1. Calculate the local time at a place 45°W longitude when the
GMT is 12:00 noon.

9:00 am

Explanation:

Lines of longitude are imaginary lines running from the north pole to the south pole of earth. These lines are used to calculate the time in places. Also when combined with lines of latitude, they are used to give the exact location of a place.

Given the place is at 45°W longitude and the time at  GMT is 12:00 noon.

Degree difference = 0° (GMT) - 45° = -45°

1° = 4 min

time difference = -45° * 4 min per degree = -180 minutes = -3 hours

Therefore the local time at a place 45°W longitude = 12:00 noon - 3 hours = 9:00 am