What is the ruling on a woman traveling alone with her children by air to Dammam, and what is the ruling on a man giving a ride to elderly women, whom he does not find attractive, for a distance of 5 kilometers without a mahram?

A woman is permitted to travel if one of her sons has reached the age of puberty and is an adult, because he is considered a mahram (unmarriageable kin) for her. However, if her sons are young, none of them is considered a mahram. It is permissible to transport women for the distance mentioned, provided that no khalwa (private seclusion) occurs between the driver and any of the women.