Puzzle: Mathematical Ants
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oh god.....
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@nicholishere It says how long for them to walk off, not fall off. Also as has already been said, ants can cling on to a stick if it is upside down.
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awesome puzzle! p.s you look like the twin weasley brothers in harry potter!
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Shortest would be 30 seconds.
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if you think about it the answer is undetermined. the amount of ants going left and the amount going right are undetermined, the answer would change depending on that variable...
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> if the ants have to be positioned with the edge ants on the edge, then the shorted time is 49/101 minutes
How did you get that? There are 99 gaps between the 100 ants. The most an ant has to cover is 49 gaps. That takes 49/99 of a minute, not 49/101. And 51/103? Where on earth did that come from?
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@antares5245 What the hell are you on dude? Watch the video. The ants are evenly spread over the stick. In order for 100 ants to be evenly spread in a 100cm they have to be in the middle of the cm marks. If you make the ants on the left look to the left and the ants on the right look to the right the longest way is 49,5cm. The ants walk 100cm/60seconds so it would take them 29,7 seconds. The longest way any ant would possibly walk is 99,5cm which would take 59,7 seconds.
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@nicholishere Have you ever tried flipping a stick with ants on upside down? They don't seem to notice, and just keep walking.
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@iamdansin That's exactly what I was going to say. The longest is 1 minute, and the shortest, assuming the ants are equally spaced, and that they start with one on each end, is 49/99 minutes, or 29.6969... seconds.
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However, if the ants only have to be evenly spaced, then they can all be placed at the edge facing the edge at an even spacing of zero meters for a zero second solution. But if some of the ants have to be facing separate ways while overlapping that causes a paradox with the definition of collision. But the universe can't handle a paradox. Oh man you just destroyed the universe.
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1 seconed if you flip it upside down :)
nicholishere 5 months ago 31
@iamdansin I figured the same with minor adjustments. My answer would be 29.7 seconds shortest and 59.7 longest as I am supposing initially no ant is not at the edge of the stick. So, the ant positions I am assuming are at 0.5, 1.5, 2.5.....99.5 cm from the edge.
mihassan 5 months ago