Final answer:
When it is 2:00 pm on a Saturday in Chicago (90°W), it is 6:00 am on Sunday in Sydney, Australia (150°E), due to Sydney being 16 hours ahead because of the longitudinal difference and the International Date Line.
Step-by-step explanation:
The question involves calculating the time difference between two locations on the Earth based on their longitudes. Specifically, if it is 2:00 pm on a Saturday in Chicago (90°W), we need to find the corresponding time and day in Sydney, Australia (150°E).
Step-by-step Process:
- Determine the total longitudinal difference between Chicago and Sydney. Sydney (150°E) is 240° east of Chicago (90°W).
- Convert this longitudinal difference into time. Every 15° represents one hour of time difference. Therefore, 240°/15° = 16 hours ahead.
- Since it's 2:00 pm in Chicago and Sydney is 16 hours ahead, we add 16 hours to Chicago's time. This results in 6:00 am the following day in Sydney.
Considering the International Date Line and keeping in mind that traveling westward we subtract a day and eastward we add a day, we recognize that Sydney is ahead of Chicago both in time and days due to its position eastward across the International Date Line.
Thus, when it is 2:00 pm Saturday in Chicago, it is 6:00 am Sunday in Sydney, Australia.