It is 2:30 p.m. in place x whose longtitude is 25degree east . Calculate the longtitude of a place y when the local time is 10 p.m.
To determine the longitude of place y when the local time is 10 p.m., we first need to understand the concept of time zones and how they relate to longitudes.
Time zones are regions of the Earth that have the same standard time. They are typically 15 degrees of longitude wide and centered on standard meridians. The reference point for time zones is the Prime Meridian, which has a longitude of 0 degrees.
To calculate the longitude of place y, we need to consider the time difference between place x and place y. For every hour of time difference, there is typically a 15-degree longitude difference.
Given that place x is at a longitude of 25 degrees east and the local time there is 2:30 p.m., we need to calculate the time difference between place x and place y.
To do this, we subtract the local time of place x (2:30 p.m.) from 12:00 p.m. (noon), which represents the median time for each time zone.
12:00 p.m. - 2:30 p.m. = 9 hours and 30 minutes
This means that place y is 9 hours and 30 minutes ahead of place x.
Since each hour represents a 15-degree longitude difference, we can calculate the longitude of place y as follows:
9.5 hours × 15 degrees/hour = 142.5 degrees
Therefore, the longitude of place y would be 142.5 degrees east.