Kathy started doing her homework at $$09:15$$. She used $$2\text{h }45\min $$ to complete her homework. Then she took a nap for $$20$$ minutes before she had her lunch, At what time did she have her lunch ? ． 
选项为:A:$$10:20$$  B:$$11:35$$  C:$$12:00$$  D:$$12:20$$  请回答其中一个选项.