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This really only comes into play majorly with lots of weak enemies though, against much tougher enemies the difference is negligible. If a multi-shot weapon still has shots left in its attack interval after killing an enemy it will finish the last of them on another enemy, whereas a single shot like Dragon's Maw will dish out all of its damage each interval to one enemy (potentially wasting damage in overkill). A lot of weapons are multi-shot, especially gatling lasers and miniguns, and so it might look like they're attacking faster than a single shot or AOE weapon with the same agility, but it's actually not any faster or slower in terms of overall DPS (which is only a factor of the weapon's damage and dweller's agility).
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On an attack interval AOE splits its damage between all living enemies in the room, multi-shot splits its damage between bursts of fire, while single shot does all the damage in one shot. There are three different kinds of weapons though, AOE, multi-shot, and single shot.
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Weapons don't actually have different attack speeds, attack speed is determined entirely by agility.
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I assume you're talking about quests where this matters.
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