Final answer:
To find the LMT at a town 50 degrees east when it's 2:00 am at a town 10 degrees west, calculate the longitude difference and convert it to time. The difference is 60 degrees, which corresponds to 4 hours. Adding this to 2:00 am results in an LMT of 6:00 am.
Step-by-step explanation:
The concept of Local Mean Time (LMT) is tied to the idea that the earth is divided into 24 time zones, each roughly 15 degrees of longitude wide, which corresponds to one hour of time difference. Assuming there are no adjustments for daylight saving time or other anomalies, moving eastward across time zones will add time, while moving westward will subtract time.
To calculate the LMT at a town 50 degrees east from a town at 10 degrees west when the LMT is 2:00 am:
- Note the total difference in longitude is 50 degrees east + 10 degrees west = 60 degrees.
- Since each 15 degrees of longitude represents one hour, divide 60 by 15 to get 4 hours.
- Add these 4 hours to the time at the town 10 degrees west, resulting in an LMT of 6:00 am at the town 50 degrees east.
Therefore, the correct answer is a) 6:00 am.