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I'm going to put some brain-teasers up here occasionally, for you all to chew on. It's healthy to get movement in your mind, and I find puzzles and brain teasers an effective and entertaining way to do that. Enjoy!!
Mark Twain wrote: A lie can travel halfway around the world while the truth is putting its shoes on.
Mark Twain
Baron Miller wrote: Grace ruins the idea that you are fully in charge.
Baron Miller
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Teaser #1:
Three siblings, Alice, Bob and Carol, truthfully report their grades to their parents as follows: Alice says, "If I passed Math, then so did Bob. I passed English, if and only if, Carol did. Each of us passed at least one subject." Bob says, "If I passed Math than so did Alice. Alice did not pass History. Each subject was passed by at least one of us three." Carol says, "Either Alice passed History or I did not pass it. If Bob did not pass English then neither did Alice. I did not pass as many subjects as Bob or Alice." Which subjects did each pass?
Mark Twain wrote: A lie can travel halfway around the world while the truth is putting its shoes on.
Mark Twain
Baron Miller wrote: Grace ruins the idea that you are fully in charge.
Baron Miller
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Joined: 1/11/2008 Posts: 277 Location: Bellingham, WA
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Teaser #1 Solution:
No takers! Alice passed Math and English, Bob passed everything, and Carol passed only English.
Mark Twain wrote: A lie can travel halfway around the world while the truth is putting its shoes on.
Mark Twain
Baron Miller wrote: Grace ruins the idea that you are fully in charge.
Baron Miller
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Joined: 1/11/2008 Posts: 277 Location: Bellingham, WA
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Teaser #2:
A train leaves Phoenix bound for Tucson at 60 miles an hour. Another train leaves Tucson bound for Phoenix 10 minutes later traveling at 50 miles per hour. Given that it is 110 miles in between, how far apart will the two trains be when they meet?
Mark Twain wrote: A lie can travel halfway around the world while the truth is putting its shoes on.
Mark Twain
Baron Miller wrote: Grace ruins the idea that you are fully in charge.
Baron Miller
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They won't be "apart" when they "meet".
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Brat wrote:They won't be "apart" when they "meet". Ding! Ding! Ding! Brat wins the gold star! 
Mark Twain wrote: A lie can travel halfway around the world while the truth is putting its shoes on.
Mark Twain
Baron Miller wrote: Grace ruins the idea that you are fully in charge.
Baron Miller
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 Rank: Administration Groups: Administrator
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Joined: 1/11/2008 Posts: 277 Location: Bellingham, WA
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Teaser #3:
Three business executives meet for lunch in a restaurant. At the close of their lunch, they figure the bill be roughly $30, so they all toss in $10 to cover the bill. When the bill actually comes, it is $25. Since the $25 bill is not divisible by three, the three executives demonstrate what absolute tightwads they are, by each taking a dollar back, and leaving the two extra dollars for the poor waitress who took care of them. Since each tightwad executive paid $9 for their lunch, and nine times three is 27, when we add in the two for the waitress, we have 29 ... where did the other dollar go?
Mark Twain wrote: A lie can travel halfway around the world while the truth is putting its shoes on.
Mark Twain
Baron Miller wrote: Grace ruins the idea that you are fully in charge.
Baron Miller
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the two dollar tip is included in the $27 left after each exec pays in $9 ie: 3x$10=$30; $30-$3 take back=$27; $27-$25 lunch cost=$2 tip
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Yep. Brain teasers and riddles are often just mis-worded in an effort to get us thinking about the wrong thing. It's like a magician who trys to get you to look at something else so you don't see his or her slight of hand. In this case, the question is worded improperly. The error is found in that the equation explaining the situation is misleading. While it is true that 9(3) + 2 is not equal to 30, it is true that 9(3) - 2 = 25, which is the correct way of looking at things, and I'm pretty sure that's what VBuys was saying.
Mark Twain wrote: A lie can travel halfway around the world while the truth is putting its shoes on.
Mark Twain
Baron Miller wrote: Grace ruins the idea that you are fully in charge.
Baron Miller
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 Rank: Administration Groups: Administrator
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Joined: 1/11/2008 Posts: 277 Location: Bellingham, WA
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Teaser #4:
A driver on a one mile oval track does one lap around the track at 30 miles per hour. How fast does the driver need to go on the second lap in order to average 60 miles per hour over both laps?
Mark Twain wrote: A lie can travel halfway around the world while the truth is putting its shoes on.
Mark Twain
Baron Miller wrote: Grace ruins the idea that you are fully in charge.
Baron Miller
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The question makes no sense to me. It's like having already completed a race, then trying to change the results of the race by doing another lap a little faster. Life doesn't work that way, at least not for me. Sorry.
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It makes perfect sense... It's an averaging of the two speeds in order to create the opimum speed per lap of 60 mph... Therefore, if the person where to go 30mph on the first lap he would have to go 90mph the second lap in order to average 60mph over both laps. 30mph + 90mph = 120mph / 2 laps = 60mph. Another way to look at it would be to say two laps at 60mph = 120mph. If the first lap however was only completed at 30mph then you would go 120mph - 30mph = 90mph for the second lap.
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You'll never get there from here.
Although, if you did go a billion zillion gachillion (gachillion?) miles per hour on the second lap, you'd bring the average speed really close to 60 mph, something like 59.9999999999999999999999999999999999999999999999999999 (plus a lot more 9's) mph. But still not quite 60 mph.
Anyway, your 90 mph answer gets you a average of 45 mph. That's 2 minutes and 40 seconds to go 2 miles.
120 mph on the second lap would give you an average of 48 mph. That's 2 minutes and 30 seconds to go 2 miles
180 mph would make it 51.5 mph. That's 2 minutes and 20 seconds to go 2 miles
240 mph... 53.33 mph. That's 2 minutes and 15 seconds to go 2 miles
480 mph... 55.385 mph. That's 2 minutes and 7.5 seconds to go 2 miles
And so on, and so on. But you're never going to average 60 mph, because you must get that done in two minutes over a two mile length of track, and you already spent your two minutes on the first lap.
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Andy Stimkin wrote:You'll never get there from here. <snip> And so on, and so on. But you're never going to average 60 mph, because you must get that done in two minutes over a two mile length of track, and you already spent your two minutes on the first lap.  Yes!! I almost answered last night, but decided to let it go a little longer and see if y'all would nail it down. The thing to remember about brain-teasers and riddles is, the question is almost never straightforward. This question is invalid, in a sense, because at 30 mph, the driver used up the allotted two minutes on the first lap.
Mark Twain wrote: A lie can travel halfway around the world while the truth is putting its shoes on.
Mark Twain
Baron Miller wrote: Grace ruins the idea that you are fully in charge.
Baron Miller
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 Rank: Administration Groups: Administrator
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Joined: 1/11/2008 Posts: 277 Location: Bellingham, WA
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Teaser #5:
A bookworm is on Page 1 of Volume 1 of a two volume dictionary. He decides he wants to eat his way to the last page of Volume 2 of the set. The total thickness of the pages of each volume is two inches for a combined total of four inches, and the binding of each volume is 1/8th of an inch thick. How far did the bookworm go?
Mark Twain wrote: A lie can travel halfway around the world while the truth is putting its shoes on.
Mark Twain
Baron Miller wrote: Grace ruins the idea that you are fully in charge.
Baron Miller
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Joined: 12/23/2007 Posts: 24 Location: Lynden
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ahhh... I now see the error of my ways. Everything I was taught in school is wrong! However, the "correct answer," while in all practicality is correct, in theory would be disproved by Einstien's theory of relativity. Stimkin's assumption is that time is a fixed commodity. However, as Einstein pointed out, time itself is relative based upon the speed of travel. The closer to the speed of light one travels, the slower time procedes. There have even been tests run on communication methods where in theory the data is received before it is sent as the particles are accellerated beyond the speed of light. In this case, it would be possible to reverse time down to the point where one could complete both laps in under two minutes while maintaining a speed of 30mph for the first lap. but granted, this is all in theory...
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 Think time travel!
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