Final answer:
Traveling west 45 degrees from 75 degrees west longitude where it is 3 PM, you would cross three time zones and it would be 12 PM (noon) at your new location.
Step-by-step explanation:
If it is 3 PM where you are at 75 degrees west longitude and you travel west another 45 degrees, you will be at 120 degrees west longitude. Since the Earth is divided into 24 time zones, each being 15 degrees of longitude wide, we know that each time zone represents one hour of time difference. Therefore, every 15 degrees you travel west, it will be one hour earlier.
Starting at 75 degrees west longitude at 3 PM and going west to 120 degrees west, we are moving across three time zones (because 45 divided by 15 equals 3). So, for each time zone crossed, we subtract one hour from the local time.
Therefore, after traveling west 45 degrees from 75 degrees west longitude:
- 3 PM minus 1 hour = 2 PM
- 2 PM minus 1 hour = 1 PM
- 1 PM minus 1 hour = 12 PM (noon)
The time would be 12 PM (noon) at 120 degrees west longitude.