What time is it 45 minutes after 10:20?
(A) 11:00
(B) $9: 35$
(C) $11: 15$
(D) $10: 55$
(E) 11:05
Since there are 60 minutes in an hour, then 40 minutes after 10:20 it is 11:00.

Therefore, 45 minutes after 10:20 it is 11:05.

ANswer: (E)