The worlds first riddle!

3 geniuses= you, mark and thoh
The next set of numbers is not 6,6,6,9,1,1
I can't do the milkshake problem because I do not know how.

[size=8]MILKSHAKES
(17 + C(17,2)) * 2 = 306[/size]

17 single flavor milkshakes x 2 sizes = 34
136 combinations of flavors x 2 sizes = 272

Total milkshakes available = 306

Mark:

MILKSHAKES
(17 + C(17,2)) * 2 = 306

That looks like a winner to me.

First, there are 17 different one-flavor milkshakes, but they can be ordered in two different sizes. This gives 34 different one-flavor shakes.
To determine the number of two-flavor milkshakes, take the combination of 17 flavors taken two at a time. This yields 136 but again they can be ordered in two different sizes. Hence, there are 272 different two-flavor shakes which can be ordered.

So the total number of different milkshake are 34 + 272 = 306


Thoh:
"The first thing that popped in my mind when you said Pensacola was Contact."

I think you misheard; I said, ?'Dr Peper in French Lick, IN.' Talking about contact, look who's in town…

Francis:

17 single flavor milkshakes x 2 sizes = 34
136 combinations of flavors x 2 sizes = 272

Total milkshakes available = 306

Padon mi aksent, butt mi French she is a litel rustie. Ow I remember my time en the Légion étrangère, the barracks outside Castelnaudary. Good times.


TTH:
"I can't do the milkshake problem because I do not know how."

Don't worry, nor do I. I just wait for Mark to post the answer and run with it.

BTW native Americans seldom use the greeting ?'How' stick with ?'Yo bro'.



Besides writing Alice In Wonderland, Lewis Carroll composed many puzzles, some of which he recorded in his notebooks without solutions. The following is one such puzzle:

A stagecoach leaves Bakersfield for San Bernardino and another at the same moment leaves San Bernardino for Bakersfield.

They go at uniform rates, one faster than the other. After meeting and passing, one requires sixteen hours and the other nine hours to complete the journey.

What total time does each coach require for the whole journey


They said it was a question that would never be answered. No, not this one, the other one.

What is the origin of the word dragoon


Dragoon originated in Ireland, describing a soldier who fought dragons in the 1500 to 1600's.

Dragoon originated in France, referring to soldiers whose rifle looked like breathed smoke and fire like a dragon.

Dragoon originated in the Netherlands, a misunderstanding surrounding the word for female dragon.

Dragoon originated in Greece, comparing soldiers to powerful dragons who could not be killed.

"I do hope you have recovered from your recent ailment."
Thank you. On the mend ....finally.


What is the origin of the word dragoon?

Answer: Dragoon originated in France, referring to soldiers whose rifle looked like breathed smoke and fire like a dragon.

[size=8]STAGECOACH
If T is the time it took them to meet, then 16/T = T/9.
Therefore, T=12.
They took 21 and 28 hours to complete the journey.[/size]

Total time for journey ^ up there (what mark said).

seems awefully simple...how did u get that ratio?

[size=8]I did it geometrically (d on the y-axis, t on the x-axis; you have lines that cross and there are similar triangles). However, since you asked, I decided to do it algebraically.

Call the stagecoaches X and Y, and say they meet at time T.

X took T hours to do what Y will do in 9 (X/Y = T/9)
Y took T hours to do what X will do in 16 (X/Y = 16/T)

T/9 = 16/T[/size]

Stormy:


What is the origin of the word dragoon?

Answer: Dragoon originated in France, referring to soldiers whose rifle looked like breathed smoke and fire like a dragon.


I assume you have met Francis! :wink:





Let us linger for a moment to savour Mark's answer…


STAGECOACH
If T is the time it took them to meet, then 16/T = T/9.
Therefore, T=12.
They took 21 and 28 hours to complete the journey.

(Followed by:)

I did it geometrically (d on the y-axis, t on the x-axis; you have lines that cross and there are similar triangles). However, since you asked, I decided to do it algebraically.

Call the stagecoaches X and Y, and say they meet at time T.

X took T hours to do what Y will do in 9 (X/Y = T/9)
Y took T hours to do what X will do in 16 (X/Y = 16/T)

T/9 = 16/T



Sweet, real sweet.


Let's check it out:

T= time to meet
Rf = rate of fast one
Rs = rate of slow one
D1 = short distance
D2 = long distance

D1 = Rf * 9 = Rs * T
D2 = Rs * 16 = Rf * T
T = Rf * 9 / Rs = Rs * 16 / Rf
Rf * Rf * 9 = Rs * Rs * 16
Rf * 3 = Rs * 4
Rs = 3 / 4 * Rf
D1 = Rf * 9 = Rs * T
T = Rf * 9 / Rs
T = Rf * 9 / (3 / 4 * Rf)
T = 4 / 3 * 9 = 12

Fast one = 9 + 12 = 21 hours
Slow one = 16 + 12 = 28 hours



Let us also not forget TTH also backed the winner!




There was an 18th century mathematician who lived on his parents' Patapsco River farm in Baltimore County, he was the first person ever to build a wooden clock in the United States. By taking apart a pocket watch, he figured out that the ratio of the gears was the key to making it all work. The clock struck every hour for more than forty years, keeping perfect time.

Suppose you have three gears:
A has 3 teeth.
B has 6 teeth.
C has 12 teeth.

They are all meshed. A B C

If Gear C moves clockwise three revolutions...

Will Gear B move clockwise or counter-clockwise
How many revolutions will it make

Will Gear A move clockwise or counter-clockwise
How many revolutions will it make

wow thats cool

gear B moves 6 revolution counter-clockwise
gear C moves 12 revolutions clockwise

Thoh:
GEARS
gear B moves 6 revolution counter-clockwise
gear C moves 12 revolutions clockwise



If C made 3 revolutions, then:
gear B made 3 * (12 / 6) = 6 revolutions in a counter clockwise direction;
gear A made 3 * (12 / 3) = 12 revolutions in a clockwise direction.

To work, gears must go different directions. That means that gear B will go counter clockwise and gear A will go clockwise.

Compare the number of teeth in gears C and B. Gear C had 12 teeth, gear B had 6. To find the number of revolutions, you divide the number of teeth in C by the number of teeth in B.

12 / 6 = 2. So, gear B makes 2 revolutions for each revolution that gear C makes. Hence, gear B will make 6 revolutions for the three that gear C makes.

Now compare the number of teeth in gears B and A. Gear B had 6 teeth, but it has to be multiplied by 2 because it is going to revolve 2 times. A had 3 teeth. To find the number of revolutions, you divide the number of teeth in B * 2 by the number of teeth in A.

So, gear A will make 4 revolutions for each revolution that gear C makes; therefore, when gear C makes three revolutions, gear A will make 4 revolutions.


Quote, "wow thats cool"

I have not been directed to remind you that ?'WOW' is a registered trademark of Microsquishy Corp. Any unlicensed use will lead to prosecution.


I was just watching the news on CNN, no, I don't watch Fox. Anyhoo, it was a sad story about a family of four and their cat, who get trapped on an island when rising flood waters tear out the bridge they used just a few hours before.

Frantically they search for some means of crossing back to the mainland and finally, when they've just about given up hope, the son says, "I found a small boat and oars." They gather around but their joy is short lived because the manufacturer's instructions printed on the back of the boat says the boat can carry only 180 pounds.

Thank goodness TXX's* not here. It's just Mom, Dad, the two kids and the cat, but none of them can swim.

So the boat can carry only 180 pounds. Well, the father weighs 170. The mother says she weighs 130. The son is 90 pounds. And the daughter is 80. The cat weighs 15 pounds. Everyone can row except the cat.

What is the fewest number of crossings to save everyone









* = Try. Why! Who did you think it referred to?

Hi tryagain, how are you? Just a courtesy call.

Hey Try LTNS
[size=7]9
1) D&S Over
2) D Back
3) M&C Over
4) S Back
5) D&S Over
6) D Back
7) F Over
8) S Back
9) D&S Over[/size]
Rap

1) Son & Daughter over
2) Son back
3) Father over
4) Daughter back
5) Son & Daughter over
6) Son back
7) Mother & Cat over
8) Daughter back
9) Son & Daughter over

9=fewest crossings

Dutchy, what a pleasant surprise to see you called round. Sorry I was not at home, although my regret was short lived when I saw your post count! That is ripper mate. Congrats, you will soon be Numero uno. As soon as this spell of overwork has passed I will be sure to rejoin you on the fun page. Save a coldie for me.



Rapper, How good to see you, you are looking well, how have you been doing? The last I heard you were running some small South American country. I hope you are still gainfully employed.



Rap^:

9
1) D&S Over
2) D Back
3) M&C Over
4) S Back
5) D&S Over
6) D Back
7) F Over
8) S Back
9) D&S Over

Good to see you back!


TTH:

1) Son & Daughter over
2) Son back
3) Father over
4) Daughter back
5) Son & Daughter over
6) Son back
7) Mother & Cat over
8) Daughter back
9) Son & Daughter over

9=fewest crossings



Good call. It would appear there are many ways to save a cat!


The fewest number of crossings is nine.
The boy and the girl row over to the mainland.
And that's 170 pounds.

One of them comes back. Doesn't matter which one.
The next trip the mother and the cat row to safety. So now we got one of the kids over there, the mother and the cat.

Now the other kid comes back. So the only two that have reached safety so far are the mother and the cat.

The boy and the girl row over again. One of them comes back.

The father rows over. The other kid comes back to the island and now the two kids row to safety together.





It's time for me to hit the trail and ride those rails outta town, so if you are looking for him…


…A hymn book contains 700 hymns. A bulletin board at the front of the church has four grooved rows on which the numbers of the hymns to be sung are placed.

What is the smallest number of plates, each carrying one figure, which must be kept in stock so that the numbers of any 4 hymns may be displayed in the four rows


You may safely assume that the church never sings the same hymn twice on the same Sunday. See ya all Monday, have a good weekend.

[size=8]HYMNS
Here's how many are required of each digit:
0 - 8
1 - 9
2 - 9
3 - 9
4 - 9
5 - 9
6 - 9
7 - 8
8 - 8
9 - 8
Total = 86

However, if 6 can do double duty as 9 we have:
6 - 12
9 - 0
Total = 81[/size]

I will place my bet on mark since I don't know the answer.

im sorry...but LMFAO

oh, and when u said family stuck on island...i immediately thought of "the parable of the family that dwelt apart'...i think thats my fav short story

and heres a riddle:

connect the following 9 dots by 4 lines (you cant lift ur hand off the paper, lines cant go back over each other but they can cross)

* * *
* * *
* * *