It is difficult to predict exactly how long it may take for a cat to return home if it runs away. The duration varies based on the cat's personality, familiarity with the surroundings, access to food and shelter, and exposure to dangers. Some cats return within hours or days, while others may take weeks or months.
If your cat goes missing, take immediate action: search the neighborhood thoroughly, put up posters, and alert local animal shelters and veterinary clinics.