Roll of Cloth
A man has a 100-yard roll of cloth and he wants to cut 100 lengths of 1 yard each, if he cuts 1 piece in 3 seconds, how long will it take him to cut all of them?
Eric
Eric
Labels: SharedPuzzle
posted by Mr Fahrenheit at
1:24 PM
25 Comments:
297 seconds!
lol, you got there first, yer, 297 seconds, or 4mins 57 secs, depending on how you wanna put it...
Way less. He could fold the cloth in half several times and make less cuts, still ending up with 100 1-yd. pieces. Theoretically, he could probably make two cuts, taking 6 seconds.
isn't two cuts in 6 seconds the same as 1 cut in 3 seconds which would be 297 seconds or 4 miuntes and 57 seconds to cut 100 1 yard cloths
how is it 297s?
because to split a piece of material into 100 pieces it takes 99 cuts. so 99cuts x 3 secs = 297 secs
The guy who said you could theoreticlly make 2 cuts in 6 seconds meant you could take 2 total cuts, which would be impossible, in 6 total seconds...
His way does make since though. Or cutting in strips, but I think they were going for the missing cut that everyone easily got. I believe 297 to be the answer they were looking for.
What I was trying to say was that you can roll the cloth in such a way that you cut through many layers of cloth--in fact, you could even roll it such that you could makd one cut through 100 layers of cloth, resulting in the strips you need.
Last Anon.. that wouldn't work.. the inner layers would be shorter than the outer layers.. if you have concentic circles, the arc distance of an angle is short on the smaller diameter circles.
However, if he's allowed to fold, he could fold the whole length in half twice to get 25 yard length. Make 26 cuts.. (2 are on the the ends) for a 78 second..
But I agree, the correct answer is 297 seconds.
yep definately 297s coz
99x3=297
thus
297/3=99
thus
297/99=3
Am i right or wrong?
tell me if i am
I think it's 300... never says not including the first cut, which then implies all 100 cuts...
I'm just saying...
stezy - just don't say
Nvm I guess the last piece wouldn't take 6 seconds to cut XD
there is no correct answer as the variable of moving the cloth, and measuring the cloth,isn't accounted for. When someone does repetitive tasks, the learning curve takes place and theoretically he should be able to make the cuts in less time. and what about working with other people, if he has 98 other people, it wouldtake a total of 3 secs, like some grandopening ribbon ceremonies more than one person can make a cut on one ribbon.
The way the question is put, I think it's safe to presume that he is alone, cutting one piece at a time (as taylors do) and taking 3 seconds per piece, regardless of any learning curve (which he might have optimized 20 years ago, for all we know).
where is the answer????????????????
That was fun to read I think some of you are the type of people to overthink something. I believe that 297 sec is what the writer was intending for an answer. Maybe the simplicity was the trick in the question.
The question doesn't say you are constrained to cut one layer at a time, but you can't get exactly equally-sized 1 yard pieces if you just fold it a bunch of times. Standard cutters cut through many layers at once, and so would be reasonable to be allowed by the puzzle.
Therefore, you cut it in half, place the one half on top of the other, cut that in half, and stack them. Now you have a stack of 4 sheets of 25 yards each, in 2 cuts.
Cut them at 12 yards, leaving 4 stacks of 12 yards and 4 stacks of 13 yards. Stack these and cut at 6 yards.
Continue the process cutting near the half way mark, until you have made 7 cuts. 21 seconds.
The time it takes to adjust the cloth is specified to be included in the 3 seconds so no time needs to be added, and wouldn't be known in any case.
Even if you don't think it's fair to require 28 sheets to be cut at once (the max in my method), surely you would allow folding the cloth in half once before you start and cut just two layers 25 times (24 cuts plus 1 for the folded end piece), making 75 seconds.
It wouldn't be much of a puzzle if the answer is to simply cut the cloth 99 times, but if that's somehow a constraint, then 99 cuts = 297 seconds.
Three answers, depending on constraints unspecified in the wording of the puzzle.
You could even fan-fold it, and make all 99 cuts at once if you wanted to get really crazy.
But if u do that, wouldn´t the cloth be thicker, so it would take more than 3 seconds per "cut"? lol
Or you could fold it into a massive origami crane, then do a samurai swoosh so that 100 one-yard-bits of cloth come floating down. All within three seconds, of course.
The puzzle states that he cuts 1 piece in 3 seconds. Cutting multiple layers is not cutting 1 piece, it is cutting several.
it would have only taken him 3 seconds assumeing that he folded the material 2 times and cut once thus make 100 pices if he cut in the right spot
If each cuts 1 piece at 3 seconds, it will take him 300 seconds to cut 100 pieces. In short, it will take him 5 minutes to cut all of them.
500 hours
cut 100 yards into 100 peices, then cut 100 pieces into 100 more pieces. 3 seconds per cut...
3*100*100=30000
3000/60=500
297 seconds...
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