There's a reason why certain athletes are great distance runners and a reason why some are great sprinters and a reason why very few, if any, are great at both. Different people, whether you want to call it genetics or whatever, are naturally better at certain things, speed is one of those things.
Of course training can improve speed (or more accurately your time), but you aren't going to magically turn a guy who runs a 5.2 into a guy who runs a 4.4, because speed is something that cannot be taught or magically instilled into a person. You can train to get the most out of your speed, but you are either born with it or not.
The bench press is one of the most overrated ways to measure strength. Most players spend more time benching to prep for the combine than they have in any of their training throughout their college careers. At NO point are you going to be laying on your back pushing weight up in any sport that I am aware of. Bench pressing uses limited muscles unless you are doing it wrong and squirming all over the place.
Not only have I played sports I have coached both track and football at various levels including the college level. While working with some very excellent coaches I have learned these things. So I have been "using my head."