kolko Posted June 10, 2009 Share Posted June 10, 2009 After seeing the popularity of the 0.99... equals 1 topic, I figured this would go well too. This is a topic about mathematical riddles : My riddle: You have a race car that completes half of a certain distance with an average speed of 60mph. How fast would it have to average on the second half to bring its total average to 120mph? Do not go for the obvious answer, think logically :) Link to comment Share on other sites More sharing options...
Riku3220 Posted June 10, 2009 Share Posted June 10, 2009 The car has to go 180mph. 60 in the first half + 180 in the second half = 240 as a whole 240 divided by 2 = 120 Link to comment Share on other sites More sharing options...
kolko Posted June 10, 2009 Author Share Posted June 10, 2009 I warned you not to go for the obvious answer ;) [hide=]Let's say the distance is 120 miles. The car goes at 60 mph so it takes an hour for the first half. If you go the second half at 180 miles per hour, you do the next 60 miles in 20 minutes. In total, you do 1 hour and 20 minutes over 120 miles which is 90 miles per hour.[/hide] Link to comment Share on other sites More sharing options...
fastortoise Posted June 10, 2009 Share Posted June 10, 2009 [hide=]no matter how fast it goes over the 2nd 60 miles, the total distance will be 120mi in one hour plus however long it takes to do the second half, so the average speed will always be under 120mph.[/hide] Good riddle, made me think about things ect. Link to comment Share on other sites More sharing options...
jemathonical Posted June 10, 2009 Share Posted June 10, 2009 1 does not equal 2. ^Sir Jem 05-The Bunny Drinking Blog?^ Click it! Link to comment Share on other sites More sharing options...
Guest User Posted June 10, 2009 Share Posted June 10, 2009 . Link to comment Share on other sites More sharing options...
Shinjula Posted June 10, 2009 Share Posted June 10, 2009 There is no finite speed you could go at to give you that average Link to comment Share on other sites More sharing options...
mmmcannibalism Posted June 10, 2009 Share Posted June 10, 2009 [hide=]well lets see lets say the distance is 120miles the first half will take an hour going 180mph it will take 20 minutes to finish the 120miles 120 miles divided by 80 minutes=3/2 miles per min=90mph going 240mph it will take 15 minutes to finish the 120 miles 120 miles divided by 75 minutes=24/15 miles per min=144/15mph=96mph going 600mph it will take 10 minutes to finish the 120 120 miles divided by 70 minutes=12/7 miles per minute=720/7=102.8(approx) going 1200 mph it will take 5 minutes to finish the 120 120/65=110.7mph[/hide] after playing with that I see the solution fastortoise came up with [hide=]since your time for an arbitrary 120 miles is at greater then 60 and 120/60=2miles per minute=120 miles per hour. For a speed less then infinity the time will be 120/(60+x) where x is a positive number leaving us with an mph of less then 120[/hide] Orthodoxy is unconciousnessthe only ones who should kill are those who are prepared to be killed. Link to comment Share on other sites More sharing options...
warren211 Posted June 11, 2009 Share Posted June 11, 2009 This seems to be the most famous riddle in statistics, used in books like The Curious Incident of the Dog in the Nighttime and in the movie 21: You're playing a game show and are shown 3 doors. Behind one door is a new car, behind the other two are goats. You are told to pick one door. After you pick the door, before it is revealed, the host (who knows whats behind each door) chooses another door that has a goat behind it. You now have 2 doors left, and the host asks if you want to switch picks before the door is opened. Is it to your benefit to switch your choice of door in order to win the car? The answer to the riddle is yes, it increases your chances of winning the car. But I'm not entirely sure how they arrived at that conclusion. I haven't taken a class in statistics yet so I haven't the faintest clue, it doesn't make sense to me at all. Anyone care to elaborate? [hide=]tip it would pay me $500.00 to keep my clothes ON :( :lol:But then again, you fail to realize that 101% of the people in this universe hate you. Yes, humankind's hatred against you goes beyond mathematical possibilities.That tears it. I'm starting an animal rebellion using my mind powers. Those PETA bastards will never see it coming until the porcupines are half way up their asses.[/hide]Apparently a lot of people say it. I own. http://linkagg.com/ Not my site, but a simple, budding site that links often unheard-of websites that are amazing for usefulness and fun. Link to comment Share on other sites More sharing options...
wild_goat_14 Posted June 11, 2009 Share Posted June 11, 2009 Search Monty Hall problem on youtube. I shall take my flock underneath my own wing, and kick them right the [bleep] out of the tree. If they were meant to fly, they won't break their necks on the concrete.So, what is 1.111... equal to?10/9. Please don't continue. Link to comment Share on other sites More sharing options...
xstompx Posted June 11, 2009 Share Posted June 11, 2009 The answer to the riddle is yes, it increases your chances of winning the car. But I'm not entirely sure how they arrived at that conclusion. I haven't taken a class in statistics yet so I haven't the faintest clue, it doesn't make sense to me at all. Anyone care to elaborate? If you haven't already figured it out... Because there are three doors to choose from and you're choosing randomly you have about a 33% chance of choosing correctly. Then the host removes a door as an option. If you are indeed wrong about your first choice, then the prize could have originally been in either of the two doors you didn't choose. The host would know which door didn't have the prize and removes that door for you. He is helping you by effectively combining the total probability of the two doors into one door because he would have gotten rid of the wrong door no matter which door the prize was behind. This was horrendously explained and you're better off searching for the explanation on the internet somewhere :-( But I thought I would post it anyway. Link to comment Share on other sites More sharing options...
indy500fan Posted June 11, 2009 Share Posted June 11, 2009 This seems to be the most famous riddle in statistics, used in books like The Curious Incident of the Dog in the Nighttime and in the movie 21: You're playing a game show and are shown 3 doors. Behind one door is a new car, behind the other two are goats. You are told to pick one door. After you pick the door, before it is revealed, the host (who knows whats behind each door) chooses another door that has a goat behind it. You now have 2 doors left, and the host asks if you want to switch picks before the door is opened. Is it to your benefit to switch your choice of door in order to win the car? The answer to the riddle is yes, it increases your chances of winning the car. But I'm not entirely sure how they arrived at that conclusion. I haven't taken a class in statistics yet so I haven't the faintest clue, it doesn't make sense to me at all. Anyone care to elaborate? http://www.youtube.com/watch?v=C5NPpoM5 ... re=related The entire video, and all of QualiaSoup's videos are great. Link to comment Share on other sites More sharing options...
baalboy5 Posted June 11, 2009 Share Posted June 11, 2009 You have a 9 dot box. How can you fill it up without taking the pencil off the paper and can only write 4 lines? Don't you know the first rule of MMO's? Anyone higher level than you has no life, and anyone lower than you is a noob. People in OT eat glass when they are bored. Link to comment Share on other sites More sharing options...
Stilev Posted June 11, 2009 Share Posted June 11, 2009 You have a 9 dot box. How can you fill it up without taking the pencil off the paper and can only write 4 lines? [hide=][/hide] Link to comment Share on other sites More sharing options...
Guest User Posted June 11, 2009 Share Posted June 11, 2009 . Link to comment Share on other sites More sharing options...
brunokiller Posted June 11, 2009 Share Posted June 11, 2009 It would be money = 1/time Less time=more money. My blog Link to comment Share on other sites More sharing options...
i_love_burritos Posted June 11, 2009 Share Posted June 11, 2009 TSP anyone ? Or the Seven Bridges of Königsberg ? [impossible but, hey.] Link to comment Share on other sites More sharing options...
Stilev Posted June 11, 2009 Share Posted June 11, 2009 Link to comment Share on other sites More sharing options...
obfuscator Posted June 11, 2009 Share Posted June 11, 2009 The answer to the riddle is yes, it increases your chances of winning the car. But I'm not entirely sure how they arrived at that conclusion. I haven't taken a class in statistics yet so I haven't the faintest clue, it doesn't make sense to me at all. Anyone care to elaborate? If you haven't already figured it out... Because there are three doors to choose from and you're choosing randomly you have about a 33% chance of choosing correctly. Then the host removes a door as an option. If you are indeed wrong about your first choice, then the prize could have originally been in either of the two doors you didn't choose. The host would know which door didn't have the prize and removes that door for you. He is helping you by effectively combining the total probability of the two doors into one door because he would have gotten rid of the wrong door no matter which door the prize was behind. This was horrendously explained and you're better off searching for the explanation on the internet somewhere :-( But I thought I would post it anyway. That's so cool! If I ever get on a game who, I'll use that :lol: I've never been one for math in any form... "It's not a rest for me, it's a rest for the weights." - Dom Mazzetti Link to comment Share on other sites More sharing options...
Lenin64 Posted June 11, 2009 Share Posted June 11, 2009 Found this to be funny. Salary Theorem: The less you know, the more you make. Proof: Fact #1: Knowledge is Power Fact #2: Time is Money We know that: Power = Work / Time And since Knowledge = Power and Time = Money It is therefore true that Knowledge = Work / Money Solving for Money, we get: Money = Work / Knowledge Thus, as Knowledge approaches zero, Money approaches infinity, regardless of the amount of Work done And this is why we have liberal arts/english majors working at Starbucks. Or because their degrees are worthless. Whatever helps you sleep at night. Command the Murderous Chalices! Drink ye harpooners! drink and swear, ye men that man the deathful whaleboat's bow- Death to Moby Dick!BLOOD FOR THE BLOOD GOD! SKULLS FOR THE SKULL THRONE! Link to comment Share on other sites More sharing options...
Zierro Posted June 11, 2009 Share Posted June 11, 2009 These aren't really riddles, but questions I've been wondering. 1. Are there an infinite or finite amount of colors? 2. There are an infinite amount of positive numbers. There are also an infinite amount of negative numbers. So, there are an infinite amount of numbers plus another set of infinite numbers when you take the negatives into account. (infinity + infinity) Does this mean something can be over infinity? Link to comment Share on other sites More sharing options...
Hobgoblinpie Posted June 11, 2009 Share Posted June 11, 2009 2. There are an infinite amount of positive numbers. There are also an infinite amount of negative numbers. So, there are an infinite amount of numbers plus another set of infinite numbers when you take the negatives into account. (infinity + infinity) Does this mean something can be over infinity? Infinity + -Infinity = Infinity - Infinity = 0 I'm obviously wrong, but it doesn't hurt to try. POH Agility Course, Please Support! Link to comment Share on other sites More sharing options...
mmmcannibalism Posted June 11, 2009 Share Posted June 11, 2009 These aren't really riddles, but questions I've been wondering. 1. Are there an infinite or finite amount of colors? 2. There are an infinite amount of positive numbers. There are also an infinite amount of negative numbers. So, there are an infinite amount of numbers plus another set of infinite numbers when you take the negatives into account. (infinity + infinity) Does this mean something can be over infinity? 1.infinite colors; since its subjective what divides two colors we can continually break the spectrum into halves then fourths and so on ad infinitum 2. There are different degrees of infinity; the set of all positive (whole) numbers is small then the set of all positive and negative(whole) number, but both are infinite sets. Orthodoxy is unconciousnessthe only ones who should kill are those who are prepared to be killed. Link to comment Share on other sites More sharing options...
jemathonical Posted June 11, 2009 Share Posted June 11, 2009 These aren't really riddles, but questions I've been wondering. 1. Are there an infinite or finite amount of colors? I had a yarn with a mate about this. He was wondering if somewhere out in space there is a colour that we have never seen before and we wouldn't know what it would look like because we have never seen it before, I said that it would still be familair to us and yadda yadda yadda ^Sir Jem 05-The Bunny Drinking Blog?^ Click it! Link to comment Share on other sites More sharing options...
indy500fan Posted June 11, 2009 Share Posted June 11, 2009 I had a yarn with a mate about this. He was wondering if somewhere out in space there is a colour that we have never seen before and we wouldn't know what it would look like because we have never seen it before, I said that it would still be familair to us and yadda yadda yadda Colours are merely reflected light, which is the visible part of the electromagnetic spectrum: http://www.yorku.ca/eye/spectrum.gif So if we develop a way for our eyes to see x-rays/microwave rays ect... then those would have a "colour". Link to comment Share on other sites More sharing options...
Recommended Posts
Create an account or sign in to comment
You need to be a member in order to leave a comment
Create an account
Sign up for a new account in our community. It's easy!
Register a new accountSign in
Already have an account? Sign in here.
Sign In Now