A football match is to be played on Saturday in New Zealand (150 degrees East) between the host country and Nigeria (15 degrees East). If the match is to be televised live, at what... A football match is to be played on Saturday in New Zealand (150 degrees East) between the host country and Nigeria (15 degrees East). If the match is to be televised live, at what time should Nigerians tune in to their TV to watch the kickoff scheduled for 4:00 PM in New Zealand?
Understand the Problem
This question involves calculating the time difference between New Zealand and Nigeria to determine the correct viewing time for a live football match broadcast. The key is to understand the longitudinal difference and how it affects time zones.
Answer
3:50 AM the next day
Answer for screen readers
The match will be broadcast live at 3:50 AM the next day in New Zealand.
Steps to Solve
- Determine the longitudinal difference
New Zealand is at 175°E and Nigeria is at 5°E. The longitudinal difference is:
$175^\circ - 5^\circ = 170^\circ$
- Calculate the time difference in hours
Each 15° of longitude corresponds to 1 hour of time difference. Therefore, we divide the longitudinal difference by 15:
$\frac{170^\circ}{15^\circ \text{/hour}} = 11.33 \text{ hours}$
This is approximately 11 hours and 20 minutes (0.33 hours * 60 minutes/hour = 20 minutes).
- Adjust for the direction (East vs. West)
Since New Zealand is east of Nigeria, New Zealand time is ahead. This means we need to add the time difference to Nigeria's time to find the equivalent time in New Zealand.
- Calculate the start time in New Zealand
The match starts at 4:30 PM in Nigeria. Adding the 11 hours and 20 minutes difference:
$4:30 \text{ PM} + 11 \text{ hours } 20 \text{ minutes} = 3:50 \text{ AM (next day)}$
So, the match will be broadcast live at 3:50 AM the next day in New Zealand.
The match will be broadcast live at 3:50 AM the next day in New Zealand.
More Information
The Earth rotates 360 degrees in 24 hours, which means it rotates 15 degrees every hour. This is why time zones are often (but not always!) based on increments of 15 degrees longitude.
Tips
A common mistake is forgetting to consider whether to add or subtract the time difference based on the direction (East or West). New Zealand is East of Nigeria, so the time is ahead, requiring addition. Another common mistake is incorrectly converting the decimal portion of the time difference (0.33 hours) into minutes.
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