In the local time of each, during what times of the 24-hour day in January, and in July, is it the same day of the week in Canberra and in Honolulu? Canberra goes on daylight savings time in summer but Honolulu does not. Standard time in Canberra is GMT plus 10 hours, whereas Honolulu time is GMT minus 10 hours.

What would the answer be if somehow (by magic, perhaps) Australia and Hawaii were to be moved so that standard time in Canberra was GMT plus 12 hours and time in Honolulu was GMT minus 12 hours?

How would the answers to the questions above be affected if the International Date Line were moved to the prime meridian instead of being (roughly) directly opposite as it now is?

(In reply to re(2): A Reference by Richard)

Richard, if you mean that the mid-day hour (noon), was the time at which the day changes. Then,…
in January:
Honolulu -- 15:00:00 to 12:00:00 (Noon)
Canberra – 12:00:00 (Noon) to 09:00:00
and, in July
Honolulu -- 16:00:00 to 12:00:00 (Noon)
Canberra – 12:00:00 (Noon) to 08:00:00
 
Because GMT (Greenwich Mean Time) is time zone dependant, the answer given for the second question remains the same as in my original post.  Yet, (if by magic) we use UTC (Coordinated Universal Time, which is defined as time zone independent), the following might* be valid in answering the second question, modified by the third question:
In January:
Honolulu -- 13:00:00 to 12:00:00 (Noon)
Canberra – 12:00:00 (Noon) to 11:00:00
and, in July
Honolulu -- 14:00:00 to 12:00:00 (Noon)
Canberra – 12:00:00 (Noon) to 10:00:00

*(UTC, though independant of time zones, might still not be valid in identifying time within the zones)

Edited on July 13, 2006, 3:56 pm

Posted by Dej Mar on 2006-07-13 15:22:45