Okay, you baited me. I just jumped down on the floor and tested myself. I got 75 in 1:19 and stopped there because that’s 100%. And I was tired. I might have had 10 more in me, but not much more.
I actually used to do this and train for it when I was in the Marine Corps. Although the push up wasn’t part of our fitness testing, it was a part of the other services. So some friends and I decided to test ourselves. I had a personal goal of 100 in 2 minutes, but got bored with training for it. My high was in the low 90’s.
When we tested we would group our push ups in sets of ten or fifteen reps and pause in the “up” position to rest a few seconds. We thought that this gave us more lasting power to go the whole 2 minutes.
Anyway, 75 is a very attainable goal and 2 minutes is more than enough time to reach that number. Good luck to your friend.