Solve the following word problem.

The average speed of a Falcon drone is $\frac{7}{5}$ times the average speed of a Hawk drone. A cargo carrier covers 240 km in 5 hours. If the speed of the Hawk drone is $\frac{3}{2}$ times the speed of the cargo carrier, then how much distance will the Falcon drone cover in 2 hours.

The correct answer is 201.6 km.

Let's solve the problem step-by-step by calculating the speed of each vehicle/drone.

Step 1: Calculate the speed of the cargo carrier
Distance covered by cargo carrier = 240 km
Time taken = 5 hours

Using the speed formula, $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$:

$\text{Speed of cargo carrier}=\frac{240}{5}=48\text{km/h}$

Step 2: Calculate the speed of the Hawk drone
The speed of the Hawk drone is $\frac{3}{2}$ times the speed of the cargo carrier.

$\text{Speed of Hawk drone}=\frac{3}{2}\times 48$

$\text{Speed of Hawk drone}=3\times 24=72\text{km/h}$

Step 3: Calculate the speed of the Falcon drone
The average speed of the Falcon drone is $\frac{7}{5}$ times the average speed of the Hawk drone.

$\text{Speed of Falcon drone}=\frac{7}{5}\times 72$

$\text{Speed of Falcon drone}=\frac{504}{5}=100.8\text{km/h}$

Step 4: Calculate the distance covered by the Falcon drone in 2 hours
Using the distance formula, $\text{Distance}=\text{Speed}\times \text{Time}$:

$\text{Distance}=100.8\times 2=201.6\text{km}$

Therefore, the Falcon drone will cover a distance of 201.6 km in 2 hours.