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The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of 96 seconds is shown in the figure (not drawn to scale).
At time t = 0, the light has just turned red. The effective green time is 36 seconds, during which vehicles discharge at the saturation flow rate, s (in vph). Vehicles arrive at a uniform rate, v (in vph), throughout the cycle. Which one of the following statements is TRUE?
  • a)
    v = 600 vph, and for this cycle, average stopped delay per vehicle = 30 seconds
  • b)
    s = 1800 vph, and for this cycle, average stopped delay per vehicle = 28.125 seconds
  • c)
    v = 600 vph, and for this cycle, average stopped delay per vehicle = 45 seconds
  • d)
    s = 1200 vph, and for this cycle, average stopped delay per vehicle = 28.125 seconds
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The queue length (in number of vehicles) versus time (in seconds) plo...
Vehicle arrived up to 60 sec (Red time) = 10
Arrival rate = 1060 × 3600 = 600 V/hV = 600 V/h
Departure at vehicle starts at 60 seconds and ends at 90 seconds.
So, between 60 second to 90 second
Total vehicle departed = Vehicle arrived up to 60 sec + Vehicle arriving between 60 sec and 90 sec = 10 + 600/3600 × 30 = 10 + 5 = 15
So, departure rate = saturation flow = S = 1530 × 3600
S = 1800 vph
Average delay time is given by: td = (C/2(1 − gc)2)/(1 − V/S)C = 96 seconds
g = 96 - 60 = 36 seconds
V = 600 vph
S = 1800 vph
td = 96/2(1 − 36/96)21 − 600/1800
td = 28.125 seconds
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The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of 96 seconds is shown in the figure (not drawn to scale).At time t = 0, the light has just turned red. The effective green time is 36 seconds, during which vehicles discharge at the saturation flow rate, s (in vph). Vehicles arrive at a uniform rate, v (in vph), throughout the cycle. Which one of the following statements is TRUE?a)v = 600 vph, and for this cycle, average stopped delay per vehicle = 30 secondsb)s = 1800 vph, and for this cycle, average stopped delay per vehicle = 28.125 secondsc)v = 600 vph, and for this cycle, average stopped delay per vehicle = 45 secondsd)s = 1200 vph, and for this cycle, average stopped delay per vehicle = 28.125 secondsCorrect answer is option 'B'. Can you explain this answer?
Question Description
The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of 96 seconds is shown in the figure (not drawn to scale).At time t = 0, the light has just turned red. The effective green time is 36 seconds, during which vehicles discharge at the saturation flow rate, s (in vph). Vehicles arrive at a uniform rate, v (in vph), throughout the cycle. Which one of the following statements is TRUE?a)v = 600 vph, and for this cycle, average stopped delay per vehicle = 30 secondsb)s = 1800 vph, and for this cycle, average stopped delay per vehicle = 28.125 secondsc)v = 600 vph, and for this cycle, average stopped delay per vehicle = 45 secondsd)s = 1200 vph, and for this cycle, average stopped delay per vehicle = 28.125 secondsCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of 96 seconds is shown in the figure (not drawn to scale).At time t = 0, the light has just turned red. The effective green time is 36 seconds, during which vehicles discharge at the saturation flow rate, s (in vph). Vehicles arrive at a uniform rate, v (in vph), throughout the cycle. Which one of the following statements is TRUE?a)v = 600 vph, and for this cycle, average stopped delay per vehicle = 30 secondsb)s = 1800 vph, and for this cycle, average stopped delay per vehicle = 28.125 secondsc)v = 600 vph, and for this cycle, average stopped delay per vehicle = 45 secondsd)s = 1200 vph, and for this cycle, average stopped delay per vehicle = 28.125 secondsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of 96 seconds is shown in the figure (not drawn to scale).At time t = 0, the light has just turned red. The effective green time is 36 seconds, during which vehicles discharge at the saturation flow rate, s (in vph). Vehicles arrive at a uniform rate, v (in vph), throughout the cycle. Which one of the following statements is TRUE?a)v = 600 vph, and for this cycle, average stopped delay per vehicle = 30 secondsb)s = 1800 vph, and for this cycle, average stopped delay per vehicle = 28.125 secondsc)v = 600 vph, and for this cycle, average stopped delay per vehicle = 45 secondsd)s = 1200 vph, and for this cycle, average stopped delay per vehicle = 28.125 secondsCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of 96 seconds is shown in the figure (not drawn to scale).At time t = 0, the light has just turned red. The effective green time is 36 seconds, during which vehicles discharge at the saturation flow rate, s (in vph). Vehicles arrive at a uniform rate, v (in vph), throughout the cycle. Which one of the following statements is TRUE?a)v = 600 vph, and for this cycle, average stopped delay per vehicle = 30 secondsb)s = 1800 vph, and for this cycle, average stopped delay per vehicle = 28.125 secondsc)v = 600 vph, and for this cycle, average stopped delay per vehicle = 45 secondsd)s = 1200 vph, and for this cycle, average stopped delay per vehicle = 28.125 secondsCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
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