A concert runs for 5400 seconds.
- Convert this time to hours and minutes. (2 marks)
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- If the concert finishes at 10:45 pm, what time did it start? (2 marks)
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A concert runs for 5400 seconds.
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a. \(\text{1 hours 30 minutes}\)
b. \(\text{9:15 pm}\)
a. \(\text{Step 1: Convert seconds to minutes}\)
\(5400 \text{ seconds} = \dfrac{5400}{60} \text{ minutes} = 90 \text{ minutes} \)
\(\text{Step 2: Convert minutes to hours and minutes}\)
\(90 \text{ minutes} = \dfrac{90}{60} \text{ hours} = 1.5 \text{ hours} \)
\(\therefore\ 90 \text{ minutes} = 1 \text{ hour } 30 \text{ minutes} \)
b. \(\text{Finish time: 10:45 pm}\)
\(\text{Concert duration: 1 hours 30 minutes}\)
\(10:45\ \text{pm}-1\ \text{hour}=9:45\ \text{pm}\)
\(9:45\ \text{pm}-30\ \text{minutes}=9:15\ \text{pm}\)
\(\text{Start time: 9:15 pm}\)