7) In studying of 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 A(t) = 1 .8 +0.25t - 0.00312. The departure rate function is u(t) = 1.4+0 .1lt. In both of these functions, t is in minutes after the beginning of the observation and (t) and „u(t) are in vehicles per minute. At what time does the maximum queue length occur? a) 49.4 min, b) 2.7 min ,c) 19.4 min, d) 60.0 min
7) In studying of 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 A(t) = 1 .8 +0.25t - 0.00312. The departure rate function is u(t) = 1.4+0 .1lt. In both of these functions, t is in minutes after the beginning of the observation and (t) and „u(t) are in vehicles per minute. At what time does the maximum queue length occur? a) 49.4 min, b) 2.7 min ,c) 19.4 min, d) 60.0 min
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![7) In studying of 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 A(t) = 1.8+0.25t - 0.00312. The departure rate function is u(t) = 1.4 +0
.1lt. In both of these functions, t is in minutes after the beginning of the observation and (t) and
„u(t) are in vehicles per minute. At what time does the maximum queue length occur?
a) 49.4 min, b) 2.7 min ,c) 19.4 min, d) 60.0 min](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43406c9a-3a31-4035-af47-7a4b21b2c023%2Ff7261cfa-66eb-4aa3-866b-3778928363ba%2Ftn37soj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7) In studying of 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 A(t) = 1.8+0.25t - 0.00312. The departure rate function is u(t) = 1.4 +0
.1lt. In both of these functions, t is in minutes after the beginning of the observation and (t) and
„u(t) are in vehicles per minute. At what time does the maximum queue length occur?
a) 49.4 min, b) 2.7 min ,c) 19.4 min, d) 60.0 min
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