tintytiny Posted October 27, 2011 Share Posted October 27, 2011 It's become a sort of tradition. Posting riddles. I have a giant collection of riddles, and, well, I've gotta tell them somewhere, so I just victimize people wherever I go. So here's the first one, to start us off. :) Don't know if there are any math geniuses around here, so I'll start with a lovely easy one. Four people need to cross a bridge, in pitch black, to catch a train. (Don't ask me why, okay.) They've got seventeen minutes to get across the bridge before the train leaves. They've only got one torch between them. Anyone crossing the bridge MUST carry the torch, which means each time people go across, someone has to come back to give the torch to the next people so they can see their way across. The bridge can only withstand the weight of two people. The people all walk at different paces. Person A - 1 minute to cross. Person B - 2 minutes to cross. Person C - 5 minutes to cross. Person D - 10 minutes to cross. If a pair goes across, they must travel at the rate of the slowest person. In what order will they cross the bridge in order to ensure they get to the train in time? Post if you know the answer. ^_^ Quote Link to comment Share on other sites More sharing options...
barkie Posted October 27, 2011 Share Posted October 27, 2011 I will need a better calculator than mine to work that out. :worried: Quote Link to comment Share on other sites More sharing options...
Tynach Posted October 27, 2011 Share Posted October 27, 2011 That's easy. Person A is the one who goes back and forth on the bridge to keep holding the flashlight, and in that way it doesn't matter what order the rest of them go in. So, the pairs are like this: AB AC AD In no particular order. I'm assuming that faster people can slow down to the rate of the slower people. Else, since no two people are the same rate, this entire system falls apart and becomes impossible. Edit: Actually, if you count the time for the person going BACK across to give the flashlight to the next person... I don't see a way for it to be possible at all. AB - 3 mins (2 across, 1 back) AC - 6 mins (5 across, 1 back) AD - 10 mins (don't have to go back) Total: 19 minutes. Quote Link to comment Share on other sites More sharing options...
tintytiny Posted October 28, 2011 Author Share Posted October 28, 2011 Barkie~ actually, for this problem, you don't need a calculator at all, unless you can't even add 1, 2, 5 and 10... Tynach~ Yes, sorry, I edited it. :) And also, I do count the time going back. It's perfectly possible. ^_^ Quote Link to comment Share on other sites More sharing options...
shiranui_xiii Posted October 28, 2011 Share Posted October 28, 2011 Guys, we've found the real life Professor Layton! :laughingsmiley: I've seen that riddle before, but the numbers were a bit different. Quote Link to comment Share on other sites More sharing options...
Tynach Posted October 28, 2011 Share Posted October 28, 2011 I FOUND IT!!! Notation: AB <A = "Person A and B go across, person A runs back." Solution: AB <B = 2+2 = 4 CD <A = 1+10 = 11 AB = 2 4+11+2 = 17 Edit: I was at first trying to keep every single move as the shortest possible, but then I tried doing it the opposite - get one or two moves to equal the largest allowable (I calculated 15), which would require the 'D' to move within the first couple moves, and I happened to guess the right one after a couple tries. The first two moves add up to 15, and I realized the next move wouldn't be too large... And I guess I was right! Quote Link to comment Share on other sites More sharing options...
Sweetdang Posted October 29, 2011 Share Posted October 29, 2011 Aha! Very clever! I love these. :) More, more! (My turn to guess this time. :D ) Quote Link to comment Share on other sites More sharing options...
tintytiny Posted October 29, 2011 Author Share Posted October 29, 2011 Shira~ xDD Yeah, riddles just get told around until they come back to where they started. Tynach~ Yes, you did. ^_^ Grats! Sweetdang~ Right you are. xD Off we go. You have seven coins, laid out like this: o o o o o o o As you can see, there's five in one row and three in the other. So, the question is: how can you move them so there's five in each row? Quote Link to comment Share on other sites More sharing options...
Tynach Posted October 29, 2011 Share Posted October 29, 2011 You have seven coins, laid out like this: o o o o o o o As you can see, there's five in one row and three in the other. So, the question is: how can you move them so there's five in each row? This is probably not right, but... o ooooo o If you use a grid, and the only way to line them up is with a grid, then the three middle ones will be considered 'lined up' with the two on the top/bottom. This is called aliasing when it comes to pixel graphics on a computer monitor. You can't draw a true diagonal line on a screen, so you draw a jagged one. Edit: This is another lame 'answer' to the question: ooooooo Basically, it's two 'rows' overlapping each other. (oo(ooo)oo) Quote Link to comment Share on other sites More sharing options...
Sweetdang Posted October 30, 2011 Share Posted October 30, 2011 I am confused. My brain cells are dying now, and I agree with Tynach on BOTH solutions. Also I liked the second one more. :P Quote Link to comment Share on other sites More sharing options...
Bernard Posted October 31, 2011 Share Posted October 31, 2011 wait, just a quick question, can you stack a coin on top of another? Quote Link to comment Share on other sites More sharing options...
tintytiny Posted October 31, 2011 Author Share Posted October 31, 2011 Tynach~ Nice try, but not exactly... er, what I was looking for. xD Bernard~ Yeah, you can. Quote Link to comment Share on other sites More sharing options...
Sweetdang Posted October 31, 2011 Share Posted October 31, 2011 If you can stack them, isn't this question magically answered? :D o o o o o And the one in the middle with 3 coins. Quote Link to comment Share on other sites More sharing options...
Tynach Posted October 31, 2011 Share Posted October 31, 2011 If you can stack them, isn't this question magically answered? :D o o o o o And the one in the middle with 3 coins. That's probably the correct answer, but myself being a 3D nerd, I disagree ;p That would actually, from a 3D perspective, be 3 rows of 3... Not 2 rows of 5. Quote Link to comment Share on other sites More sharing options...
tintytiny Posted November 1, 2011 Author Share Posted November 1, 2011 Yeah, that's the right answer. :) And Tynach, you're probably right, but for the purpose of this riddle, it's the only way. xD Next. You've got two hourglasses, one with 7 minutes' worth of sand and one with 11 minutes' worth of sand. Using only the two hourglasses, how do you accurately time 15 minutes? Quote Link to comment Share on other sites More sharing options...
Sweetdang Posted November 1, 2011 Share Posted November 1, 2011 Turn both hourglasses over, so the sand starts. The moment the 7 mins one is over, you can start calculating the 15mins. The remaining 4mins in the 11min one + when you finish you turn it over = 4+11 = 15mins! :D Quote Link to comment Share on other sites More sharing options...
tintytiny Posted November 6, 2011 Author Share Posted November 6, 2011 Yep, you got it. xD Are these too easy? Do you want a harder one? Quote Link to comment Share on other sites More sharing options...
Tynach Posted November 6, 2011 Share Posted November 6, 2011 Yep, you got it. xD Are these too easy? Do you want a harder one? I think the winner of the previous one should post the next one, and so on. But that's just me ;p Quote Link to comment Share on other sites More sharing options...
Bernard Posted November 6, 2011 Share Posted November 6, 2011 Well, i do think these are a bit too easy. But, i been late to solving each one because when i come on, the answer is already there. By the way, i agree that the winner should post up the next riddle. :P Quote Link to comment Share on other sites More sharing options...
Sweetdang Posted November 6, 2011 Share Posted November 6, 2011 Butbut the winner doesn't knew any riddles! D: Okayy hmm can it be a word one? :D No searching the answer online! >:[ (I don't even know if it's online... but everything is, honestly.) I have a mouth But I cannot eat. I have a bed But I cannot sleep. I run all day and run all night - What am I? BEFORE you answer this I have to tell you that it's NOT Edward Cullen. Got that? Okay. :D One more, cause it's so easy. :) The more you take, the more you leave behind. What am I? Quote Link to comment Share on other sites More sharing options...
tintytiny Posted November 6, 2011 Author Share Posted November 6, 2011 I know that one. It's a river. 0:-) And the second one's... a hole? All right, a harder one then. :P You have two eggs (let's pretend they're really, really hard to break, okay). There's a 100 storey building in front of you, and you know there's a certain floor that, if you drop an egg from it, it'll break, but if you go a floor lower and drop the egg, it won't. What's the least number of drops you have to do with the two eggs to be absolutely sure that you can find the designated floor? (You're allowed to break the eggs, as long as you can figure out the floor.) Quote Link to comment Share on other sites More sharing options...
Tynach Posted November 7, 2011 Share Posted November 7, 2011 I know that one. It's a river. 0:-) And the second one's... a hole? All right, a harder one then. :P You have two eggs (let's pretend they're really, really hard to break, okay). There's a 100 storey building in front of you, and you know there's a certain floor that, if you drop an egg from it, it'll break, but if you go a floor lower and drop the egg, it won't. What's the least number of drops you have to do with the two eggs to be absolutely sure that you can find the designated floor? (You're allowed to break the eggs, as long as you can figure out the floor.) Probably the wrong answer, but with the specific wording you chose, 2. The least amount possible is 2, in case you happened to either: A.) chose the exact floor first, or B.) chose the floor above the exact floor first. In the first case, the egg won't break, so you move up one level and you drop... And the egg will break. So you know know the correct floor. In the second case, the egg will break, so you move down one level... And it doesn't break. So you know the correct floor. But that's if you're EXTREMELY lucky. The more you take, the more you leave behind. What am I? I've heard this one before, but I don't remember what it is. 'A hole' doesn't sound right. Quote Link to comment Share on other sites More sharing options...
Bernard Posted November 7, 2011 Share Posted November 7, 2011 The more you take, the more you leave behind. What am I? I don't think it's the right answer because i think it's suppose to be an object, but my guess is time? Quote Link to comment Share on other sites More sharing options...
Tynach Posted November 7, 2011 Share Posted November 7, 2011 I don't think it's the right answer because i think it's suppose to be an object, but my guess is time? Sounds closer, but how do you 'leave behind' time? Quote Link to comment Share on other sites More sharing options...
tintytiny Posted November 7, 2011 Author Share Posted November 7, 2011 Oh, I thought it might be a hole... like, you know, the more you take out of the hole, the more that's behind you. xD Footsteps? Like, the more footsteps you take, the more you leave behind you? This is what I said: 'What's the least number of drops you have to do with the two eggs to be absolutely sure that you can find the designated floor?' If you're just guessing, well... you can't guarantee you'll guess correctly and have it done in two tries, right? ;) The minimum number you have to do to be absolutely certain you can find the floor within that number of tries, no matter what the floor happens to be. Quote Link to comment Share on other sites More sharing options...
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