Problem 3 (30%)Problem 11-1 in Roess, Prassas, McShane, 5th ed. (edited - omit part f)Consider the spot speed data below, collected at a rural highway site under conditions ofuncongested flow:Speed Group (mi/h) Number of Vehicles Observed (N)15-20020-25425-30930-351835-403540-454245-503250-552055-60960-650a. Plot the frequency and cumulative frequency curves for this data.b. Determine the median speed, the modal speed, the pace, and the percentage of vehicles in thepace from the curves and show how each was found.c. Compute the mean and standard deviation of the speed distribution.d. What are the confidence bounds of the estimate of the true mean speed of the distributionwith 95% confidence? With 99.7% confidence?e. Based on the results of this study, a second study is to be conducted to achieve a tolerance of±0.8 mi/h with 95% confidence. What sample size is required?

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Answered: Problem 3 (30%) Problem 11-1 in Roess,…

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter4: Traffic Engineering Studies

Section: Chapter Questions

Problem 3P

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A 15 mile section of Kapayapaan Road had the following reported accidents for 6 years from 1992. It is required to compute the accident rates of all accidents
The following data was collected from a lane when the highway was operating at capacity. Spot speeds (mph): 25, 30, 32, 35, 28, 35, 26, 29, 30, 34. Time Headways (sec): 2, 2, 1, 2, 3, 1.5, 2.5, 1.5, 2.5 what is the 85th percentile speed? Space mean speed(mph)? Jam density(veh/mi)? Capacity of the hwy lane?
4-14 Table 4.10 shows data obtained in a travel time study on a section of highway using the moving-vehicle technique. Estimate (a) the travel time and (b) the volume in each direction at this section of the highway. Chapter 4 Traffic Engineering Studies 149 Table 4.10 Travel Time Data for Problem 4-14 No. of No. of No. of Vehicles Vehicles That Vehicles Run Travel Traveling in Орposite Overtook Overtaken by Test Vehicle Direction/ Time Test Number (min) Direction Vehicle Northward 5.25 100 2 2 2 5.08 105 2 1 3 5.30 103 3 1 4 5.15 110 1 5.00 101 6. 5.51 98 7 5.38 97 1 1 8 5.41 112 2 3 5.12 109 3 1 10 5.31 107 Southward 1 4.95 85 1 2 4.85 88 1 3 5.00 95 1 4 4.91 100 2 1 4.63 102 1 5.11 90 1 1 7 4.83 95 8 4.91 96 3 1 9 4.95 98 1 2 10 4.83 90 1
Question 2: The collected data in Table (1) from speed and delay studies by floating car method on a segment of urban road of length 3.5km, running North-South are given in table below: Table (1) Collected field data Trip No. Direction Journey of Trip Total No. of No. of No. of time stopped delay Min. sec. vehicles vehicles vehicles Min. sec. overtaking overtaken from opp. direction 1 N-S 6 32 1 40 4 7 268 S-N 7 14 1 50 3 186 3 N-S 6 50 1 30 280 S-N 7 40 2 00 1 200 6 10 1 10 2 22 N-S 3 250 S-N 8 00 170 7 N-S 6 28 1 40 2 290 8. S-N 7 30 1 40 2 160 Estimate the average travel time for North -South and South – North directions respectively.
ANSWER 22 AND 23
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3. A vehicle platoon was observed over a distance of 1000 ft on a single lane of Oak Street. entering at point A and departing at point B. Vehicle Time at A Time at B (sec) (sec) 1 35 2 (a) Trajectories (b) Avg. Volume Density & Space Mean Speed 37 3 39 4 5 42 5 44 6. 8. 48 (a) Plot the trajectories of these six vehicles on graph paper and (b) calculate the aver- age volume, density. and speed for these six vehicles observed, assuming the first 10 sec- onds at A as the period of observation.
Please solve and explain step by step, thank you
Q1 Fill in the blanks: 1. When the roadway capacity = 1000 pcu/hr and demand = 1500 pcu/hr, the volume = ----------- 2. can be defined as the number of vehicles occupying a given length of lane or roadway at a particular instant. 3. Segment Length 1Km, Speed Limit = 60 Km/hr, the delay of vehicle is ------- if the average speed 45 km/hr. 4. At free flow speed, the density equal to 5. Headway can be defined as
V2
Consider the following data: · Average number of vehicles (overtaking - overtaken) = 1 • Average number of vehicles during trips in opposite direction of traffic flow = 336 · Average journey time when test vehicle is travelling with the stream = 8 min 31 sec. · Average journey time when test vehicle is travelling against the stream = 7 min 24 sec. Average journey time for the above data is min. %3D
Data obtained from aerial photography showed six vehicles on a 600 ft – long section of road. Traffic data collected at the same time indicated an average time headway of 4 sec. Determine (a) the density on the highway, (b) the flow on the road, and (c) the space mean speed.

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