Question 19
An alarm clock displays HH:MM from 00:00 to 23:59 and gains 5 minutes per real hour. For example, if set correctly at 00:00, it displays 01:05 at real time 01:00. At real time 00:00, what time should the clock be set to so that its 06:00 alarm rings at real time 06:00? Enter the time as four digits: for example, 5:15 as 0515 and 19:20 as 1920.

