Cross-Section of a Run

Published by patrick honner on

While in the park recently, I used the continuous setting on my camera to snap the following two pictures.  The camera claims that the two frames are 1.1 seconds apart.

runner 1

runner 2

So today’s question:  running at this rate, approximately how long would it take for this person to run a mile?

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patrick honner

Math teacher in Brooklyn, New York


Alan · December 7, 2010 at 9:25 am

Now, if I only knew what park this is, I could get the distance for that path and solve for the time to run a mile.

Ahmed Gouda · December 7, 2010 at 10:44 pm

I’m going for 13 mins, but it could probably be 11 mins. Really comes down to what you think is the distance he ran in 1.1 sec. I pulled for 7 feet, about 7/10 the length of a blackboard.

Mark H · December 8, 2010 at 12:39 am

I figured 6 feet (about the height of the runner). 6 feet in 1 second, 6000 feet in 1000 seconds, or even better 5280 fee in around 900 seconds. 900 seconds is about 15 minutes. The 13 minute choice was closet to this mental calculation.

Nikita Zolotykh · December 8, 2010 at 2:31 am

Used a ruler. 5 minutes.

    Sam Kolins · December 12, 2010 at 8:45 pm

    How can you be so certain of that answer when you don’t know what the scale factor is between perceived distance and actual distance? 😛

Ahmed Gouda · December 8, 2010 at 5:53 am

Nikita Zolotykh :
Used a ruler. 5 minutes.


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