09-28-2012, 07:34 AM | #9361 | |
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I'll be back with a question as soon as I can think of one Last edited by Iznogood; 09-28-2012 at 08:02 AM. |
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09-28-2012, 12:37 PM | #9362 |
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All right. Then I have a question. And guess what - there's math involved here also. But it's not advanced math, rest assured...
Here goes: A bridge will collapse in 17 minutes. 4 people want to cross it before it will collapse. It is a dark night and there is only one torch between them. Only two people can cross at a time. Person A takes a minute to cross. Person B takes 2 minutes to cross. Person C takes 5 minutes to cross. Person D takes 10 minutes to cross. How do they all cross before the bridge collapses? Bonus question: It was very late yesterday night I worked on Fbones question, and I made a big mistake. A mistake so big I had foul nightmares about this all night. In my answer I listed all the possible combinations of integers whose product was 72, or at least I thought I did. But after thinking about it, I now see I missed 50% (sic(k)!) of the possible combinations. Who can find the missing possible ages of the children? |
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09-28-2012, 01:05 PM | #9363 |
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You've missed the "1" as in 1 * 6 * 12 or 1 * 8 * 9 (I refuse to regard 1 * 2 * 36 or 1 * 1 * 72 as possible answers )
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09-28-2012, 01:20 PM | #9364 | |
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1 1 72 1 2 36 1 6 12 1 8 9 are possible solutions, although the two first are a bit farfetched, as you say. There are still two possibilities not mentioned yet in the thread. THere should be a total of six combinations of ages containing a one-year-old |
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09-28-2012, 02:12 PM | #9365 |
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Then 1 * 3 * 24 and 1 * 4 * 18 have not been mentioned yet, with the same caveats and I don't know if they count as children for the census.
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09-28-2012, 02:13 PM | #9366 | |
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Quote:
1 4 18 |
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09-28-2012, 02:21 PM | #9367 | |
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A&B cross: 2 min A comes back : 1 min C&D cross: 10 min B comes back: 2 min A&B cross: 2 min Total time: 17 mins. The way to work it out is this. There must be three crossings and two crossings back. One of the crossings must take ten minutes. The two crossings back must take at least two minutes in total. That only leaves a maximum of five minutes for the remaining two crossings. If C is doing one of those crossings, that leaves no time for the final crossing. Therefore, C&D must cross at the same time. But neither can come back, as that would use up more than the time available. So, neither C nor D can do the first crossing, so A&B must, and one of them must come back. Then, since C&D must cross together, they must do the next crossing, and the other one on the far side must come back. And then A&B cross together again. Either A comes back first and B comes back second or vice-versa. It makes no difference to the overall timing. |
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09-28-2012, 02:34 PM | #9368 |
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Billi correctly found the six remaining solutions to the possible ages of the children (even though, "children" might not be the correct term of all possible solutions), and the Grand Mouse quite correctly managed to rescue all the four people over the falling bridge. Well done and over to you, pdurrant
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09-28-2012, 03:38 PM | #9369 |
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Name the pet(s) of these cartoon families:
The Simpsons The Flintstones The Jetsons The Griffins The Hills The Addams The Pickles |
09-28-2012, 03:43 PM | #9370 | |
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The Simpsons - Santa's Little Helper The Flintstones - Dino The Jetsons - Astro |
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09-28-2012, 03:57 PM | #9371 |
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This assumption is only correct when family sanity of x' family trends towards zero or family insanity (the inverse of family sanity) trends towards infinity
The Griffins' dog is called Brian Last edited by Iznogood; 09-28-2012 at 03:59 PM. |
09-28-2012, 05:13 PM | #9372 |
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09-28-2012, 05:14 PM | #9373 |
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09-28-2012, 05:18 PM | #9374 |
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Name the pet(s) of these cartoon families:
The Simpsons (1) Santa's Little Helper Bilbo1967 The Flintstones Dino Bilbo1967(2) Snowball Bilbo 1967 The Jetsons Astro Bilbo1967 The Griffins Brian norway1456 The Hills The Addams The Pickles Bold families have all the pets named (in my opinion). 4 points to Bilbo1967 1 point to norway 1456 It's still anyone's game, with many more than four points left. Last edited by pdurrant; 09-29-2012 at 03:59 AM. |
09-28-2012, 05:30 PM | #9375 |
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Is the Simpsons' cat called Snowball?
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