What the Army calls a push-up and what civilians call a push-up is often very different. It is very rare to find a soldier who regularly does 100 push-ups to standard; I know of only one person who can do it. I did 61 the other day which is pretty good for a former obese 38 year old. BTW, we only have 2 minutes to complete this; resting in the authorized position (downward dog) is allowed.
If your serious about going to the Rangers you need to be training for RASP:
"Go For Broke"
Fat Kine-230/24% @ 6'2"