With the man in red on Veer's back, the beast went into a full sprint. He had to choose how he ran very carefully, or else he would injury the passenger he was so desperately trying to save. Veer also had to be careful of the bouncing, as that could make things worse as well.
It took maybe 13 minutes to reach the small town, including Veer slowing himself down when approaching. As he walked into the town square with the man in red on his back, no one moved closer. They only offered stares to the beast. Veer then put the man in red on the ground, backing up far enough that a young looking monk walked over to the man in red to investigate his wounds.