The blue numbers are the speed of the arrows, the green numbers are the distance to the target in yards, and the red numbers are how much longer it takes the arrow to reach the target than the sound (assuming I did not make a mistake).
distance
speed 10 20 30 40 50 60
200 0.123404 0.246809 0.370213 0.493617 0.617021 0.740426
220 0.109768 0.219536 0.329304 0.439072 0.548839 0.658607
240 0.098404 0.196809 0.295213 0.393617 0.492021 0.590426
260 0.088789 0.177578 0.266367 0.355155 0.443944 0.532733
280 0.080547 0.161094 0.241641 0.322188 0.402736 0.483283
300 0.073404 0.146809 0.220213 0.293617 0.367021 0.440426
320 0.067154 0.134309 0.201463 0.268617 0.335771 0.402926
340 0.06164 0.123279 0.184919 0.246558 0.308198 0.369837
Below is a graph of the amount of time it takes each item (sound, arrow at 200 fps, 220 fps, etc) to reach the target assuming ideal conditions of a vacuum (i.e. constant speed, no slowing down due to drag). It is close enough to give you an idea of what happens.
