Question

Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 2 minutes. When taking off, the run time of an airplane on the runway is 36 seconds. Planes are on average waiting 3 minutes and 30 seconds for take-off. On average there are 18 planes taking off per hour. How many planes are either on the runway or waiting to take off

Answer 1

Answer:

1 plane

Step-by-step explanation:

Let's suppose the number of planes waiting or on the runway " P "

the number of planes taking off per hour ' $P_{takeoff}$'

the time for waiting and the runway $T_{wr}$ so:

P = $P_{takeoff}$   x $T_{wr}$

$P_{takeoff}$ = 18 airplanes per hour

we know that 1 min = 60s

36s = 36/60 = 0.6 min

Also, 3 min and 30 s = 3 + 30/60 = 3.5 min

Next to find the time for waiting and the runway

∴$T_{wr}$= 0.6 + 3.5  = 4.1 min/60 (converting into hour)

$T_{wr}$= 0.068 hour

P = 18x0.068 = 1.23

therefore, there is 1 plane either on the runway or waiting to take off

So, there is 1 plane either on the runway or waiting to take off

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