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Dan is the fastest with a rate of 0.142mi/min
This question relates to rate in mathematics and we would find the rate at which each of them run.
Data given
- AI = 8 miles per hour
- Bob = 1 mile in 8 minutes
- Dan =1/2 mile in 3.5 minutes
Let's use minutes as the standard unit of time here. The rates would be
Rate
AI
[tex]8 miles = 1 hour\\1 hour = 60 minutes\\8 miles = 60 minutes\\x miles = 1 minute\\x = 8/60\\x = 0.13\\0.13mi/min[/tex]
The speed of AI is 0.13 miles per minute.
Carl
[tex]2miles = 15 minutes\\x miles = 1minute\\x = 2/15\\x = 0.13mi/min[/tex]
Carl's speed is 0.13 miles per minutes.
Dan
[tex]1/2miles = 3.5 minutes\\x miles = 1minutes\\x = 0.5/3.5\\x = 0.142mi[/tex]
Dan runs at 0.142 miles per minute.
From the above calculation the rate at which they run are, AI runs 0.13 mi/min, Carl runs 0.13 mi/min and Dan runs 0.142 mi/min making him the fastest amongst the three.
Learn more about rate here;
https://brainly.com/question/2972832