Order these amounts of time in descending order: A) half a week, B) 255,600 seconds, C) 3 days and 14 hours, D) 4740 minutes, E) 82 hours, F) noon on April 27th until noon on May 1st.

Here are the solutions to the questions.

2) Order these amounts of time in descending order.

Step 1: Convert all given times into minutes for easy comparison.

• A: half a week $$\frac{1}{2} \text{ week} = 3.5 \text{ days}$$ $$3.5 \text{ days} \times 24 \text{ hours/day} = 84 \text{ hours}$$ $$84 \text{ hours} \times 60 \text{ minutes/hour} = 5040 \text{ minutes}$$
• B: 255 600 seconds $$255600 \text{ seconds} \div 60 \text{ seconds/minute} = 4260 \text{ minutes}$$
• C: 3 days and 14 hours $$3 \text{ days} \times 24 \text{ hours/day} = 72 \text{ hours}$$ $$72 \text{ hours} + 14 \text{ hours} = 86 \text{ hours}$$ $$86 \text{ hours} \times 60 \text{ minutes/hour} = 5160 \text{ minutes}$$
• D: 4740 minutes Already in minutes: $4740 \text{ minutes}$
• E: 82 hours $$82 \text{ hours} \times 60 \text{ minutes/hour} = 4920 \text{ minutes}$$
• F: noon on April 27th until noon on May 1st This period is exactly 4 days (April 27th to 28th, 28th to 29th, 29th to 30th, 30th to May 1st). $$4 \text{ days} \times 24 \text{ hours/day} = 96 \text{ hours}$$ $$96 \text{ hours} \times 60 \text{ minutes/hour} = 5760 \text{ minutes}$$

Step 2: List the times in minutes and order them in descending order (longest to shortest).

• F: 5760 minutes
• C: 5160 minutes
• A: 5040 minutes
• E: 4920 minutes
• D: 4740 minutes
• B: 4260 minutes

The descending order is: $\boxed{\text{F, C, A, E, D, B}}$

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