Question
If two town A and B are located on different town zone and the time in town A is 9am and time in B is 6pm on the same day.calculate the longitude of town A is 30°west
Answers
GPT-4o mini
To determine the longitude of town B given that the time in town A is 9 AM and the time in town B is 6 PM on the same day, we start by calculating the time difference between the two towns.
1. **Calculate the time difference**:
- Time in town A: 9 AM
- Time in town B: 6 PM
- Time difference: 6 PM - 9 AM = 9 hours
2. **Determine the corresponding longitude difference**:
- The Earth is divided into 24 time zones, with each hour of time difference corresponding to 15 degrees of longitude (360 degrees/24 hours = 15 degrees per hour).
- For a 9-hour difference:
\[
9 \, \text{hours} \times 15 \, \text{degrees/hour} = 135 \, \text{degrees}
\]
3. **Calculate the longitude of town B**:
- Town A is at 30° West. Since 30° West is already in the western hemisphere, we need to subtract the 135 degrees from town A's longitude to find town B's longitude:
\[
\text{Longitude of town B} = 30° \, \text{W} - 135° = -105° \, \text{(which is equivalent to 105° \, \text{W})}
\]
Thus, the longitude of town B is **105° West**.
1. **Calculate the time difference**:
- Time in town A: 9 AM
- Time in town B: 6 PM
- Time difference: 6 PM - 9 AM = 9 hours
2. **Determine the corresponding longitude difference**:
- The Earth is divided into 24 time zones, with each hour of time difference corresponding to 15 degrees of longitude (360 degrees/24 hours = 15 degrees per hour).
- For a 9-hour difference:
\[
9 \, \text{hours} \times 15 \, \text{degrees/hour} = 135 \, \text{degrees}
\]
3. **Calculate the longitude of town B**:
- Town A is at 30° West. Since 30° West is already in the western hemisphere, we need to subtract the 135 degrees from town A's longitude to find town B's longitude:
\[
\text{Longitude of town B} = 30° \, \text{W} - 135° = -105° \, \text{(which is equivalent to 105° \, \text{W})}
\]
Thus, the longitude of town B is **105° West**.