The Transporter
Premier Wheelman
Beast can lift approximately 10 tons. He has cat-like reflexes, acute sense of hearing and smell (most definitely more keen than Wolverine's, especially after undergoing a second mutation). So basically, his positive attributes are that he's stronger, faster and smarter than Wolverine.
Wolverine, on the other hand, has the nudge when it comes to fighting experience, healing factor and finishing capability (one puncture can end it all), although I think he'd have an extremely hard time trying to land a hit on Beast with all that metal weighing down on him. It would be much like the Bully in Spiderman 1 (the move where he's played by Tobey Maguire) that tries hitting Peter Parker. Spidey's reflexes were so acute that everything seemed like it was in slow motion.
Taking all this into account I think Beast takes the fight 6/10. Once again, I think it all comes down to smarts and strategy in this fight. Beast's best bet is to ambush Wolverine, and if he's lucky enough to find a body of water near him, drown Wolverine, or choke him out (if it's even possible with an adamentium neck, but then again you needn't snap a regular person's neck to choke them out anyway). Beast wins via rear-naked choke while holding down Wolverine's arms with his feet. Close fight, nearly 50-50. cat