9. A football match lasts 90 minutes with a break of 15 minutes at half-time. If a referee allows five minutes extra for injuries and stoppages, what time does a match that kicks off at 4:30 PM end? (3 marks)



Answer :

To determine the end time of a football match which kicks off at 4:30 PM, let's break down the total duration of the match and then convert the resulting time to the appropriate hour and minute format. Follow these steps:

1. Match Duration Calculation:
- The total duration of the match includes:
- The regular match time: 90 minutes
- The half-time break: 15 minutes
- Extra time for injuries and stoppages: 5 minutes
- Total duration = 90 minutes + 15 minutes + 5 minutes = 110 minutes

2. Convert Kick-off Time to Minutes:
- The kick-off time is 4:30 PM.
- In a 24-hour format, 4:30 PM is the 16th hour and 30th minute.
- Convert this to total minutes past midnight:
- 16 hours * 60 minutes/hour = 960 minutes
- Adding the minutes: 960 minutes + 30 minutes = 990 minutes

3. Calculate End Time in Minutes:
- Add the total match duration to the kick-off time in minutes:
- 990 minutes (kick-off time) + 110 minutes (total match duration) = 1100 minutes

4. Convert End Time Back to Hours and Minutes:
- To find the end time in hours and minutes:
- Divide 1100 minutes by 60 minutes/hour to get hours: 1100 // 60 = 18 hours
- Find the remaining minutes: 1100 % 60 = 20 minutes

Therefore, the match will end at:
- 18th hour, which is 6:00 PM in a 12-hour clock.
- Plus 20 minutes.

So, a football match that kicks off at 4:30 PM and lasts with the given durations will end at 6:20 PM.