Tuesday, July 5, 2011

A Little Running Math Problem/Contest...Help!

Runners like to be precise and not cut corners really in anything we do.  You know before GPS/Garmin's or Map My Run...you just sometimes kind of had to guess on your route distances hoping the routes were the actual distance you logged for like a couple of years before you had a true measurement.  I just got back from vacation and some altitude training in Crested Butte, Colorado at 9000 feet where I did a 400m (or close to it) workout where I finished feeling guilty.


I was able to get in some fun and tough training in the mountains of Crested Butte, CO. The town had an asphalt track at the high school which was perfect because there were a couple of races coming up on my race schedule so I wanted to get in something quicker even though it would be more challenging at altitude.

The workout was 12 x 400m on 60 seconds rest.  During the warm-up I had the GPS/Garmin out to kind of make sure the track was pretty close to 1/4 mile (not an exact measurement either but that is all I had to go by), with the first measure I found the track turned out to be short on the regular markings on one lap being short of 400m so I added on a bit just to make sure the distance was covered in each interval and began the workout.  The workout ended up going well and was happy with the effort and result ending up averaging 66.3 per repeat.  I was suspect about things though so I re-measured the track after the workout and my interval markings ended up being about (16 feet) short/under 1/4 mile per interval for the intervals I ran.

The blog question of the day and your chance to get some free swag (ThunderDome T shirt) is as follows.  With the intervals being 16 feet short of an actual 1/4 mile, how many meters on each repeat did I actually do when converted to meters? Was the workout like 12 x 390m or 12 x 375m or was it pretty close to 400m based on the 1/4 mile distance compared to a 400m track interval?  I am looking for the actual meter repeat distance......first correct answer wins. 

Good Luck

4 comments:

  1. There appears to be no qualification regarding the significant digits you request, but each interval would be (approximately) 397.3492 meters.

    Assuming you have no calculator, bear in mind that if you know the feet you are short or long, simply base your calculation on 5280 (i.e., 1320 feet per mile, 16 feet short would be 1304 feet). You could then determine the percentage of the distance covered (1304/1320), or just know that 3.3 feet ~ 1 meter [3.28 more precise] (thus, 16ft would be just about 5m).

    Knowing that 1 mile has 1609.344 meters (any runner should know this basic fact), 1/4 of this would be 402.3X. Subtract 5m from this = 397.3.

    ReplyDelete
  2. ummm...I say just count it as 400m! that is way too much math!

    ReplyDelete
  3. Congrats to Aaron Nodolf for getting the correct answer--397.3m. This victory for Aaron is probably as impressive as an eventual top 20 finish this weekend at the Summerfest Rock n Sole race here in Milwaukee. Thanks to everyone for playin.

    ReplyDelete