Kon has to trust Kid here. There's not much else he can do, if he just runs wildly he'll get knocked off the ledge. He has no idea what is at the bottom, but it is probably very deadly.

So he runs, staying right behind Kid, though oddly enough he finds himself going a bit too fast, so fast that, despite how fast Kid is going, he would be bumping into Kid if he didn't slow down. Which is really weird, so he pulls himself back a bit to try to just keep pace with Kid.

When they reach the middle, Kon nods at Kid. "Yeah, I think we can make it," he says, "Just...do the figuring-out-thingy again and I think we can make it."

Hopefully. Kon doesn't want to die before he figures out just who he is.