a lot depends on the snow type,. if all powder, MAYBE, if wet, NO your NOT going to push 2 ft far if at all in any time
I have plowed up to 3 ft , a 1/4 mile drive way and it took me about 12 hours to open up, had to add 300 lbs of weight to atv and it was WORK
I would never wait for it to get deeper than 10 inches if possible, this way you can move it faster and push it back farther,
you really need to THINK ahead when plowing snow, as you need room for MORE, old snow turns into rock hard immovable objects
you can plow 6 inches even faster and easier, as , as snow gets deeper, you cannot MOVE it as far, the amount in front of the plow blade drifts back and you end up leaving more snow on the cleared path you just made, making more and more passes needed to have a clean path
if you plow more often with say 6-8 inches, you can do the same job a LOT faster, NOT work the atv as hard either, win win, , and again ALWAYS push snow as far off cleared area as possible, early in winter and late winter, snow will end up having less and less places to put it, so farther back you start the better!