"the previous two days we slept at 5,000 ft & 10,000 ft"
Which indicates to me that they drove from Sea Level (The Bay Area) on Friday eve to the T/H PL @ 5K, slept a couple of hours and then climbed to 10K the following day, Sat and then were to summit on Sunday. All this with 24 hours, plus or minus a couple of hours after leaving Sea Level.
Many do just this when doing Whitney in a day. They leave So Cal Friday after work, drive 4-6 hours to Whitney Portal (8K) sleep 3-5 hours at best and then head on up to do Whitney, 14,946. All well within 24 hours of leaving Sea Level.
I am assuming that this is the same basic schedule/scenario that Mark and Tom followed.