PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 5, Problem 47P
To determine
Thetotal student delay in handing the exams and the longest student queue.
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Two cars P and Q are moving in a racing
track continuously for two hour. Assume
that no other vehicles are using the track
during this time. The expressions relating
the distance travelled d (in km) and time t (in
hour) for both the vehicles are given as
P: d = 60t
Q: d = 60t²
Within the first one hour, the maximum
space headway would be
Question 2
Trucks begin to arrive at a truck weighing station (with a single scale) at 8:00
A.M. at a deterministic time-varying rate of λ (t) = 5.2 - 0.24t [X(t) is in veh/min
and t in minutes]. The departure rate is a constant 2.2 veh/min (time to weigh
a truck is 27.27 seconds).
(i) When will the queue that forms be cleared?
(ii) What will be the maximum queue length?
(iii) Determine the total delay
(iv) Estimate the average time delay per vehicle
Quèstion 14
The following data were taken on five cars traversing a 2-km highway.
Car
Time (minutes)
A
1.9
1.5
1.7
1.6
1.9
Determine the space mean speed, in kph. Express your answer in 2 decimal places.
A Moving to another question will save this response.
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Chapter 5 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10P
Ch. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - The arrival rate at a parking lot is 6 veh/min....Ch. 5 - Prob. 16PCh. 5 - At the end of a sporting event, vehicles begin...Ch. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Vehicles begin arriving at a single toll-road...Ch. 5 - Vehicles begin to arrive at a toll booth at 8:50...Ch. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Vehicles begin to arrive at a parking lot at 6:00...Ch. 5 - At a parking lot, vehicles arrive according to a...Ch. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Vehicles arrive at a recreational park booth at a...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - A truck weighing station has a single scale. The...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Vehicles leave an airport parking facility (arrive...Ch. 5 - Vehicles begin to arrive at a parking lot at 7:45...Ch. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - A theme park has a single entrance gate where...Ch. 5 - Prob. 54PCh. 5 - Prob. 55P
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Similar questions
- The arrival function and departure functions at a traffic facility are given below: Arrival function, A(t) = 8t+0.95t2 • Departure function, D(t) = 2t+1t2 where, t = time in minutes. Determine the value of t (in minutes) at which the queue length is the maximum.arrow_forwardA parking garage has a single processing booth where cars pay for parking. The garage opens at 6:00 A.M. and vehicles start arriving at 6:00 A.M. at a deterministic rate of Ȝ(t) = 6.1 − 0.22t where Ȝ(t) is in vehicles per minute and t is in minutes after 6:00 A.M. What is the maximum constant departure rate (from 6:00 A.M. on) needed to ensure that the queue length does not exceed 10 vehicles? Answer in veh/min. final answer: 8.21arrow_forwardAnswer questions 13, 14, 15 and 16 using the following paragraph: Vehicles arrive at the carpark of an airport. Vehicles have to queue at the single entrance gate of the carpark at 9:00 AM. The arrival rate is constant at 240 veh/hr. However, between 9:00 and 9:40 AM, the parking ticket machine at the entrance works slowly due to a malfunction, and consequently, each vehicle spends 30 seconds to take the parking ticket. After 9:40 AM, the problem is solved and vehicles spend only 10 seconds at the gate to take the ticket. What is the longest vehicle queue? Select one: a.70 b.64 c.80 d.20 OOarrow_forward
- 10-Trucks begin to arrive at a truck weigh station (with a single scale) at 6:00 A.M. at a deterministic but time-varying rate of 2(t)= 4.3-0.22t where (t) is in veh/min and t is in minutes. The departure rate is a constant 2 veh/min (time to weigh a truck is 30 seconds). When will the queue that forms be cleared, what will be the total delay, and what will be the maximum queue length?arrow_forwardQuestion 1 In studying traffic flow at a highway toll booth over a course of 60 minutes, it is determined that the arrival and departure rates are deterministic, but not uniform. The arrival rate is found to vary according to the function of A (t) = 1.8 2 +0.25t -0.0030t. The departure rate function is u(t) =1.4 + 0.11 t. In both of these functions, t is in minutes after the beginning of the observation and X(t) and u(t) are in vehicles per minutes. (i) When will the queue that forms be cleared? (ii) What time does the maximum queue length occur and what will be the corresponding queue length? (iii) Determine the total delay (iv) Estimate the average time delay per vehiclearrow_forwardthe following data were taken on five cars traversing a 1.3 km highway. car time (mins.) a 1.7 b 1.4 c 1.6 d 1.2 e 1.7 determine the space mean spead, in kph. express your answer in 2 decimal places.arrow_forward
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- A parking garage has a single processing booth where cars pay for parking. The garage opens at 6:00 A.M. and vehicles start arriving at 6:00 A.M. at a deterministic rate of 3(t) = 6.1 - 0.22t where 3(t) is in vehicles per minute and t is in minutes after 6:00 A.M. What is the minimum constant departure rate (from 6:00 A.M. on) needed to ensure that the queue length does not exceed 10 vehicles? Answer in veh/min. 4 (with margin: 0.3)arrow_forwardVehicles arrive at the parking booth of SM City Tarlac at a rate of 250 vehicles per hour. If the attendant can process a vehicle in 12 seconds, determine the average length of the queue if both the arrivals and departures are exponentially distributed. Note: Answer must be whole number. No need to include the unit. (i.e. 2)arrow_forwardQuestion 27 The following data were taken on five cars traversing a 1.3-km highway. Car Time (minutes) 1.6 1.1 C 1.6 1.7 1.6 Determine the space mean speed, in kph. Express vout answet i2 decimal places.arrow_forward
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