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To do this you need to know:

60 second in a minute

60 minutes in an hour

1609.344 meters in one mile

Now first work out how far one would travel running at that speed in one minute, by finding how far you would have traveled in one second-

100/9.7 = 10.30927835051546 meters /second

Then multiply by 60 to get distance traveled in one minute =

10.30927835051546 * 60 = 618.5567010309278 meters / minute.

Now multiply by 60 again to get the distance traveled in an hour

618.5567010309278*60=37113.40206185567 meters / hour

OK we now know that we would be running at a speed of 37113.40206185567 meters an hour. BUT we want the answer in miles an hour, so we have to divide this by the number of meters in a mile:

37113.40206185567/1609.344=23.06 miles per hour.

Compare this with the related answer for this question where the distance run was in Yards (which are shorter than meters - so you would be running slower)

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Q: How many miles per hour is running 100 meters in 9.7 sec?
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