James starts classes at $9$ A.M. He has $2$ classes, each class $$45$$ minutes long. After each class, he will take a $$15$$-minute break. When will he finish all $$2$$ classes? 
选项为:A:$10:20$ A.M.  B:$11:00$ A.M.  C:$11:10$ A.M.  D:$11:20$ A.M.  E:$11:30$ A.M.  请回答其中一个选项.