one of our guys had a pack trip climbing thru F150. QRH done and went up to F380. Passing F330 on clb - second pack failed and emerg descent conducted (with the rubber jungle) and diverted to nearest suitable airport..
it turned out to be a ram door and outflow valve problem that we incorrectly identified by the LAME on a quick 30 minute turn around..
I would think twice about going high if you have had a trip..