You can make this carpet hover and fly by taking a Magic action and using the carpet’s command word. It moves according to your directions if you are within 30 feet of it.
Four sizes of Carpet of Flying exist. The GM chooses the size of a given carpet or determines it randomly by rolling on the following table. A carpet can carry up to twice the weight shown on the table, but its Fly Speed is halved if it carries more than its normal capacity.
1d100
Size
Capacity
Fly Speed
01–20
3 ft. × 5 ft.
200 lb.
80 feet
21–55
4 ft. × 6 ft.
400 lb.
60 feet
56–80
5 ft. × 7 ft.
600 lb.
40 feet
81–00
6 ft. × 9 ft.
800 lb.
30 feet
RollQuest summary Fly speed 30-80 ft (varies by size); halved if carrying more than normal capacity (max twice capacity).
RollQuest ships the D&D 2024 SRD as a content pack, on a 5e character sheet that does the maths - roll from the sheet and let the numbers work themselves out. Free to start.