Question

A football match is scheduled for 5:45 pm local time on Saturday in Lagos, Nigeria longitude 7°east.calculate the local time football fans in manballer sierra Leone longitude 13°west can tune their radio for the commentary.when will they listen to the commentary in sierra Leone

Answer 1

To calculate the local time in Sierra Leone when the football match starts in Lagos, we need to account for the time difference between the two locations based on their longitudes.

1. **Lagos, Nigeria (Longitude: 7° East)**
2. **Manballer, Sierra Leone (Longitude: 13° West)**

Next, we can determine the time difference between Lagos and Sierra Leone by calculating the longitudinal difference:

**Total longitudinal difference:**
- From 7° East to 0° (Greenwich) = 7°
- From 0° (Greenwich) to 13° West = 13°
- Total = 7° + 13° = 20°

**Time difference calculation:**
- The Earth rotates 360° in 24 hours, which means it rotates 15° per hour.
- Therefore, the time difference for the 20° is calculated as follows:

\[
\text{Time difference} = \frac{20°}{15°/\text{hour}} = \frac{20}{15} = \frac{4}{3} \text{ hours} \approx 1.33 \text{ hours or 1 hour and 20 minutes}
\]

Since Lagos is to the east of Sierra Leone, Sierra Leone will be behind Lagos by approximately 1 hour and 20 minutes.

3. **Match time in Lagos:**
- The match is scheduled for 5:45 PM in Lagos.

4. **Adjusting for the time difference:**
- Subtract 1 hour and 20 minutes from 5:45 PM:

\[
5:45 PM - 1 \text{ hour} = 4:45 PM
\]

\[
4:45 PM - 20 \text{ minutes} = 4:25 PM
\]

Therefore, fans in Sierra Leone can tune in to their radios for the commentary at **4:25 PM local time** on Saturday.