Question

Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 3 minutes. When taking off, the run time of an airplane on the runway is 33 seconds. Planes are on average waiting 6 minutes and 48 seconds for take-off. On average there are 16 planes taking off per hour. How many planes are either on the runway or waiting to take off? (Round your answer to 2 decimal places.)

Answer 1

Answer:

1.96 planes

Step-by-step explanation:

The computation of the number of planes is shown below:

As we know that

System Inventory  is

= Flow rate in the system × Throughput time

where,

Flow rate is

= Frequency of taken off

= 16 planes ÷ hour

= 16 ÷ 60 Planes per minute

Throughput time  is

=  runway waiting time + runway Run time

= 33 seconds +  6 minutes × 60 seconds + 48 seconds

= 441  seconds

= 441  per 60 seconds

Therefore the number of planes is

$= \frac{441}{60} \times \frac{16}{60}$

= 1.96 planes