Answer:
Option (d) 2 min/veh
Explanation:
Data provided in the question:
Average time required = 60 seconds
Therefore,
The maximum capacity that can be accommodated on the system, μ = 60 veh/hr
Average Arrival rate, λ = 30 vehicles per hour
Now,
The average time spent by the vehicle is given as
⇒
thus,
on substituting the respective values, we get
Average time spent by the vehicle =
or
Average time spent by the vehicle =
or
Average time spent by the vehicle =
or
Average time spent by the vehicle = hr/veh
or
Average time spent by the vehicle = min/veh
[ 1 hour = 60 minutes]
thus,
Average time spent by the vehicle = 2 min/veh
Hence,
Option (d) 2 min/veh