses with 2-22 kip single axles (assume they are filled with an average of 40 passengers). There are also trucks on the roadway and all trucks have 1-40 kip triple axle, 1-32 kip tandem axle, and 1-8 kip single axle. You know that the soil CBR is 6, the initial PSI is 4.5 and the TSI is 2.5. Other values to be used:  All drainage coefficients = 1.0  Reliability = 90%  Overall standard deviation of traffic = 0.50  Concrete Modulus of Elasticity = 5.5 million lb/in2  Concrete Modulus of Rupture = 750 lb/in2  PCC load transfer coefficient = 3.0 Design a rigid and flexible pavement, to last 15 years, for a four-lane road (four lanes in design direction) with 400 trucks per day in the design direction, and…