Recently I stumbled upon the 4minute pushups test, which challenges you to do as many pushups as you can within 4 minutes (you can pause anytime as long as the clock keeps running).
I'm wondering what would be the best strategy for doing this (maximizing the number of pushups). One strategy would be to go do consecutive pushups until failure, rest for some time, then do some more. Another strategy would be to evenly distribute the pushups. For instance, if plan to achieve 100 pushups, then I could do 4x(25 within 1min), or 10x(10 within 24seconds), or 100x(1 within 3.6seconds).
EDIT: To clarify my question: I'm interested in the optimal distribution of breaks and work within the 4mins in order to maximize the achieveable number of pushups. I think this question can be generalized to:
Given a time range, how do I distribute work and breaks over time in order to maximize the total volume?
For instance, I've read somewhere that long distance runners try to run the first half of a race within 51% of their target time, which means that they run with almost constant intensity. If this applies to the pushup challenge, we should do half of the pushups in half of the time. Applying the same reasoning again, we should do 25% of the pushups in 25% of the time, and so on. Eventually this would lead to pausing after each pushup (because then the pushups are perfectly distributed over time).
Of course, another strategy would be the one suggested by Moses in his answer (starting with a high number of consecutive pushups and a long rest, than a smaller number and a shorter rest, and so on).
I'm wondering if there is one strategy that is known to be superior to others.