To determine the time in Town B when the match starts in Town A, we first need to account for the difference in longitude between the two towns and how that translates to time.
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Longitude of Town A: 60° East
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Longitude of Town B: 75° West
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Calculate the total longitudinal difference:
- From 0° to 60° East is 60°.
- From 0° to 75° West is 75°.
- The total difference is: \(60° + 75° = 135°\).
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Convert the longitudinal difference to time:
- The Earth is divided into 360° of longitude, which corresponds to 24 hours. Thus, each degree of longitude corresponds to \( \frac{24 \text{ hours}}{360°} = \frac{1 \text{ hour}}{15°} \).
- Therefore, for a 135° difference, the time difference is: \[ 135° \times \frac{1 \text{ hour}}{15°} = 9 \text{ hours} \]
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Determine the time in Town B:
- Town A's match starts at 4:00 PM (16:00) on Tuesday.
- Since Town B is 9 hours behind Town A, we subtract 9 hours from 4:00 PM: \[ 16:00 - 9:00 = 7:00 \text{ AM} \]
Thus, the residents of Town B should tune in to their radio at 7:00 AM on Tuesday to listen to the match taking place in Town A.
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