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1.
A woman that likes to spend alot of time in bed (rack) with a man. :A woman who's job is in the rack.

you see an attractive woman & say "duty rack" your friends look around & see her. its a way of saying "check her out"
in public without everyone knowing really what your saying.

"I bet she's got duty rack tonight"
by matt mckee September 09, 2006
 
2.
In the Marine Corps duty rack is a nocturnal post usually filled by the softest or newest boot. All that is required is wear your boxers backwards and sleep on your stomach. And to have an open mind.
PFC Newbie, you got duty rack tonight. May as well wait till morning to shower.
by Beau Steadman August 01, 2008