# Cross-Section of a Run

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.

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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Categories: ApplicationChallenge

#### 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.

Cheater

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