If the time at town A ( longitude of 75 degree west ) is 5pm on Friday, what will be the time and day at town B (longitude 120 degree east)
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To determine the time and day at town B, we need to calculate the time difference between town A and town B, considering their respective longitudes.
1. Convert the longitudes to a standardized format:
- Town A: 75 degrees west
- Town B: 120 degrees east
(We use a standardized format where west longitudes are given negative values, and east longitudes are given positive values.)
2. Determine the time difference between longitudes:
- Each longitude degree represents 4 minutes of time difference.
- The longitude difference between town A and town B is:
- Town A: -75 degrees (west)
- Town B: 120 degrees (east)
- The total difference is: -75 degrees + 120 degrees = 45 degrees
- Convert the longitude difference into time difference:
- Each degree represents 4 minutes, so:
- 45 degrees * 4 minutes = 180 minutes
3. Convert the time difference in minutes to hours:
- 180 minutes / 60 minutes = 3 hours
4. Determine the time at town B:
- Since the time at town A is 5pm on Friday, we add the time difference of 3 hours to find the time at town B:
- 5pm + 3 hours = 8pm
5. Determine the day at town B:
- Since we have moved to the east, we add one day to the current day at town A.
- The current day at town A is Friday, so:
- Friday + 1 day = Saturday
Therefore, the time at town B will be 8pm on Saturday.
To determine the time and day at town B based on the given information, we need to calculate the time difference between the two locations and then adjust accordingly.
Step 1: Calculate the time difference between the longitudes of the two towns.
The time difference between two longitudes is equal to 15 degrees per hour. So, we subtract the longitude of town B from that of town A:
75 degrees (longitude of town A) - (-120 degrees) (longitude of town B) = 75 + 120 = 195 degrees
Step 2: Convert the longitude difference to time.
Since there are 15 degrees of longitude per hour, we divide the longitude difference by 15 to get the time difference in hours:
195 degrees / 15 degrees per hour = 13 hours
Step 3: Adjust the time and day.
Since we know that it is 5 PM on Friday in town A, we need to add the calculated time difference of 13 hours to determine the time and day in town B.
5 PM + 13 hours = 6 AM (next day)
Therefore, the time in town B will be 6 AM on Saturday.
Note: This calculation assumes that both towns are in the same time zone. If the towns are in different time zones, you would need to take into account any additional time zone adjustments.