Question

If a football match is to take place at 4o'clock on tuesday in town A(longitude 60° east) at what time does in town B ( longitude 75° west) tune in their radio for the match

Answer 1

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.

1. **Longitude of Town A**: 60° East
2. **Longitude of Town B**: 75° West

3. **Calculate the total longitudinal difference**:
- From 0° to 60° East is 60°.
- From 0° to 75° West is 75°.
- The total difference is: \(60° + 75° = 135°\).

4. **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:
\[
135° \times \frac{1 \text{ hour}}{15°} = 9 \text{ hours}
\]

5. **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.