Question

Phil and Bill also noticed that the reflected clock oc casionally showed a sensible time, but it didn't match UP2 Clock Reflections the actual time. For example2 Phil and Bill were travelling on a tourist bus. There was a 12-hour digital clock at the front of the bus which displayed times from 1:00 to 12:59. They no- ticed that there was a reflection of the clock in a mirror just above it. Usually the display on the reflected clock was meaningless, but sometimes it actually showed the correct time, as in this example 8:32 8:35 actual time 8:33 8:33 If the reflection of the actual time is a sensible time but not the same as the actual time, then the reflection of the actual time is called a fake time If the reflection of the actual time is the same as the actual time, then the actual time is called a mirror time a List all 12 mirror times that start with 8 b How many different mirror times are there over a d Bill fell asleep at a mirror time. When he woke he mistakenly read the fake time and thought he had slept for 1 hour and 45 minutes. In fact he had slept for 4 hours and 15 minutes. Find the latest time in the afternoon at which Bill could have fallen asleep 12-hour period? c Phil fell asleep at a mirror time before midnight and woke 2 hours and 45 minutes later, at another mirror time but after midnight What was the latest time at which Phil could have fallen asleep?

Answer 1

3:48 8:03 궁:13 2:33 3:13 8:108: S: 30 8:3 8:33 are Ssible 13 12 30 31 33 39 ween minde

me Thjs is the atest time before shen ffevence betseen miyor 4s minute s 1:135:23 2:58 eepirg ime pate time time The seep aakns hau shod possie chances here tPe beteen ting ior time and Pake time is between 2→