It took them two full days of flying to reach King's Landing.
On the first day, they remained over the Summer Sea, with nothing below but blue water and the occasional merchant ship. When those ships spotted the three dragons overhead, they lowered their sails from afar, then gathered on deck, just as they had when they saw Viserys before.
But Daenerys and Arya did not know what they meant, nor did they care to find out. They flew straight over their heads.
Whenever Acmot grew tired, he found a rock out at sea to rest on. Daenerys would then take provisions out of the cloth bag, and she and Arya would replenish their strength with a simple meal and milk from their flask.
On the second day, they flew over a vast stretch of dark water. Arya looked down and said it was the Narrow Sea. Once they had crossed it, they followed the coastline north.
By evening, the outline of King's Landing appeared in their field of view.
Daenerys had kept Acmot and the others flying high, above the clouds. She did not want too many people to see the dragons. There was no particular reason for it, except that Viserys had told her before that the sudden appearance of dragons would frighten people.
She was not as indifferent as Viserys. She did not want to frighten anyone; she only wanted to see her brother. Besides, she hoped her sudden arrival in King's Landing would give Viserys a surprise.
When they flew directly over King's Landing, Daenerys looked down, wanting a closer look at the stronghold that had once symbolized her family's power.
But she was rather disappointed. King's Landing was much smaller than she had imagined, and far more chaotic. The houses were packed tightly together, looking