A soccer match between The Falcons League and Seacrest United lasted 1 hour 45 minutes. The match ended at 18:45. At what time did it start?
Understand the Problem
The question provides the duration of a soccer match and its end time. It asks us to calculate the start time by subtracting the duration from the end time.
Answer
17:00
Answer for screen readers
17:00
Steps to Solve
- Convert time to minutes
Convert the end time of the match to minutes. $18 \text{ hours} \times 60 \text{ minutes/hour} = 1080 \text{ minutes}$. Thus the end time is $1080 + 45 = 1125 \text{ minutes}$.
- Convert duration to minutes
Convert the duration of the match to minutes. $1 \text{ hour} \times 60 \text{ minutes/hour} = 60 \text{ minutes}$. Thus the duration is $60 + 45 = 105 \text{ minutes}$.
- Subtract duration from end time
Subtract the duration of the match from the end time to get the start time in minutes. $1125 - 105 = 1020 \text{ minutes}$.
- Convert back to hours and minutes
Convert the start time back to hours and minutes. $1020 \div 60 = 17 \text{ remainder } 0$. So the start time is $17:00$.
17:00
More Information
The match started at 5:00 PM, given that the end time was in 24-hour format.
Tips
A common mistake is not properly converting the time to a single unit (minutes) before performing subtraction, or making arithmetic errors during the conversion. Another mistake could be misinterpreting the 24 hour format.
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