Had you asked me yesterday if I could push-press 45kg (99#) 55 times and do 55 strict pullups in 15 minutes, I'd have said "No." But it's amazing what one can do by breaking things down into smaller sets.
Squat 3 sets of 5 reps at 69kg (on 2 min rest)
Press 3 sets of 5 reps at 39 kg (on 2 min rest)
Rest 5 min
As Many Rounds As Possible (AMRAP) in 15 minutes:
1 Round = [1 Push-Press, 1 Pullup, 3Push-Press, 3 Pullup, 5 Push Press, 5 Pullup]
For the Push-Presses I used a 45kg bar. I was able to get 6 full rounds completed, plus 1 more push-press and one pullup. Very tricky.
Here's a short vid - the last 2 reps of my press at 39kg. I tried to keep my head more in line with my spine. I'm pretty happy with this, I have no doubt that I'm locking out overhead. If anyone has feedback, I'd like to hear it in the comments section.