Car owners fill up when their tanks areexactly half full. At the present time, anaverage of 8.4 cars/hr arrive at a single-pump gas station. It takes an average of3.95 minutes to service a car. Supposethat a gas shortage occurs and panicbuying takes place. All car owners nowpurchase gas when their tanks areexactly 3/4 full. Since each car is puttingless gas into the tank for each visit, theaverage service time has been reducedto 2.86 minutes.Assume that arrival and departure ratesare both exponential. What is thedifference in length of queue before andafter the shortage scenario, in terms ofvehicles? answer an absolute value, andin four decimal places.

Answered: Image /qna-images/answer/1be63b7f-2b88-453c-a274-25ca780de298.jpg

Answered: Car owners fill up when their tanks are…

Car owners fill up when their tanks are exactly half full. At the present time, an average of 8.4 cars/hr arrive at a single- pump gas station. It takes an average of

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Traffic Engineering Question 7 What will be the theoretical maximum capacity (to nearest 10 units)…

A: Given data- Single-lane highway- Speed of the traffic stream V=40 kmph, To Find- The theoretical…

Q: Vehicles begin to arrive to a parking lot at 7:00 AM at a rate of 2000 veh/hour, but the demand…

A: D/D/1 queu analysis is done for linear arrival and service rate . To analyse this problem we have…

Q: At a specified point on a bicycle path, bicycles are assumed to arrive according to a Poisson…

A: The Poisson distribution is given by, Px=e-λ·λxx! ...1

Q: SOLVE - Consider the following situation: A volume of 2,500 veh/h traverses a section of freeway and…

Q: The freeway detector recorded an occupancy of 0.255 over a 15-minute period. If the detector is 1.5…

A: Given data in question Occupancy Time period Detector length Average vehicle length To find out…

Q: A parking garage has a single processing booth where cars pay for parking. The garage opens at 6:00…

Q: Vehicles arrive to a bridge at a rate of 24 vehicles per minute. The capacity of the bridge is…

A: Given: The rate of arrival of the vehicle is 24 vehicles per minute. The capacity of the bridge is…

Q: There is a single gate at an entrance to a recreational park where arriving vehicles must stop to…

A: Arrival rate, λ1=480 vehhr=48060=8 vehminArrival rate, λ2=120 vehhr=12060=2 vehhrService rate, μ1=15…

Q: QUESTION 12 One lane of a uniform section of highway has an optimum density of 70 vehicles per mile…

A: Answer : False

Q: 16. A bus line operates in mixed traffic and carries 4000 passengers per peak hour at an average…

Q: takes about 3 s for a driver having 0.1% alcohol in his system to react to a situation to avoid a…

Q: Given the figure above, compute for the 24-Hour Traffic of Passenger Car: * A.None of the above B.72…

A: Table 1 shows the number of traffic of various vehiclesTable 2 shows the factors.24 hour factorTo…

Q: a. Tests reveal that a normal driver takes about 0.75s before he or she can react to a situation to…

A: Stopping sight distance is given by, SSD=vt+v22×g×fwhere, v= velocity in ms=3060×60ms,t=reaction…

Q: A traffic engineering counted vehicles on Rt. 9 and found that, on average, a vehicle passes in…

Q: There is a single gate at an entrance to a recreational park where arriving vehicles must stop to…

Q: A road has a capacity of 2597 veh/hr, and a free-flow speed of 61 mi/hr. Assuming Greenshield's…

A: Road capacity(qmax)=2597veh/hrFree flow speed (vf)=61mi/hrdensity(k)=72veh/mi=72 veh/mispeed(v)=?

Q: O Solid waste from a park is to be collected in large containers. It is estimated that the average…

Q: 1-9. Automobile repair shops typically recom- mend that their customers change their oil and oil…

A: Given data, Cost of changing oil and filter = $35 Distance travelled every year = 16,000 miles…

Q: If the average daily consumption of a city is 100,000 m³, the maximum daily consumption on peak…

A: Given data: The average daily consumption = 100,000 m3 Peak hourly demand =? We have to calculate…

Q: a.Compute the service rate in vehicles/hr. b.Compute the average waiting time at the stop sign…

Q: Q1. (15 Point) . (olve Two from the following) A. (7.5 Point) A driver takes 3.5 s to react to a…

A: Given Datat=3.5 sv=speed=60mph=96.56 kmphthe distance travelled by the vehicle during the total…

Q: A vehicle takes 1.5 hr to travers a distance of 90 km between two cities. Calculate the journey…

Q: A care package is dropped out of a cargo plane and lands in the forest. If we assume the care…

A: Step 1

Q: 8/Five vehicles are traveling ona given highway with speeds and clear spacing between vehicles as…

Q: akes about 3 ss for a driver having 0.1%% alcohol in his system to do the same. If such drivers are…

A: Normal drivers : SSD=ut+u22a SSD=440.75+4422212SSD=35.195ft

Q: Suppose that a crash occurs on a two lane highway, blocking one lane for 45 minutes and dropping the…

Q: nation site at Canada’s Wonderland at a rate of 300 veh/h. At 8:30 AM, the arrival rate drops to 100…

A: a.) calculate the maximum queue length calculate the maximum queue length=300×0.5-125×0.5calculate…

Q: Tests reveal that average drivers take about 0.75 s before they can react to asituation to avoid a…

A: Average driver takes 517 ft to stop the car after seeing the pedestrians Alcoholic driver takes 616…

Q: Two buses are driving along parall freeways that are 5 miles apart, one heading east and the other…

A: Given: freeway = 5 miles Constant speed of buses = 55 mph apart distance = 13 miles

Q: There is a single gate at an entrance to a recreational park where arriving vehicles must stop to…

A: Park opens at 8:00 AM

Q: On a highway, we know that on average 260 cars arrive at a toll booth in one hour. If we admit that…

Q: Propagation speed of 45 km/hr and that each toll booth takes 6 seconds to service a car. Suppose the…

A: Propagation Speed, V = 45 km/hrTime taken at each toll booth = 6 sec/carNumber of cars in a caravan…

Q: Vehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of…

A: Steps for determining smallest no. of booths: First calculate no. of vehicle arriving on booth.…

Q: A section of a highway is known to have a free-flow speed of 65 mi/h and a capacity of 3500veh/h. in…

A: Linear speed density relation is applied

Q: Question-6 If the stopping distance and average length of a vehicle are 18 m and 6 m respectively.…

A: Given- Stopping distance-d=18 m,avg length L=6 m,speed=10 m/s, It is needed to find the theoretical…

Q: Q2/ The average number of vehicles in each month was calculated as shown in table below. Calculate:…

A: MonthJanFebMarAprMayJunJulAugSepOctNovDecAvg 1 day…

Q: When using the parking space hour supply equation, you must take into account efficiency of the…

A: Brief concept introduction- Parking efficiency- Parking efficiency is defined as the ratio of the…

Q: 4 Solid waste from a park is to be collected in large containers. It is estimated that the average…

Q: Two routes connect an origin and destination with performance function t; = a; + (x¡/cj)² (with t's…

A: Consider the given equation, ti=ai+xici2 For route 1 from the table, t1=5+x122 ...1 For…

Q: نقطة واحدة The maximum density achievable under free flow is Jam density Kj O Operational density Ki…

Q: For a peak hour volume of 840 vehicles, within which the peak 15-minute volume is 244 vehicles, the…

A: Peak hour volume ,V = 840 veh15 -minute volume , V15= 244 veh

Q: Vehicles arrive at the carpark of an airport. Vehicles have to queue at the single entrance gate of…

Q: On a certain trip, Edgar drives 231 km in exactly the same time as Erwin drive 308 km. If Erwin’s…

A: Find erwins rate

Q: (A) Two buses start at the same time towards each other from terminals A and B, 8 km apart. The time…

A: This question is related to the Mechanics and Solid Mechanics from Civil Engineering.

Concept explainers

Intersection Design

An intersection is a location where two or more roads or railways meet or join. The traffic movement is controlled at the intersection that depends on its design and type. It governs the operation, efficiency, speed, capacity, and safety of the highways, airways, and railways. The movement of the pedestrian causes hazards and delays at the intersection.

Question

Car owners fill up when their tanks are
exactly half full. At the present time, an
average of 8.4 cars/hr arrive at a single-
pump gas station. It takes an average of
3.95 minutes to service a car. Suppose
that a gas shortage occurs and panic
buying takes place. All car owners now
purchase gas when their tanks are
exactly 3/4 full. Since each car is putting
less gas into the tank for each visit, the
average service time has been reduced
to 2.86 minutes.
Assume that arrival and departure rates
are both exponential. What is the
difference in length of queue before and
after the shortage scenario, in terms of
vehicles? answer an absolute value, and
in four decimal places.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Problem: Tests reveal that a normal driver takes about 0.75 s before he or she can react to a situation to avoid a collision. It takes about 3 s for a driver having 0.1%% alcohol in his system to do the same Questions 1: if such drivers are traveling on a straight road at 30 mph (44 ft/s) and their cars can decelerate at 23 ft/s^2, determine the shortest stopping distance d for normal driver from the moment he or she see the pedestrians. Express your answer with the appropriate units. Question 2: Determine the shortest stopping distance d for drunk driver from the moment he or she see the pedestrians. Express your answer with the appropriate units. Please help me with both of these questions, make sure to show neat hand writing and explaintions. Thnak you
Tests reveal that a normal driver takes about 0.75s before he or she reacts to a situation to avoid a collision.It takes 3s for a driver having 0.1% alcohol im his or her system to do the same.If such drivers are traveling on a straight road at 50km/h and their cars can decelerate at 0.6m/s^2, determine the shortest stopping distance d for each driver from the moment they see the pedestrians
The relation between speed u (km/hr) and density k (veh/km) is given by u = 70 - 0.7k. The capacity on this road is (veh/day)
Calculate the average flow rate when transporting a liquid at 10 [m3 / h] using a 3in schedule number 40 standard steel pipe. If the specific gravity of the liquid is 0.9, what is the mass-based flow rate?
What are the key factors influencing the adoption of electric vehicles in urban areas?
HW 1. At a given location, the space mean speed is measured as 40 mi/h and the rate of flow as 1,600 pc/h/ln. What is the density at this location for the analysis period?
Compute the annual ESAL for the traffic summarized in the table below, using the fourth power formula and assuming 350 days per year to compensate for reduced traffic on weekends. Weekday Traffic Data Truck Gross Weight Average (lbs) 20,000-40,000 40,100-66,000 66,100-80,000 80,100-110,000 Load on Steering Axle Load Distribution (Front/Rear) Number of Trucks 32,000 58,000 76,000 108,000 Weight (lbs) 3-Axle, All Single equal load singles front, -S2 for one tandem for the rear, -2 for two equal load singles for the trailer) 200 0 0 Trailer 5-Axle, 3-S2 Semi 5-Axle, 3-S2-2 Semi + (3 for one steering (3 for one steering single single and two and two equal load for the 8,000 lbs. Equal for the front, -S2 for one tandem for the rear) 330 800 800 300 12,000 lbs. 60/40 380 320 350 360 14,000 lbs. 30/30/20/20
Drivers arrive at a toll booth at a rate of 5 per minute during peak traffic periods. The time between consecutive driver arrivals follows an exponential distribution. What is the probability that it will take a) more one minute between consecutive drivers? b) between 30 seconds and 90 seconds between consecutive drivers?
3. Tests reveal that a normal driver takes about 0.75 s before he or she can react to a situation to avoid a collision. It takes about 3 s for a driver having 0.1% alcohol in his system to do the same. If such drivers are traveling on a straight road at 30 mph (44 ft/s) and their cars can decelerate at 2 ft/s², determine the shortest stopping distance d for each from the moment they see the pedestrians. Moral: If you must drink, please don't drive!
If the stopping distance and average length of a vehicle are 18 m and 6 m respectively, then the theoretical maximum capacity (vehicles per hour) of a traffic lane at a speed of 10 m/ sec is: (a) 1500 (b) 2500 (b)2000 (d) 3000
13. An incident that occurs on a particular highway results in traffic incurring an average delay of one hour per vehicle. An estimated 2,000 vehicles are impacted by the incident. If the distribution of traffic is comprised of 5% five-axle trucks, 2% three-axle trucks, 4% six-tire trucks, 2% four-tire trucks, 4% medium auto for business purposes, 3% small auto for business purposes, and the remainder are automobiles for personal purposes, what is the value of the total delay incurred by the traffic.