I’ll Cross that Moat
I need to enter a castle that is surrounded by a five meter wide rectangular moat filled with water. I have an aversion for getting wet and only have two 4.8 meter long planks with no rope, nails, etc. How do I get across?
Communicated by G. Mejia.
haha — there’s a better soln — sjm1 AT williams.edu
jump
Mike L: the math works, well done
NO — there’s no time like the present (sjm1 AT williams.edu)
Is it okay to wait until Winter when there is a frost and waltz on over using the boards to keep your feet from slipping?
emailed hint //s
Been working on this for a while. Can you please email me the answer!!
Thanks!
nope. //s
Depending on the depth of the water (assume 1 inch for our purposes), you can have your plank go from the water to the edge and step roughly 0.2 meters onto the plank and walk across.
Did I mention that we’re on Jupiter, with a very strong gravitational field? It’s all we can do to crawl…. :]
can’t you just jump across it? its only 5 meters
sure == just sent (sjm1 AT williams.edu)
Hello, please would you send me a hint, all my ideas seem physicaly unimplementable
sure, done //s
I’m having a hard time with this riddle. Can you please email me a hint?
nope — that won’t be secure enough to walk over….
place them so they lean on each other above the mote and pass over them ?
I’ll send hints first. //s
Can I have the solution to this and Sumthing’s Up?
correct, those don’t matter //s
it didn’t specify the thickness or width of the boards and the height of the moat
you’re actually very heavy, but these are sturdy boards. nice attempt, but there is a clean ‘math’ soln
yes…but no pole, I ‘d say, stand on one, assume you are ultra light, and use the other to paddle across
pole jump the moat.
Hi — if you want to chat about these riddles, especially putting these into a classroom setting, feel free to email me at sjm1 AT williams.edu
hi
imagine you have two circles, with the outer having a radius that’s 5 meters longer than the smaller circle. the area b/w is the moat. does this help?
Could you please explain this question more clearly?
sure //s
say it’s two inches wide, but VERY sturdy.
I’ve been trying this for a while and I’ve read all of the comments but they just confuse me. Can you send me a hint please?
Thanks
How wide is the plank. If it is a square then this is easy to solve.
I’ll send a hint first. //s
i cant emagine the whole picture, please tell me the answer.
sure, I’ll email a hint. Hope the crew is enjoying them. //s
I’m obviously missing something here. Even after reading all of the comments, I’m even more confused. It pains me to ask but can i get a hint please?
These are cool by the way, i post them in our jobsite trailer everyday for the crew to try and solve.
Absolutely, will do
Hi, Steve! Love your site. I have several classes of 4th graders working on some of your problems, including this one. Can their teacher or myself email their solutions to you so they can check their answers?
nope, there is a simple, geometrical soln
Polevault?
picture a circle and then a larger circle, with say a 5 meter separation.
Im not picturing this. It’d be easier to understand if there were a picture ๐
ah, but will those support the weight? Andre the Giant’s bigger brother is coming….
or you could do it the non mathy way and steeple the planks
But that won’t have you CROSS it.
just walk around tha moat as the question never said how long it was
To: marckorevaar1@
You are correct, but made an algebra error on lengths.
Hi Steve,
If placing the planks in the corner of the moat (the 1st plank at 45 degrees to either edge and the 2nd plank from the center of the 1st plank to the corner of the castle side of the moat). My problem is that the length needed to cross is: sqrt(50)=+/-7.07 which is larger than the length obtained by the 2 boards: 4.5 + 4.5/2= 6.75.
Could you give me a hint as i think i miss something.
Cheers, Marc
PS: thanks for all the riddles
Sure, sent along.
hint plssss…
Sure — will email you. //s
i dont get this…can u give me a hint?
This seems like you’re solving the problem 3-dimensionally and building upwards. You don’t need to do this.
Is the answer you place the two boards at 45 degree angles over the five meter moat, with by just leaning over the .5 meter to place the first plank over on the other side, then using your second plank to lever it into place, so that the hypotenuse would be the square root of two times 4.5, which is about 6.36, to cover the 5 meter moat-span? And then just… applying force evenly as you walk against the point where the two planks meet so it won’t fall over. Or is this a lot more complicated than that, and also if that’s even possible?
Sure, just emailed you.
I end up needing my second board to be 4.82 meters ๐ can you give another hint?
It’s so hard to judge these riddles. So many of them depend on whether or not you see the right way to look at them quickly (in which case they’re easy as often there is an elegant solution), or not.
I think this one should be put in the easy category ๐
Yes — the moat is rectangular (or perhaps a square — I forget how the problem is phrased right now).
I suspect that the riddle should state that the moat is rectangular.