Answer:
The average waiting time is 1/3 hours (or 20 minutes)
Step-by-step explanation:
Given
[tex]T = 2hours[/tex] --- Time
[tex]D = 80\ customers/hr[/tex] --- Arrivals
[tex]C = 60\ customers/hr[/tex] --- Capacity
Required
Determine the average waiting time
The average waiting time (AT) is calculated using the following formula:
[tex]AT = \frac{1}{2} * T * (\frac{D}{C} - 1)[/tex]
This gives:
[tex]AT = \frac{1}{2} * 2 * (\frac{80}{60} - 1)[/tex]
[tex]AT = 1*(\frac{80}{60} - 1)[/tex]
[tex]AT = (\frac{80}{60} - 1)[/tex]
Remove bracket
[tex]AT = \frac{80}{60} - 1[/tex]
Take LCM
[tex]AT = \frac{80-60}{60}[/tex]
[tex]AT = \frac{20}{60}[/tex]
[tex]AT = \frac{1}{3} hr[/tex]
or
[tex]AT = \frac{1}{3} * 60\ mins[/tex]
[tex]AT = 20\ mins[/tex]
