Seriously though, unless they want a bunch of fat and fascist pigs that rely on their equipment to do their job for them they should increase the difficulty of this test. My suggestion.
300m in 1min.
1.5Miles in 11:15
29 Sit-Ups is enough to pass for the Army as a 40yr. old, 40 push-up took me two weeks to get to when I weighed 190lbs., 300m time isn't fast but it's based on something realistic for a 7min. miler, only took me a couple time trials a week and some 2-3mile "long runs" (three miles is painful if you're not in good shape though, no lie I hated my first three miles) for a month to get that, and and 1.5 in 11:15 is, what, 7:30 pace?
I suggest these standards because it requires some work, but a month before applying and testing for academy shouldn't be a problem for an otherwise healthy person who really wants to become a law enforcement agent.