Final answer:
To find the longitude of time 'y' when it is 8:00 AM and time 'x' is 2:00 PM (longitude 30° east), we calculate the time difference between the two and convert it to degrees of longitude.
Step-by-step explanation:
To find the longitude of time 'y', we need to calculate the time difference between time 'x' (longitude 30° east) and time 'y' when it is 8:00 AM. We know that each 15 degrees of longitude represents a time difference of 1 hour. So, if time 'x' is 2:00 PM, which is 6 hours ahead of 8:00 AM, the longitude difference would be 6 hours * 15 degrees = 90 degrees. Since we are calculating the longitude of time 'y', which is to the west, the longitude would be 30° east - 90° = 60° west.