The worlds first riddle!

It would be my guess that there are 65 squares on a chess board

[size=7]CHESS BOARD SQUARES
204

BLUE & RED DICE
3

ZIP CODES
Do you consider 2 and 5 to remain the same when rotated as they would on a 7-segment display?[/size]

Hi Ralpheb your reputation precedes you, you are a funny guy.

"It would be my guess that there are 65 squares on a chess board"

I know tumbleweed who can guess closer than that. Turn the TV off and get some fresh air.




Ralph is a mountain climber who is taking a day hike up a hill. He is in such good shape that on the way up hill he averages 6 miles an hour, on the way down he averages 8 miles an hour. The hike takes him 4 hours, how long is the hill

Mark:
RAP & MARK

I'm looking, but I don't see no proof!

Let's say the trip is two miles:
They each walk @5 mph. Suppose they can ride @10 mph. Wanna change your mind?

[size=7]NOPETS XMAS QUIX
Disagreements with Rap's answers"
5) 1" (the small cube was filled twice)
7) 4:q = p:3
8) m/t hours
9) 4 (10 + 2*(-3))
10) 5 (I think Rap put this for (9) by mistake)[/size]

[size=7]ART GALLERY
200[/size]

[size=7]DRIVE TO GUS
infinitely fast[/size]

[size=7]RALPH
13 5/7 miles[/size]

You didn't ask for a proof, and your example confirms my answer. Walking will take .4 hours. Walking/riding will take .3 hours.

Proof:
To share the bike equally, let's assume the number of miles is even. They will meet every two miles since each will have walked and ridden one mile. Therefore, we only need to show that they can complete a 2-mile journey faster if they share the bike.

Let W = walking rate, R = riding rate, R > W

Walking time = 2/W = 1/W + 1/W
Sharing time = 1/W + 1/R

Since R > W, 1/R < 1/W.
Therefore, sharing time < walking time.

QED

Slow down partner, it's gonna take me a week to sort out the confirmations.



This should quieten things down a mite:

I have distributed 100 poker chips among five bags.

Bag #1 and Bag #2 together contain 52 poker chips.
Bag #2 and Bag #3 together contain 43 poker chips.
Bag #3 and Bag #4 together contain 34 poker chips.
Bag #4 and Bag #5 together contain 30 poker chips.

How many poker chips are there in each bag

Chess board: 8x8 =64 + the square that contains the board= 65


Mountain climber:
2.25 hrs x 6mph = 14
1.75 hrs x 8mph =14

Hill is 14 miles

correction:
4.2 miles

Ralph:

"Chess board: 8x8 =64 + the square that contains the board= 65"


I think you are missing out on a few squares within the square 4x4 etc.


"Hill is 4.2 miles "

I think 14 was closer. It takes a while to get into the swing of things.

How many different squares on a chess board?

2, Black squares and white white squares

the bag of chips

1 - 27
2 - 25
3 - 18
4 - 16
5 - 14= 100

1+2 = 52
2+3 = 43
3+4 = 34
4 +5 + 30

[size=7]TRAIN
Jones is the brakeman
Brown is the fireman
Smith is the engineer
Mr. Jones lives in Springfield
Mr. Smith is the brakeman's neighbor[/size]

Ralph:

bag of chips

1 - 27
2 - 25
3 - 18
4 - 16
5 - 14= 100

1+2 = 52
2+3 = 43
3+4 = 34
4+5 = 30

Congratulations, you join a very select group of people to have answered a question.



Bags #1, #2, #4, and #5 together contain 82 poker chips. Therefore, Bag #3 must contain 18 poker chips. With that piece of information, you can figure out how many poker chips the other bags contain:

You know Bag #2 and Bag #3 = 43 poker chips; you know Bag #3 = 18 poker chips; therefore, Bag #2 contains 25 poker chips.

You know that Bag #1 and Bag #2 = 52 poker chips; therefore, Bag #1 contains 27.

You know Bag #3 and Bag #4 = 34 poker chips; you know Bag #3 = 18 poker chips; therefore, Bag #4 contains 16 poker chips.

You know that Bag # 4 and Bag #5 = 30 poker chips; you know that Bag #4 contains 16 poker chips; therefore, Bag #5 contains 14 poker chips.

Mark, good call.

BIKE v. WALK

Let W = walking rate, R = riding rate, R > W

Walking time = 2/W = 1/W + 1/W
Sharing time = 1/W + 1/R

Since R > W, 1/R < 1/W.
Therefore, sharing time < walking time.

QED



If they walk the two miles together, the trip will take them 24 minutes.
Watch what happens if they use Rap's method with Rap riding first:
After 6 minutes, Rap will have gone a mile with the bike and Mark a half mile. Rap leaves the bike and walks. After another 6 minutes, Mark will have walked a mile and will be at the bike. Rap will have traveled 1.5 miles (1 mile riding and a half walking). After another 6 minutes, each will be at the 2 mile marker, having covered the distance in 18 minutes as opposed to 24 walking together.

Strange but true.

Mark:

TRAIN
Jones is the brakeman
Brown is the fireman
Smith is the engineer
Mr. Jones lives in Springfield
Mr. Smith is the brakeman's neighbor

If we are to assume that you can't have a salary that is EXACTLY one third of EXACTLY $20 000, then Mr Jones can't be the one who lives next door to the brakeman, so he must live in Springfield, and therefore the brakeman's name is Jones.

Smith and the fireman can't be the same person because they played golf togetther, so Smith must be either the brakeman or the engineer.
But we already know that the brakeman's name is Jones, so Smith must be the name of the engineer.




A - B = B
B * C = A
D : B = E
C * C = E
C + E = A

What numbers are A, B, C, D and E