* His eyes adjusted quickly to the murky light.
* Elmer made a quick survey of the narrow room. (Same principle: If he surveys a room, unless there is reason for haste, wouldn't he do it slowly and methodically? Isn't that the idea of surveying?)
* She shuddered and hurriedly smiled an apology.
I can usually omit speed words from my writing
unless I want to emphasize haste.