Write these times in ascending order

Write these times in ascending order. 3 hours 138 minutes 2 hours and 42 minutes 0.1 days 8370 seconds​

The Correct Answer and Explanation is :

Let’s convert all the given times into a common unit, such as minutes, for easier comparison:

  1. 3 hours:
    3 hours × 60 minutes/hour = 180 minutes
  2. 138 minutes:
    Already in minutes.
  3. 2 hours and 42 minutes:
    2 hours = 2 × 60 = 120 minutes
    120 minutes + 42 minutes = 162 minutes
  4. 0.1 days:
    1 day = 24 hours
    0.1 days = 0.1 × 24 hours = 2.4 hours
    2.4 hours = 2.4 × 60 minutes = 144 minutes
  5. 8370 seconds:
    1 minute = 60 seconds
    8370 seconds ÷ 60 = 139.5 minutes

Now let’s list the converted times:

  • 3 hours = 180 minutes
  • 138 minutes
  • 2 hours and 42 minutes = 162 minutes
  • 0.1 days = 144 minutes
  • 8370 seconds = 139.5 minutes

Arranging them in ascending order:

  1. 138 minutes
  2. 8370 seconds (139.5 minutes)
  3. 0.1 days (144 minutes)
  4. 2 hours and 42 minutes (162 minutes)
  5. 3 hours (180 minutes)

Explanation:

To compare different measurements of time, we need to express them in a single unit. I chose minutes, as it’s the easiest to work with here. We converted hours, days, and seconds into minutes using the following rules:

  • 1 hour = 60 minutes
  • 1 day = 24 hours, or 1440 minutes
  • 1 minute = 60 seconds

Once all times were converted to minutes, we simply listed them in increasing order. Thus, the final order is: 138 minutes, 139.5 minutes, 144 minutes, 162 minutes, and 180 minutes. This method ensures that no matter how times are expressed (hours, days, or seconds), they can be easily compared.

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