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## #1251 2012-01-31 02:07:36

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

That is a great idea that Neil Sloane and Simon Pflouffe came up with. Lots of times I just surf around in there seeing what I can find. I am going to get some sleep, see you in a bit.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #1252 2012-02-03 07:46:43

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

New Problem:

Three runners start on the same spot of a circular track. They are called B,C and D. The ratio of their speeds is 3:5:7 respectively. We assume a constant speed around the track and they run in a clockwise fashion.

How many times will C and D lap B before they all meet up at the same point? Where is this first point of triple intersection?

A says)Using braids I come up with this formula for the triple intersection point.

Where v3 is D's speed,
v2 is C's speed and v1 is B's speed.

So the first point of triple intersection is at the original starting point.

B says) That is not correct. That is one of them but it is not the first.
C says)Wrong again B! A is on the money as usual.
D says) I say there is never any point where the 3 of them are together other than when they begin the race.
E says) I am not sure how many times they pass B but I know A's point of triple intersection is not correct.

Can you answer all the questions and come up with a better formula than A has?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #1253 2012-02-03 18:24:17

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Hi bobbym,

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #1254 2012-02-03 20:37:45

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #1255 2012-02-03 23:14:12

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Hi bobbym,

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #1256 2012-02-03 23:17:36

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #1257 2012-02-03 23:46:49

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Hi bobbym,

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #1258 2012-02-03 23:51:03

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #1259 2012-02-03 23:58:23

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Hi,

In #1255, you asked for 1:2:4  !

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #1260 2012-02-04 00:05:30

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

Hi gAr;

That makes sense! What the heck is wrong with me anyway? I ask for things and then forget about them. My apologies. Answer does seem to agree with your formula too. I will have to mark you correct!

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #1261 2012-02-04 00:10:12

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Hi bobbym,

No problem, thanks.
I'll try for few more examples.

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #1262 2012-02-04 00:28:49

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

Okay gAr, and thanks for looking at the problem. I am going to take a little break.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #1263 2012-02-04 00:35:18

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Ok, see you later.

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #1264 2012-02-04 01:09:56

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

I think that formula is fine for more number of points.
Verified for 4 points at ratio 3:5:7:13

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

## #1265 2012-02-04 05:33:00

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

Hi gAr;

I tried it on a few also. Works well!

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #1266 2012-02-04 05:59:15

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Hi bobbym,

Yes, a nice formula and geogebra animation!
Thanks!

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

## #1267 2012-02-04 06:05:04

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

Hi gAr;

The formula was yours.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #1268 2012-02-04 06:21:54

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Hi,

I thought of relative velocities, but saw the formula from the question and extended it.

I'll take a break, see you later.

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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## #1269 2012-02-04 06:23:00

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

Hi gAr;

Okay, have a good night. See you later.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #1270 2012-02-09 19:37:34

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

New problem:

Someone posed to our distinguished panel the following problem:

he wanted to know what the biggest coefficient was.

A says) Obviously it is 10^40.
B says) That is not correct A, how did you get that?
C says) I got that too.
D says) Yep, I counted them!
E says) I have to agree with B on this one.

What is the correct answer? Is it possible to come up with a general formula for n instead of 20000000?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #1271 2012-02-09 23:01:47

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Hi bobbym,

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

## #1272 2012-02-09 23:23:26

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #1273 2012-02-10 00:10:52

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Hi bobbym,

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

## #1274 2012-02-10 00:23:03

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 107,190

### Re: Is this cool with you?

Hi gAr;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #1275 2012-02-10 01:01:24

gAr
Member
Registered: 2011-01-09
Posts: 3,479

### Re: Is this cool with you?

Hi bobbym,

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline