No way.The only way you could get those results would be to play games with the sights/arrows. I.E. Set up the slow bow "just a touch" hot at 20, and the fast bow just a tad bit low... Maybe put feathers and an ultralight arrow on the fast bow, blazers and a heavy arrow on the slow one. Playing games with the trajectory andspeed retention- Cheating. You could come close. But no way is there 1" of difference between those two bows, as described.

The Physics: 2 objects traveling 120 feet, with one at 315 and the second at 275...
(I'm horrible at math, so if I'm wrong - just show me what I did wrong)

Object 1 will be in the air for .38 seconds, while Object 2 will be in the air for .44 seconds, a difference of .06 seconds.

275/1 = 120/.44 and 315/1 = 120/.38

In .38 seconds, a falling body will fall 27"

In .44 seconds, falling body #2 will fall 37"

d(meters1)=1/2(9.8)(.38)(.38)
d(meters1)=.70756
d(inches1)= .70756 x 39
d(inches1)= 27

d(meters2)=1/2(9.8)(.44)(.44)
d(meters2)=.94864
d(inches2)=.94864 x 39
d(inches2)= 37