I have a great formula for predicting how long it will take to travel a known distance 2, based on knowing a known distance 1 and the known duration for travelling distance 1
The formula I have which works well is:
p₂ = p₁ + 5 log₂(d₂/d₁)
where
p2 = unknown pace (unit is seconds per 500m)
p1 = known pace (unit is seconds per 500m)... say 150 seconds)
d2 = known distance (say 5000m)
d1 = known distance (say 1000m)
running the formula gives:
p2 = 150 + 11.6 = 161.6 seconds
which I can then use to calculate that 5000m would therefore take 5000/500 * 161.6 = 1616 seconds (26 min and 56 seconds)
What I am trying to do is rearrange the formula so that I can calculate d2 if I know p1, p2 and d1
The formula I have which works well is:
p₂ = p₁ + 5 log₂(d₂/d₁)
where
p2 = unknown pace (unit is seconds per 500m)
p1 = known pace (unit is seconds per 500m)... say 150 seconds)
d2 = known distance (say 5000m)
d1 = known distance (say 1000m)
running the formula gives:
p2 = 150 + 11.6 = 161.6 seconds
which I can then use to calculate that 5000m would therefore take 5000/500 * 161.6 = 1616 seconds (26 min and 56 seconds)
What I am trying to do is rearrange the formula so that I can calculate d2 if I know p1, p2 and d1
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