Ji Yun had no assurance whatsoever of finding the child who had gone missing.
Even though he was aware of almost everything that happened in Lan City during those 58 minutes ten years ago, it didn't mean he was omniscient.
Ji Yun was simply grateful to those people he had witnessed countless times within his 58-minute intervals--their original intentions and perseverance had given him a lot of motivation during his own periods of confusion.
Therefore, when someone was about to give up, Ji Yun just wanted to offer a helping hand.
Perhaps, that elderly auntie merely needed someone to lean on, someone who cared about her persistent efforts, so she wouldn't have to walk alone in this desolate world and be led to mental health issues by starting to doubt the world and herself.
The clues were extremely scarce.
Ji Yun only knew that the child had disappeared around 7 to 5 days before the solar eclipse occurred.