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Math Help - The long path

  1. #1
    Junior Member autumn's Avatar
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    The long path

    you are walking down a path when you encounter a fork in the road. waiting at the mouth if the fork is two men. you have no idea which way is the correct way, but both men do. one always lies and one is always truthful. you can ask the men one question and the question must be the same for both men. what question will give you the proper information?\

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  2. #2
    A riddle wrapped in an enigma
    masters's Avatar
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    Quote Originally Posted by autumn View Post
    you are walking down a path when you encounter a fork in the road. waiting at the mouth if the fork is two men. you have no idea which way is the correct way, but both men do. one always lies and one is always truthful. you can ask the men one question and the question must be the same for both men. what question will give you the proper information?\

    (one of my personal favorites)
    Hi autumn,

    As I recall, this is a very old riddle. It seems to me that you would only have to ask one question to either one.

    Here's the question: "Which path would the other one say is the correct path?"

    Let's say the correct path is the RIGHT path.

    If asked to the "truth teller", his answer would be "the LEFT path", since he knows the other guy always lies. So, you do the opposite and take the RIGHT path.

    If asked to the "lie teller", his answer would be "the Left path", since he always lies. So, you do the opposite and take the RIGHT path.

    So, you do the opposite of what is said regardless of who said it.
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  3. #3
    Junior Member autumn's Avatar
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    well now. looks like you are going to be sloving most my riddles, arnt you? haha. i have to find an enormously hard one just for you. that is my new goal on this forum.

    have you ever seen "The Labrinth"? that is where i first came across this one.
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  4. #4
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    Quote Originally Posted by masters View Post
    Hi autumn,

    As I recall, this is a very old riddle. It seems to me that you would only have to ask one question to either one.

    Here's the question: "Which path would the other one say is the correct path?"

    Let's say the correct path is the RIGHT path.

    If asked to the "truth teller", his answer would be "the LEFT path", since he knows the other guy always lies. So, you do the opposite and take the RIGHT path.

    If asked to the "lie teller", his answer would be "the Left path", since he always lies. So, you do the opposite and take the RIGHT path.

    So, you do the opposite of what is said regardless of who said it.
    That's assuming you know which one is truthful and which one is the liar. I'm not sure but I think the riddle should imply that you don't know, which in that case I would ask, "Would you say yes if I said is this the right way to go?" or something along those lines.

    Lets say the way the truth teller stands in front of is the correct way, if you ask him the question then he would say yes, the liar on the other hand would say no; as he would lie and say yes, but then lie about that answer so end up with no, if you get what I mean. Two wrongs making a right .
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  5. #5
    Junior Member autumn's Avatar
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    Quote Originally Posted by steve989 View Post
    That's assuming you know which one is truthful and which one is the liar. I'm not sure but I think the riddle should imply that you don't know, which in that case I would ask, "Would you say yes if I said is this the right way to go?" or something along those lines.

    Lets say the way the truth teller stands in front of is the correct way, if you ask him the question then he would say yes, the liar on the other hand would say no; as he would lie and say yes, but then lie about that answer so end up with no, if you get what I mean. Two wrongs making a right .
    Masters ansewer would work regardelss of who you ask, for both answers would be the same. all you have to do is the opposite.
    If i get what you are saying (which im certain i dont), then that would be incorrect.
    are you implying that you would end up with two seperate ansewers? a "yes" from the truth teller and a "no" from the liar? If that be the case, then how do you know who to trust? Both answers must be the same for this to work. thats the only way to tell that the answer you get will lead you the right way.
    if you were the person stuck with this problem...then you would be dead, my friend.
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  6. #6
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    I think I mis-read the question , didnt see the "other" in it first time.

    What I meant what if you specified the direction of the path, then you would get the same answers and could choose. I worded that badly first time I admit .
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