To answer this question, we need to know the time difference between the two locations and use that to calculate the longitude of the second location.
First, we need to convert the local time of 1:15 pm to a 24-hour clock time, which is 13:15.
Next, we need to calculate the time difference between the two locations. Since the starting point is at longitude 88 degree west, which is 5 hours and 52 minutes behind Greenwich Mean Time (GMT -5:52), we can use this as a reference point.
If it is 4 am at longitude 88 degree west, then it is 4 am - 5:52 hours = 10:08 am GMT.
Therefore, the time difference between the two locations is:
Local time - GMT = 13:15 - 10:08 = 3 hours and 7 minutes
To convert this time difference to a longitude, we need to know that the Earth rotates 360 degrees in 24 hours = 15 degrees per hour.
So, we can calculate the longitude difference as:
Time difference/Time taken per degree = (3 hours and 7 minutes) / (1 hour per 15 degrees) = 12.47 degrees
Finally, we can use the starting longitude of 88 degrees west to find the longitude of the second location:
Longitude = Starting longitude + Longitude difference = 88 degrees west + 12.47 degrees = 100.47 degrees west
Therefore, the longitude of the second location would be 100.47 degrees west.