Zilch
This...is...Caketown!
Ok, this might keep some of you occupied for a bit, and I am going nuts trying to figure this out.
The story is this: I am recovering from stress fractures while trying to stay in shape and improve my overall fitness. My physical therapist has me doing a 3/1 walk/run. This means I am walking briskly for three minutes and then running for one minute.
It so happens that I covered almost exactly 1 mile during a 12 minute walk/run event. I'm trying to extrapolate how fast I was going during the running portion. (This way I could know how fast I would have covered my three miles for a PFT, given that I maintain that speed once my bones are up to it.)
Initially, I figured I had run for 1/4 of the time, so I must have covered 1/4 of that mile. But, NO! I was running faster for that time, so I covered more distance. Catchy, eh?
So, I'm stumped on it, and my nerdy friends here are working on it but have no solution yet. Any takers? I figure some of you more navigationally-trained professionals might have some fancy formulas that I don't.
Oh, the obvious solution of having me run a set distance and timing it...well, that would make too much sense.
I give rep to the first one to answer, if it's mathematically possible.
The story is this: I am recovering from stress fractures while trying to stay in shape and improve my overall fitness. My physical therapist has me doing a 3/1 walk/run. This means I am walking briskly for three minutes and then running for one minute.
It so happens that I covered almost exactly 1 mile during a 12 minute walk/run event. I'm trying to extrapolate how fast I was going during the running portion. (This way I could know how fast I would have covered my three miles for a PFT, given that I maintain that speed once my bones are up to it.)
Initially, I figured I had run for 1/4 of the time, so I must have covered 1/4 of that mile. But, NO! I was running faster for that time, so I covered more distance. Catchy, eh?
So, I'm stumped on it, and my nerdy friends here are working on it but have no solution yet. Any takers? I figure some of you more navigationally-trained professionals might have some fancy formulas that I don't.
Oh, the obvious solution of having me run a set distance and timing it...well, that would make too much sense.
I give rep to the first one to answer, if it's mathematically possible.