60m to 100m to 200m to 400m Time Formulas

Sources:

According to Jimson Lee, a world-renowned sprint consultant and athlete, the formula for going from:

60m to 100m — ~1.53 x 60m = ~100m

100m to 200m — ~2 x 100m = ~200m

200m to 400m — ~2.18 x 200m = ~400m.

 

After using the calculators at http://www.brianmac.co.uk/ I came across some rather intriguing dilemma. Here are some screenshots of these occurrences. What I was trying to do was use a base line of a 23 second 200m. It gave me multiple answers, very close but still different.

e 1e 2calc descrepancy

The reason i used a static 23 second 200m is because the 200m is the only reoccurring input or calculation you can get in all three.

If you look at the 150m calculations you’ll notice it gives 2 answers: 16.95 and 17.01. Seeing as how I like to be exact or as through as possible the 0.06 sec of difference ( ~0.354% increase) is quite alarming. With that said and a lot of trial and error I’ve come to this conclusion:

60m to 100m — ~ (1140 / 713) x 60m = ~100m

100m to 200m — ~ (5234872 / 2599198) x 100m = ~200m

200m to 400m — ~ (5159 / 2300) x 200m = ~400m

***
1140 / 713 = ~1.599

5234872 / 2599198 = ~2.014

5159 / 2300 = ~2.243
***

Moving onto the info. from

http://www.coachr.org/LOOKING_AT_100-200_AND_200-400%20RATIOS.htm

you find these 2 charts (one for men and the other for women):

Averaging the men we get:

100m to 200m — ~2.01375 x 100m = ~200m

200m to 400m — ~2.2035 x 200m = ~400m

Averaging the women we get:

100m to 200m — ~2.035 x 100m = ~200m

200m to 400m — ~2.23375 x 200m = ~400m

Averaging both we get:

100m to 200m — ~2.024375 x 100m = ~200m

200m to 400m — ~2.218625 x 200m = ~400m

Making an educated guess I’d say these are the accurate predictions out of all the ones I said and found:

60m to 100m — ~1.53 x 60m = ~100m

100m to 200m — ~2.024375 x 100m = ~200m

200m to 400m — ~2.218625 x 200m = ~400m

Using myself as a reference i ran a 100m around a mid 11 sec, a mid 23 sec 200m, and a high 52 sec 400m. Using these formulas and my times i’ll show how accurate they are for me.

  1. 400m – ~52.9 sec, 200m – ~23.844 sec, 100m – ~11.778 sec
  2. 400m – ~52.138 sec, 200m – ~23.5 sec, 100m – ~11.609 sec
  3. 400m – ~51.201 sec, 200m – ~23.078 sec, 100m – ~11.4 sec

Total Deviation 400m: 51.201 – 52.9 sec — ~3.318%

Total Deviation 200m: 23.078 – 23.844 sec — ~3.319%

Total Deviation 100m: 11.4 – 11.778 sec — ~3.316%

Average Deviation: ~3.318%

400m Deviation Data: 200m – ~2.284%, 100m – ~2.386%; AVG: ~2.335%

200m Deviation Data: 400m – ~1.646%, 100m – ~1.645%; AVG: ~1.646%

100m Deviation Data: 400m – ~2.574%, 200m – ~2.392%; AVG: ~2.483%

Based on the data i’d say its best to use your 200m to not have a double approximation for both the 100m and 400m time predictions. In all the predictions vary from 95-98% accuracy so they should work well for you!

Summary:

60m = ~T

100m = ~(1.53) T

200m = ~(3.09729375) T = ~(2.024375) 100m

400m = ~(6.87173334609375) T = ~(2.218625) 200m

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