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Answer :
The runners speed in miles per hour is 13.6 mph .
In the question ,
it is given that
the high school track athlete sprints 100 yards in 15 seconds
we remember that 1 yard = 3 feet
So, 100 yard = 3*100 = 300 feet
in the question it is given that
5280 feet = 1 mile
1 feet = 1/5280 mile
So, 300 feet = 300/5280 mile
and 3600 second = 1hour
1 second = 1/3600 hour
15 seconds = 15/3600 hour
So, the speed of the runner = (300/5280 mile ) / (15/3600 hour )
= (300/5280) * (3600/15)
On simplifying further ,
we get
= 13.636363
≈ 13.6
Therefore , The runners speed in miles per hour is 13.6 mph .
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