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Don't worry about the slackers - your issue is being over-assigned.
Go to your boss and say:
You've given me some tasks to do (B), which are in addition to the tasks I have already been working on (A). I do not have enough time to do both. (if necessary, have an estimate of how long each of these tasks takes, and any deadlines if applicable).
Which ones should I focus on?
If you boss says something boneheaded like "both" then repeat and rephrase the question: I do not have enough time to do both well; can you recommend a way to do them better/faster or do you have a preference for which one is not given my full priority?
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