QUESTION 12 At an entrance to a toll bridge, four toll booths are open. Vehicles arrive at the bridge at an average rate of 900 veh/h, and at the booths, drivers take an average of 12 seconds to pay their tolls. Both the arrival and departure headways can be assumed to be exponentially distributed. How would the average waiting time in the queue change if a fifth toll booth were opened? The waiting time is reduced by 2.5 seconds. The waiting time is reduced by 4.7 seconds. O The waiting time is reduced by 6.1 seconds. The waiting time is reduced by 7.9 seconds. O The waiting time is reduced by 9.8 seconds.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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QUESTION 12
At an entrance to a toll bridge, four toll booths are open. Vehicles arrive at the bridge at an average rate of 900 veh/h, and at the booths, drivers
take an average of 12 seconds to pay their tolls. Both the arrival and departure headways can be assumed to be exponentially distributed. How
would the average waiting time in the queue change if a fifth toll booth were opened?
The waiting time is reduced by 2.5 seconds.
O
The waiting time is reduced by 4.7 seconds.
The waiting time is reduced by 6.1 seconds.
The waiting time is reduced by 7.9 seconds.
O
The waiting time is reduced by 9.8 seconds.
Transcribed Image Text:QUESTION 12 At an entrance to a toll bridge, four toll booths are open. Vehicles arrive at the bridge at an average rate of 900 veh/h, and at the booths, drivers take an average of 12 seconds to pay their tolls. Both the arrival and departure headways can be assumed to be exponentially distributed. How would the average waiting time in the queue change if a fifth toll booth were opened? The waiting time is reduced by 2.5 seconds. O The waiting time is reduced by 4.7 seconds. The waiting time is reduced by 6.1 seconds. The waiting time is reduced by 7.9 seconds. O The waiting time is reduced by 9.8 seconds.
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