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Answer: The time in New York at a longitude of 100 degrees west when it's 2:00 PM in Greenwich is 8:00 AM.

Explanation: To determine the time in New York at a longitude of 100 degrees west when the time at Greenwich is 2:00 PM, you need to consider the time difference between Greenwich Mean Time (GMT) and the local time in New York.

Every 15 degrees of longitude corresponds to one hour of time difference. Since New York is west of Greenwich, you subtract the relevant number of hours.

New York is in the Eastern Time Zone (ET), which is 5 hours behind GMT during standard time. Given that New York is at a longitude of 100 degrees west, it's 100/15 = 6 hours behind Greenwich.

So, to find the time in New York when it's 2:00 PM in Greenwich:

2:00 PM (GMT) - 6 hours = 8:00 AM

Therefore, the time in New York at a longitude of 100 degrees west when it's 2:00 PM in Greenwich is 8:00 AM.

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