UKMT Grey Kangaroo, 2022

In my office there are two digital 24-hour clocks. One clock gains one minute every hour and the other loses two minutes every hour. Yesterday I set both of them to the same time but when I looked at them today, I saw that the time shown on one was 11:00 and the time on the other was 12:00. What time was it when I set the two clocks?

(A) $23{:}00$ (B) $19{:}40$ (C) $15{:}40$ (D) $14{:}00$ (E) $11{:}20$