Consider the baggage check-in process of a small airline. Check-in data indicate that from 8 a.m. to 9:30 a.m., 360 passengers checked in. Moreover, based on counting the number of passengers waiting in line, airport management found that the average number of passengers waiting for check-in was 30.

Required:
How long did the average passenger have to wait in line?

Respuesta :

Answer:

[tex]Average = 7.5\ mins[/tex]

Step-by-step explanation:

Given

[tex]Time = 90\ mins[/tex] i.e. 8am to 9:30am

[tex]Total\ Passengers = 360[/tex]

[tex]Average\ Passengers= 30[/tex]

Required

Determine the average waiting time

The average waiting time is calculated as:

[tex]Average = \frac{Average \ Passengers}{Total\ Passengers} * Time[/tex]

[tex]Average = \frac{30}{360} * 90\ mins[/tex]

[tex]Average = \frac{30* 90\ mins}{360}[/tex]

[tex]Average = \frac{2700\ mins}{360}[/tex]

[tex]Average = 7.5\ mins[/tex]

Hence, the average waiting time is 7.5 minutes