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  1. Mike and Ike’s Trike

    Probably not what you are looking for but might as well try. In the spoiler, Thalia asks "How do you define distance?" then discusses the concept of displacement and puts this into the perspective of start and end points. Complete circles could then be considered as a distance of 0. Excellent thought, displacement, but not what I had in mind at all. Read on. Another amazing idea brought to bear on the riddle! If the riding surface is moving relative to "solid ground" then the distance covered by the rider relative to solid ground can be equalized. I am constantly amazed at the ingenuity of the Brain Denizens! However, my trickery was much simpler than this. Read on. I feel that Superprismatic has touched so closely upon my solution that I can no longer maintain the charade. Below you will find my intention and the solution.
  2. Mike and Ike’s Trike

    No, that is an interesting idea, but you are not correct. Sorry. Yes, that is a safe assumption. They ride the same trike and they pedal it at the same rate. No, they pedal at the same rate, rotationally speaking. You could argue that they are exerting the same ENERGY due to the presence of the water, but that was not my intention. I must therefore disagree with your agreement, though it pains me to say so. Another interesting concept, I admit. Would you care to expand upon this?
  3. Perpetual Motion?

    Baby Mac, I first want to apologize... While I was writing a new puzzle post, you posted your first puzzle (we were just a few minutes apart). I apologize because my puzzle will probably supersede your puzzle on the Google gadget only minutes after yours shows up. I know that if I were you, I would want my puzzle to remain visible for some time and NOT be replaced by someone else's puzzle. Had I known you were posting, I would have waited a day. So sorry. Now, about YOUR puzzle... Is the area flat, other than the three hills? Does the orb have a starting velocity, or does it actually begin at the apex of the first hill? Are these hills actually round when viewed topographically? Or is your intent that these are rises and valleys which run transverse to the path of the orb, like speed-bumps? I'm hoping these questions will help you to clarify your puzzle.
  4. Mike and Ike buy a trike and ride in circles around a spike. They each ride at a different time of day. They both pedal at the same rate. They both make perfect circles with the spike at the exact center. Mike rides twice as long (time) as Ike, but they cover the exact same distance. How is this possible? (Edit - minor change in terms)
  5. Murder in the kitchen

    1. This is my 100th post - I am now an "Advanced Member". Yay! 2. I worry about this puzzle ever being completely resolved because the OP author is a two-timer (it's a joke - written a total of two posts to date). 3. Important question ... Is the word "murder" to be taken seriously? Murder is defined as the taking of a HUMAN life by another HUMAN. What exactly is meant by the phrase "yet the detective was a child who went to school"? The detective was a school-age child The detective was a child AND had already made the trip to his/her school before he/she found the suspect The detective was a child, the detective found the suspect as noted in the previous statement, and THEN went to school
  6. Crossing the River

    In that case, try this solution:
  7. 10 month old puzzle, + 9 months since last post, + 11 posts total = dead puzzle. Bummer.
  8. Crossing the River

    In light of ak4su's comment, I think a clarification is in order...
  9. Hyperspace Racing

    "I see", said the moderately stupid Smith. Thanks, curr3nt (do you realize how desperately difficult it is to force my finger up to the "3" when I want to type an "e" in your name?).
  10. Pirates and Laptops

  11. Crossing the River

    Well, given thoughtfulfellow's response, I now must assume that wolfgang meant that there was a GRAND TOTAL of $33 between the two families' funds. Therefore, my solutions cost $38 and $34, respectively. That also means that thoughtfulfellow spent $4 less on his "Driver + 3 Passengers" solution (I'd like to see it). Oh, well. Back to the drawing board. (and, post-posting, I see mewminator's comment to the same effect. Thank you, mewminator.)
  12. Crossing the River

    If the boat driver is included in the three total passengers on each boat trip, the solution still costs way less than the $66 total available:
  13. Crossing the River

    If it is the boat driver PLUS exactly three passengers, the solution is too easy and costs way less than the $66 total available:
  14. Hyperspace Racing

    I'd like some clarification, please. In the OP, it states "Before each move, you specify an acceleration vector (a,b,c), where a, b, and c can independently take on integer values from the set (-1, 0, 1)." But it seems to me that both Captain Ed and Molly Mae chose some vector accelerations way beyond these limits. Did I misunderstand?