Final answer:
The cruising speed of an airplane that travels 1 kilometer in 1/12 of a minute can be calculated as 12 km/min. Converting this to km/h by multiplying by 60 gives a cruising speed of 720 km/h.
Step-by-step explanation:
An airplane that cruises 1 kilometer in 1/12 of a minute is demonstrating a specific cruising speed. To find the airplane's cruising speed in kilometers per minute, we divide the distance by the time. Since the airplane cruises 1 kilometer in 1/12 of a minute, we do the following calculation:
Speed = Distance / Time
Speed = 1 km / (1/12) min
Speed = 1 km × (12/1) min-1
Speed = 12 km/min
To express the speed in kilometers per hour (km/h), we multiply the speed in km/min by the number of minutes in an hour, which is 60:
Speed in km/h = 12 km/min × 60 min/h
Speed in km/h = 720 km/h
The cruising speed of the airplane is 720 km/h.