In an historical movie, two knights on horseback start from rest 94.3 m apart and ride directly toward each other to do battle. Sir George's acceleration has a magnitude of 0.273 m/s2, while Sir Alfred's has a magnitude of 0.280 m/s2. Relative to Sir George's starting point, where do the knights collide?

If Sir George starts at 0,

1/2 (.273)t^2 = 94.3 - 1/2 (.280)t^2
t = 18.468

check: 46.55 + 47.75 = 94.30

The answer is in there somewhere :-)