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.
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Calculate the time difference:
- Time in town A: 9 AM
- Time in town B: 6 PM
- Time difference: 6 PM - 9 AM = 9 hours
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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: \[ 9 , \text{hours} \times 15 , \text{degrees/hour} = 135 , \text{degrees} \]
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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.
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