The Sunday Afternoon Puzzle!

[lspencer534]

It's that time again! Grab a beer, and put on your thinking caps!

No Googling!

1. A certain month has four Fridays and the second Monday of the month is the 10th.
On what day does the 23rd fall and what is the date of the last Saturday of the month?

2. We have a cylindrical glass, which can hold 12 ounces of liquid. It is 6 inches tall. It is tipped so that my drink is about to spill out the top. The liquid is 2 inches from the bottom, on the other side (See the diagram). How many ounces of liquid are still in the glass?

http://i702.photobucket.com/albums/ww22/lspencer534/cyl-1.gif

3. After visiting my Great Aunt Anne, I travelled home in her old jalopy. The car was old and battered, it had a leak from the petrol tank, and I was stuck in second gear. This meant that I could only travel along at a steady 30 miles per hour and managed a paltry 20 miles per gallon of fuel. At the start of the journey I had placed exactly 10 gallons of fuel into the tank. I knew though, that the fuel tank lost fuel at the rate of half a gallon per hour.

Just as I arrived home, the car stopped because it had run out of fuel and I had only just made it. How far was it from my Great Aunt's to my home?
http://i702.photobucket.com/albums/ww22/lspencer534/oldcar.gif

4. What rock is also a food?

5. We have two identical coins. (I know there's 3 in the pic, but bear with me.)
http://i702.photobucket.com/albums/ww22/lspencer534/coin.gif

And we roll the one on the left halfway around the other coin, so it rotates without slipping against the other coin, so that it ends up on the right of the other coin. It has rolled over a length of only half its circumference, and yet it has made one complete rotation. It started right side up, then it ended right side up.

Now take one of the coins and roll it in a straight line adcross your desk. The coin rolls a distance (its circumference) and ends right side up. The coin rolls a distance C (its circumference) along a straight line, and ends right side up. After a distance C/2, it is upside down. How do you explain this?

http://i702.photobucket.com/albums/ww22/lspencer534/coin0.gif

6. http://i702.photobucket.com/albums/ww22/lspencer534/ruthie-1.png

Unposties:

Page 3 Girl of the Day - TDW Tease (http://tease.thedailywh.at/2011/12/19/page-3-girl-of-the-day-61/#more-70541)

[Sea Six]

4. table salt

[Blademaker]

#4 Salt

[DAB]

2.

1/3 + 1/2 = 5/6 x 12 oz = 10 oz.

[DAB]

3.

if she's nice and makes a great apple pie, too far away; if she's annoying, not far enough away....

[DAB]

1. A certain month has four Fridays and the second Monday of the month is the 10th.
On what day does the 23rd fall and what is the date of the last Saturday of the month?

thus, first monday is the 3rd, so month starts on saturday....so saturdays are 1,8,15,23,30....

[lspencer534]

4. table salt

Correct!

[Sea Six]

23rd is Sunday. Last Friday is 29th

[lspencer534]

1. A certain month has four Fridays and the second Monday of the month is the 10th.
On what day does the 23rd fall and what is the date of the last Saturday of the month?

thus, first monday is the 3rd, so month starts on saturday....so saturdays are 1,8,15,23,30....

Nope/.

[lspencer534]

2.

1/3 + 1/2 = 5/6 x 12 oz = 10 oz.

Nope.

[lspencer534]

23rd is Sunday. Last Friday is 29th

Already answered.

Edit: Dab's answer was incomplete. You are correct.

[Y2Kvert4me]

2. 8 oz

[DAB]

3. After visiting my Great Aunt Anne, I travelled home in her old jalopy. The car was old and battered, it had a leak from the petrol tank, and I was stuck in second gear. This meant that I could only travel along at a steady 30 miles per hour and managed a paltry 20 miles per gallon of fuel. At the start of the journey I had placed exactly 10 gallons of fuel into the tank. I knew though, that the fuel tank lost fuel at the rate of half a gallon per hour.

Just as I arrived home, the car stopped because it had run out of fuel and I had only just made it. How far was it from my Great Aunt's to my home?


so you consumed 1.5 gal in an hour, and lost another 0.5 gal. starting with 10 gallons, you have enough for 5 hours, so she is 150 miles away.

[DAB]

2. We have a cylindrical glass, which can hold 12 ounces of liquid. It is 6 inches tall. It is tipped so that my drink is about to spill out the top. The liquid is 2 inches from the bottom, on the other side (See the diagram). How many ounces of liquid are still in the glass?


doh:

1/3 + 1/2(2/3) = 1/3 + 1/3 = 2/3 = 8 oz...Tom beat me, but i showed my work.

[Marc]

1. 23rd is a sunday and last saturday is the 29th

[lspencer534]

2. 8 oz

Correct!

[lspencer534]

3. After visiting my Great Aunt Anne, I travelled home in her old jalopy. The car was old and battered, it had a leak from the petrol tank, and I was stuck in second gear. This meant that I could only travel along at a steady 30 miles per hour and managed a paltry 20 miles per gallon of fuel. At the start of the journey I had placed exactly 10 gallons of fuel into the tank. I knew though, that the fuel tank lost fuel at the rate of half a gallon per hour.

Just as I arrived home, the car stopped because it had run out of fuel and I had only just made it. How far was it from my Great Aunt's to my home?


so you consumed 1.5 gal in an hour, and lost another 0.5 gal. starting with 10 gallons, you have enough for 5 hours, so she is 150 miles away.

Correct!

[DAB]

Nope/.

????

did you mis-state the question?

[Sea Six]

3. 150 miles

[DAB]

1. A certain month has four Fridays and the second Monday of the month is the 10th.
On what day does the 23rd fall and what is the date of the last Saturday of the month?



what a minute...

10th is M...thus 3rd is also M...so 1st is saturday....and as i posted above, saturdays fall on 1,8,15,23,and 30.

answered the question completely...:beat::beat:

[Sea Six]

5. don't understand the question.

[lspencer534]

1. A certain month has four Fridays and the second Monday of the month is the 10th.
On what day does the 23rd fall and what is the date of the last Saturday of the month?



what a minute...

10th is M...thus 3rd is also M...so 1st is saturday....and as i posted above, saturdays fall on 1,8,15,23,and 30.

answered the question completely...:beat::beat:



You said, "thus, first monday is the 3rd, so month starts on saturday....so saturdays are 1,8,15,23,30...."

The answer is Sunday and the 29th.

[lspencer534]

5. don't understand the question.

Why does the coin take only 1/2 revolution to land right side up when it travels over another coin, but it takes a full revolution to wind right side up on a flat surface?

[DAB]

You said, "thus, first monday is the 3rd, so month starts on saturday....so saturdays are 1,8,15,23,30...."

The answer is Sunday and the 29ty.

+7 or +8....give me break, i didn't sleep well last night.

had the process correct, just can't add worth a damn today....

[lspencer534]

+7 or +8....give me break, i didn't sleep well last night.

had the process correct, just can't add worth a damn today....

Sorry. :cert:

[Sea Six]

Why does the coin take only 1/2 revolution to land right side up when it travels over another coin, but it takes a full revolution to wind right side up on a flat surface?

In the first case, it travels only a distance of a half-circumference. In the second it travels a full circumference. Twice the distance is traveled in the second case.

I still don't fully understand the question.

[Blademaker]

#5 Salt

[lspencer534]

In the first case, it travels only a distance of a half-circumference. In the second it travels a full circumference. Twice the distance is traveled in the second case.

I still don't fully understand the question.

Get out 2 quarters and try it. Make a mark on the 'travelling' coin to count the revolutions.

[lspencer534]

#5 Salt

Correct, but already answered. :dance:

[kingpin]

The answer is always:
http://i1113.photobucket.com/albums/k507/mike4452/b1b9d80b.jpg

That's all I wanted to say.
Please continue with all y'alls large brain competition.

:leaving:

[lspencer534]

In the first case, it travels only a distance of a half-circumference. In the second it travels a full circumference. Twice the distance is traveled in the second case.

I still don't fully understand the question.

More info: When you roll the coin on your desk, it travels its circumference to be right-side up (head facing up). When it goes over the coin, it travels on half its circumference, yet it ends with the head up.

[lspencer534]

The answer is always:
http://i1113.photobucket.com/albums/k507/mike4452/b1b9d80b.jpg

That's all I wanted to say.
Please continue with all y'alls large brain competition.

:leaving:

Her name and tel. #, please.

[kingpin]

Her name and tel. #, please.

Sorry she's all mine! :yesnod:

[lspencer534]

Here's what I was getting at with the coin question:

Of course it makes sense, and is no paradox. But it surprises people, and is a famous puzzle. The coin rolls a distance C (its circumference) along a straight line, and ends right side up. After a distance C/2, it is upside down. Obviously the situations are different.
Just to give you a little more experience with rolling coins, look at the diagram of the coin going over the other coin. Here a coin "rolls" around a point. It goes zero distance (approximately) and makes one half rotation. So the distance rolled along a curved path has little to do with the coin's rotation, as viewed by a non-rotating viewer, like yourself.
There are different ways to look at the first diagram, the original "paradox." From a viewer on the stationary coin, the rolling coin did make only one half rotation. Or we can add rotations; the coin made 1/2 rotation + it made a U-turn around the other coin, for a second 1/2 rotation (like our third diagram). The sum is one complete rotation. Still another way of looking at it is that the center of the moving coin is not moving a distance of C/2, but C. So, even though the point of contact has moved a distance of C/2, the coin has move a distance of C. And it should rotate once.

[DAB]

Mrs DAB takes all my coins. I'm out.

[lspencer534]

Mrs DAB takes all my coins. I'm out.

Do you see the paradox of the coin question?

[lspencer534]

Here are the results:

Sea Six 2
DAB 1
YsKvert4me 1

[DAB]

Do you see the paradox of the coin question?

Not today.

[lspencer534]

Not today.

Well, dayum! It is a famous puzzle, and I thought I'd have you guys pulling your hair out. Guess I'll just take my toys and go home....:leaving:

[Sea Six]

Do you see the paradox of the coin question?

Not today.

I got nothin'.

Well, dayum! It is a famous puzzle, and I thought I'd have you guys pulling your hair out. Guess I'll just take my toys and go home....:leaving:

I still don't understand what question there is to answer. It is what it is. It's like asking why the circumference of a circle is larger than the diameter. It just is; there is no explanation necessary.

Pulling an equation out and slapping it on the table no more makes it a question to be answered than anything else.

It's like writing the equation "C=πD," and then "concluding" that C is therefore always going to be 3.14 times greater than D." :dunno: .... Yes! Yes it is! And the point would be....?