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#3142541 - 01/28/13 02:10 PM Math majors and maybe even runners...question.
Bottom Hunter
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Registered: 12/29/06
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I posted this on facebook and got quite a few different answers and ways to get those answers.

I'm curious what i will get here, so if you like, give an answer but please include how you got it....thanks.

If I wanted to run a 28:00 minutes 5K, 3.2 miles, at what speed (mph) would I need to average to accomplish this.

The reason I ask is that I want to accomplish this and want to train on a treadmill at this mph.....I realize that road running and treadmill running is not the same, but I can more easily train on a treadmill by setting it at this mph ...

Please include your formula.....I'll tell you what i came up with later, but I'm not sure I am right.

again...participate if you want or not, your choice,and thanks to those that do..
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#3142547 - 01/28/13 02:14 PM Re: Math majors and maybe even runners...question. [Re: Bottom Hunter]
Barrett
formerly bad_deer24
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Registered: 11/09/06
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Ahhhh math! make it stop, make it stop!!!!!
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#3142551 - 01/28/13 02:16 PM Re: Math majors and maybe even runners...question. [Re: Bottom Hunter]
cecil30-30
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Registered: 12/05/06
Posts: 14108
Loc: Morgan Co

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8.7 mins per mile
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#3142558 - 01/28/13 02:23 PM Re: Math majors and maybe even runners...question. [Re: Barrett]
Hawk
TnDeer Old Timer
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Registered: 09/03/99
Posts: 6581
Loc: west tenn.

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Around 10 mph
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#3142567 - 01/28/13 02:30 PM Re: Math majors and maybe even runners...question. [Re: cecil30-30]
thetoolman
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x = 3.2/28 = 0.114285

0.114285*60 = 6.8571MPH
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#3142571 - 01/28/13 02:33 PM Re: Math majors and maybe even runners...question. [Re: Hawk]
Andy S.
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60 minutes = 1 hour so 28 minutes = 0.46667 hours

3.2 miles divided by 0.46667 hours = 6.86 mph for your average.
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#3142573 - 01/28/13 02:34 PM Re: Math majors and maybe even runners...question. [Re: thetoolman]
Diehard Hunter
CRAMP
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Registered: 08/01/08
Posts: 6735
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28/60=0.47hrs.

3.2miles/0.47hrs =6.81 mph
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#3142574 - 01/28/13 02:34 PM Re: Math majors and maybe even runners...question. [Re: thetoolman]
fourwheeler431
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Registered: 09/05/06
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Loc: Powell

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 Originally Posted By: thetoolman
x = 3.2/28 = 0.114285

0.114285*60 = 6.8571MPH


Roughly 7 mph is what it was taking me to run it,when I was running regularly.
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#3142585 - 01/28/13 02:44 PM Re: Math majors and maybe even runners...question. [Re: fourwheeler431]
Barrett
formerly bad_deer24
12 Point


Registered: 11/09/06
Posts: 6863
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6.85714286 mph

Boom. ;\)
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#3142590 - 01/28/13 02:47 PM Re: Math majors and maybe even runners...question. [Re: Barrett]
The Ol'Professor
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Registered: 04/16/08
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Everyone will have to do the math over as a 5K is 3.1 miles not 3.2 \:\)
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#3142596 - 01/28/13 02:50 PM Re: Math majors and maybe even runners...question. [Re: The Ol'Professor]
Diehard Hunter
CRAMP
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Registered: 08/01/08
Posts: 6735
Loc: East Tennessee

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 Originally Posted By: The Ol'Professor
Everyone will have to do the math over as a 5K is 3.1 miles not 3.2 \:\)


Or be exact and use 3.15....1 km = 0.621 miles so 5 k= 3.15 miles
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#3142604 - 01/28/13 02:58 PM Re: Math majors and maybe even runners...question. [Re: Diehard Hunter]
The Ol'Professor
6 Point


Registered: 04/16/08
Posts: 922
Loc: Mid TN

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 Originally Posted By: Diehard Hunter
 Originally Posted By: The Ol'Professor
Everyone will have to do the math over as a 5K is 3.1 miles not 3.2 \:\)


Or be exact and use 3.15....1 km = 0.621 miles so 5 k= 3.15 miles


Or Really exact with 3.10686 \:D \:D
_________________________
The wealthy man can get hunting anyhow, but the man of small means is dependent solely upon wise and well-executed game laws for his enjoyment of the sturdy pleasure of the chase. Theodore Roosevelt

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#3142608 - 01/28/13 03:01 PM Re: Math majors and maybe even runners...question. [Re: Bottom Hunter]
TAFKAP
14 Point


Registered: 11/06/09
Posts: 9425
Loc: Memphis

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 Originally Posted By: Bottom Hunter
I posted this on facebook and got quite a few different answers and ways to get those answers.

I'm curious what i will get here, so if you like, give an answer but please include how you got it....thanks.

If I wanted to run a 28:00 minutes 5K, 3.2 miles, at what speed (mph) would I need to average to accomplish this.

The reason I ask is that I want to accomplish this and want to train on a treadmill at this mph.....I realize that road running and treadmill running is not the same, but I can more easily train on a treadmill by setting it at this mph ...

Please include your formula.....I'll tell you what i came up with later, but I'm not sure I am right.

again...participate if you want or not, your choice,and thanks to those that do..


5K = 3.106 miles, divided by 28:00 minutes, times 60minutes/hour = 6.658 mph

But more practically in "runner terms", you want to run a 9 minute mile
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#3142609 - 01/28/13 03:01 PM Re: Math majors and maybe even runners...question. [Re: Diehard Hunter]
-DRM-
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Registered: 08/21/12
Posts: 768
Loc: Spring Hill, TN

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I'll ignore the math and focus more on the problem:

IMHO, trying to train based on mph. is doing it backwards, and doesn't really get you anywhere. It assumes a constant speed - which I can tell you, won't happen in real life.

What is your current 5k time on a treadmill (or road)?

Run faster till you get it under 28 minutes

Enjoy.



Your training strategy really doesn't make much sense to me.
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~DRM~

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#3142612 - 01/28/13 03:02 PM Re: Math majors and maybe even runners...question. [Re: Diehard Hunter]
TAFKAP
14 Point


Registered: 11/06/09
Posts: 9425
Loc: Memphis

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 Originally Posted By: Diehard Hunter
 Originally Posted By: The Ol'Professor
Everyone will have to do the math over as a 5K is 3.1 miles not 3.2 \:\)


Or be exact and use 3.15....1 km = 0.621 miles so 5 k= 3.15 miles


5K = 500,000 cm, divided by 2.54 cm/inch, divided by 12"/ft divided by 5,280'/mile = 3.106855961 mi ;\)
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#3142624 - 01/28/13 03:13 PM Re: Math majors and maybe even runners...question. [Re: TAFKAP]
-DRM-
6 Point


Registered: 08/21/12
Posts: 768
Loc: Spring Hill, TN

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 Originally Posted By: TAFKAP
 Originally Posted By: Diehard Hunter
 Originally Posted By: The Ol'Professor
Everyone will have to do the math over as a 5K is 3.1 miles not 3.2 \:\)


Or be exact and use 3.15....1 km = 0.621 miles so 5 k= 3.15 miles


5K = 500,000 cm, divided by 2.54 cm/inch, divided by 12"/ft divided by 5,280'/mile = 3.106855961 mi ;\)


Pffft.

5k = wherever the race organizers say the starting line is, to wherever the race organizers say the finish line is.

Goal is to get from point A to point B in 28 minutes or less.

:p
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#3142628 - 01/28/13 03:16 PM Re: Math majors and maybe even runners...question. [Re: TAFKAP]
Nyper
16 Point


Registered: 11/29/00
Posts: 11087
Loc: Lebanon

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Edited: I'm a moron. I misunderstood the question.
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#3142649 - 01/28/13 03:36 PM Re: Math majors and maybe even runners...question. [Re: Nyper]
BARhunter
8 Point


Registered: 11/14/05
Posts: 1247
Loc: Franklin County

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I hate math!
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#3142651 - 01/28/13 03:37 PM Re: Math majors and maybe even runners...question. [Re: Nyper]
fredfred
8 Point


Registered: 06/24/12
Posts: 1722
Loc: crossville, tn

mad Online
My daughter runs it in 19:20 \:D
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#3142660 - 01/28/13 03:41 PM Re: Math majors and maybe even runners...question. [Re: Nyper]
thetoolman
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Registered: 08/23/05
Posts: 1443
Loc: Charlotte, Tennessee

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 Originally Posted By: Nyper
The correct answer is...

28 / 3.2 = 8.75 = 8 min 45 sec

Now do it backwards to check it and make sure it is right.

8m 45s x 3.2 miles = 28 miles


You may want to re-read the question.... \:D
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#3142674 - 01/28/13 03:46 PM Re: Math majors and maybe even runners...question. [Re: thetoolman]
TAFKAP
14 Point


Registered: 11/06/09
Posts: 9425
Loc: Memphis

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 Originally Posted By: thetoolman
 Originally Posted By: Nyper
The correct answer is...

28 / 3.2 = 8.75 = 8 min 45 sec

Now do it backwards to check it and make sure it is right.

8m 45s x 3.2 miles = 28 miles


You may want to re-read the question.... \:D


And double check the mileage of a 5K ;\)
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Everything important in life was learned from Mary Jo Kopechne.

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#3142677 - 01/28/13 03:48 PM Re: Math majors and maybe even runners...question. [Re: Bottom Hunter]
infoman jr.
10 Point


Registered: 10/05/03
Posts: 3622
Loc: Elizabethtown, KY

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I was one class away from a math minor, so I'd better leave this one to the pros. \:D
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#3142693 - 01/28/13 04:01 PM Re: Math majors and maybe even runners...question. [Re: thetoolman]
Nyper
16 Point


Registered: 11/29/00
Posts: 11087
Loc: Lebanon

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 Originally Posted By: thetoolman

You may want to re-read the question.... \:D


Yep.. I misunderstood what he was asking. I was just thinking what "pace" (time per mile) he would need.

This is why I don't run.
or do math. \:D

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#3142702 - 01/28/13 04:10 PM Re: Math majors and maybe even runners...question. [Re: fredfred]
Bottom Hunter
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Registered: 12/29/06
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Loc: Hatchie Bottoms

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 Originally Posted By: fredfred
My daughter runs it in 19:20 \:D


is your daughter 56 years old and ran her first 5K last year ....in 28:39?

lol



Edited by Bottom Hunter (01/28/13 04:12 PM)
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There are some people who always seem angry and continuously look for conflict.

Walk away; the battle they are fighting is not with you, but with themselves.

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#3142707 - 01/28/13 04:20 PM Re: Math majors and maybe even runners...question. [Re: thetoolman]
Outdoor Enthusiast
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Registered: 12/04/07
Posts: 962
Loc: Carthage, TN

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In my opinion, the best way to look at it is: "what do you need to average on your mile splits to finish in 28:00 minutes?"

You will have a wrist watch when you run and the course will include mile markers so it's best to work towards that. I understand that you are training on the treadmill, but you will probably train at distances other than 5k as you prepare. For instance, one day you might choose to run a "fast-paced" mile. Or intervals. Or a steady 5 mile run.

This little tool (which I didn't check the math) gives you the splits:
http://www.uscaa.org/goodies/splitsCalc.html?w=0&d=5&du=km&hh=0&mm=28&ss=0&p=&pu=min/mi&s=1&su=mi

It looks like you need to run a steady 9 min mile pace throughout the race to finish in 28:00 minutes.

Hope this helps.

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#3142712 - 01/28/13 04:24 PM Re: Math majors and maybe even runners...question. [Re: -DRM-]
Bottom Hunter
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Registered: 12/29/06
Posts: 16314
Loc: Hatchie Bottoms

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 Originally Posted By: -DRM-
I'll ignore the math and focus more on the problem:

IMHO, trying to train based on mph. is doing it backwards, and doesn't really get you anywhere. It assumes a constant speed - which I can tell you, won't happen in real life.

What is your current 5k time on a treadmill (or road)?

Run faster till you get it under 28 minutes

Enjoy.



Your training strategy really doesn't make much sense to me.


Not that I asked for your opinion, but I'll accept it none the less.

The reason I ask is because when I am running, I have no idea how fast I am running. Yes, I can clock myself and try to get to point A in a certain amount of time and if I get there on time then I must be running at the proper speed/average. if I am not, then I have no idea how fast to speed up.

My training on the treadmill allows me to see on the treadmill how fast I am going and the time it is taking me to get to the end of the 5k, be it 3.1 or 3.2 miles...it's not about anything other than time and if i say that i want to run a race a certain disatnce in 28:00 then I need to know how fast I need to run...right?

If I train at a certain pace and train myself to run that speed, then maybe once I am out on the road, when the weather gets better, I can stay at that speed.....rather than speeding up when I slow down and don't get to mile 1 or two three under the time I expect...

IMO, running a steady pace and getting used to that would be better than not knowing how fast I am going and having to adjust (speed up) while on the road...speeding up and being unsure of my speed might take more out of me than being able to run a steady pace....

Sort of like setting the cruise control on your vehicle to save gas....

thanks
_________________________
There are some people who always seem angry and continuously look for conflict.

Walk away; the battle they are fighting is not with you, but with themselves.

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#3142734 - 01/28/13 04:39 PM Re: Math majors and maybe even runners...question. [Re: Bottom Hunter]
iowavf
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Registered: 10/25/05
Posts: 3096
Loc: southwest iowa

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Ok, set your timer for 28:00 and start running until it goes off and if you didn't get to 3.2 miles, reset timer and run a little faster back to where you started. Repeat as many times as needed until you reach your goal!
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#3142983 - 01/28/13 07:44 PM Re: Math majors and maybe even runners...question. [Re: iowavf]
FLTENNHUNTER1
16 Point


Registered: 11/21/07
Posts: 15964
Loc: Tampa FL

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A ford mustang traveling at 140 MPH can make it in 1.35 minutes.

Why run when you can fly?
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#3143031 - 01/28/13 08:14 PM Re: Math majors and maybe even runners...question. [Re: FLTENNHUNTER1]
-DRM-
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Registered: 08/21/12
Posts: 768
Loc: Spring Hill, TN

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Thanks for the explanation.

If your treadmill has speeds and and a timer, I'd just get to running and find your natural pace and stride. Careful with music - you'll change your stride/pace based on the beat of the song.

Best thing you can do is start logging some miles. Your body will sort the rest out.
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