Solve the quantitative aptitude problem below.
A drone's speed in calm air is 15 kmph, and the wind speed is 3 kmph. While traveling in the direction of the wind, the drone covers 108 km. Under these conditions, calculate the distance in km that the drone can cover in the same amount of time when traveling against the wind.

The correct answer is 72.

Step 1: Understand the given values
Speed of the drone in calm air, $u=15\text{km/h}$
Speed of the wind, $v=3\text{km/h}$

Step 2: Calculate the speeds with and against the wind
When traveling in the direction of the wind (downstream/with wind):
$S_{\text{with}}=u+v=15+3=18\text{km/h}$

When traveling against the wind (upstream/against wind):
$S_{\text{against}}=u-v=15-3=12\text{km/h}$

Step 3: Find the time taken to cover 108 km in the direction of the wind
Time, $t=\frac{\text{Distance}}{S_{\text{with}}}$

$t=\frac{108}{18}=6\text{hours}$

Step 4: Calculate the distance covered in the same amount of time against the wind
Distance covered against the wind in 6 hours:
$\text{Distance}=S_{\text{against}}\times t$

$\text{Distance}=12\times 6=72\text{km}$

Therefore, the drone can cover a distance of 72 km when traveling against the wind in the same amount of time.