This is an accurate picture of what would happen in the tabletop game.



Heavy Bolter Marine : Above average range (36"), 3 shots, needs 3+ to hit, needs 3+ to wound another Marine.



Berserker on the charge: Melee range, 4 attacks, needs 3+ to hit another marine, needs 3+ to wound another marine (On the charge, 4+ afterwards)



The Heavy bolter wins since the Berserker won't ever get in range on a basic 1 vs 1.



Berserkers are mainly built to murder Guardsmen, Tau infantry, Eldar, Scouts, and other armor 4+ models. They're crap against marine equivalents. Ironically, the Heavy-Bolter is /also/ for that purpose, with the added benefit of having good range, with the drawback that they don't ignore cover, which those type of models /love/.