The crack-bang technique works because we can accurately calculate the time difference between a supersonic bullet reaching a certain point and the slower speed-of-sound bang that catches up with it—but only to 500 yards.
So you will appreciate its limitations, we're providing the data below. We've designated 500 yards as the maximum practical distance because beyond that, the time difference becomes too thin for accurate estimation. You cannot slice a second much thinner than 1/5 without using instruments instead of your ear to measure it. Note that the bullet slows down while the "bang" remains constant at the speed of sound, about 1,100 fps.
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Deer hunting is an interesting thing that reminds you of those golden old ages of 19th centuries, where a handsome hunk well equipped with all hunting material rides on horse searching for his target animal either for the purpose of displaying his masculine powers or for enticing and wooing his lady love.