Patrol 4x4 - Nissan Patrol Forum banner

Settle an argument for me... Maths brainiacs

3.2K views 55 replies 21 participants last post by  ACMPatrol  
#1 ·
So my mate comes over and drinks MY piss, right, and says "y'know" he says, "the hare will NEVER catch the tortoise. Ever."

I says "pig's arse" and he says "nope let's say the hare runs ten times faster, and the tortoise has a ten kilometre head start. They take off TOGETHER, so the hare runs 10km to the tortoise, but in that time the tortoise, at a tenth of the speed of the hare, has gone another km. so the hare goes another km, but the tortoise has gone another 100m. So the hare goes another 100m, but the tortoise has gone another ten metres. So no matter how many times the hare keeps going to catch the tortoise, he slow bastard has ALWAYS gone a tenth of that distance and therefore will never be caught."

After stewing for an hour or so, I told the f&$@tard he was full of ****, coz even though the gap became infinitely small, he was ASSUMING that 0.99999999 recurring was NOT equal to one, ie the gap remains finite. He says of course it doesn't equal one you ****head, but I says hang on knob jockey, if 1 minus x = 0 then what is x? He says 1. Yeah. Now what is 1 minus 0.99999999999999999999 etc???????

Now it CAN'T be 0.00000000000000 etc etc with a one on the end because then it becomes a finite number, so it must have infinite zeroes and therefore never get the one on the end, therefore it equals zero, therefore 0.99999999 etc equals x equals one and the furry little bastard catches the tortoise, and takes off into the sunset.

I think.


So who is right?
 
#3 ·
Just think of two cars, both travelling at same speed as hare an tortoise. The fastest car will always catch to slower car. So he is wrong. Not going into math, too early.
 
#7 ·
With his argument a Ferrari will never catch my NA TD42 patrol if I have a 10k head start?

He's arguing from a hypothetical stand point whereby there is no negative values, but at some point the hares distance traveled will be greater than that of the tortoise even with the head start.
 
#10 ·
I think your math is flawed. I can't explain how exactly but let's say the hare is doing 10kph and the tortoise is doing 1kph. Tortoise has a 10km head start. There difference in speed = 9kph

10km\9kph = 1.11111111' hours.
1.1111111' x 60 = 66.6666666' mins
Round up to 66.7 = 1hr 6mins 42sec and the hare has passed the tortoise.
 
#11 ·
I says "pig's arse" and he says "nope let's say the hare runs ten times faster, and the tortoise has a ten kilometre head start. They take off TOGETHER, so the hare runs 10km to the tortoise, but in that time the tortoise, at a tenth of the speed of the hare, has gone another km. so the hare goes another km, but the tortoise has gone another 100m. So the hare goes another 100m, but the tortoise has gone another ten metres. So no matter how many times the hare keeps going to catch the tortoise, he slow bastard has ALWAYS gone a tenth of that distance and therefore will never be caught."

Also, if you went one more step with your logic you would have got the answer anyway...
You said:
Hare 10kph, Tortoise 1kph
Tortoise 10km head start
After one hour the hare has done 10km to the tortoise start point, but the tortoise is now 1km up the road.

So the hare runs that 1km but the tortoise has done another 100m, so is still 100m in front of the hare

What happens when the hare runs the next hundred metres mate? The tortoise will only have done 10m so the hare will be 90m ahead.
 
#13 ·
Mate his theory only works if the hare only goes in steps that equal the distance the tortoise is currently ahead. If you dare suggest the hare just runs further he gets uppity.

Stuff him we all know the hare will win.
 
#12 ·
You know the same bloke also discredited my physics-defying perpetual motion anti gravity machine that I invented. Just have to get some laser cutting, some rare earth magnets and another can of inox and ill get around to making it. Only problem is once it's output power goes over the input power and goes over unity it defies gravity and just fcuks off upwards and I can't control it then someone else wants to see it so you have to build another one just to satisfy the naysayers and before you know it the CIA type suits take you away and erase you from history ffs. I'm working on it.


I'd go round there and drink HIS piss, but he's never got any.
 
#17 ·
I'd go round there and drink HIS piss, but he's never got any.
That's your second problem in this equation, he has none...the first he drinks yours and the third is something about a rabbit.....



:)
 
#15 ·
My perpetual motion motor would be a good thing then .. You could use it to power a gravity generator to bring your anti gravity machine back down ... Save building another one ... I have a similar problem though as once my motor starts you can't stop it and it gets faster an faster until it explodes
 
#18 ·
What you fail to recognise is that the tortoise is an amphibian. If there is a river to cross then the Hare will be rooted. There is not enough information here to make a proper decision.

Why is the Hare chasing the Tortoise? Is he a ****?
 
#32 ·
Why is the Hare chasing the Tortoise? Is he a ****?

Females can be ****'s too domi. Actually I know a couple of them. They are charming and decent people. Neither of them is a hare or a tortoise though.
Not doubting your lady rug munching friends are not lovely people, but you did say earlier 'Is he a ****?' Implying male.

Lee , sqaulo and suggy go into a 2nd hand shop I work at to buy a $30 tv. they put in $10 each to make the $30 total. The boss being Jackd tells me to give it to them for $25 as he is a nice bloke, i laugh to myself and pull 5 x $1 coins out of the till. I give the boys a dollar each and put the remaining $2 in my pocket.
the guys have payed $9 each and I have $2 in my pocket......

3 x $9 = $27 + my $2 = $29...... other than the govt where is the missing dollar.

WTF? 1am and your asking questions like this?
My guess is the missing dollar is in the same place as the socks you lose in the wash.
 
#23 ·
Assuming you could position a hare and a toitiose at those distances apart and somehow the hare knows how to run in a straight line (or the same course) as the toitose at a constant speed (wouldn't it get tired and run slower?) There is no gaurentee that the td42 or ferarri mentioned earlier that happen To be on the same track won't run either over.

Not sure why one would chase the other as they are not natural enemies.

I think I need to drink a bottle of turkey just in case.

Sent from my Galaxy Nexus using Tapatalk 2
 
#26 ·
Umm...

Ok so after my initial puzzlement we have established that we have a hybrid turtle/tortoise that may or may not be a **** being hunted down by an equally sexually ambiguous hare/rabbit who may or may not be driving a TD42 powered Ferrari, in a non linear fashion whilst muttering long words beginning with "A" and being pack raped on the finish line.


Glad I asked!!!!

Thanks for the thoughts, I wouldn't have come up with that by myself, and the bloke with the magic motor I may take you up on that to hunt down my missing anti gravity device. When it goes missing.

Speaking of magic, hares and rabbits.....

I, myself, can do magic tricks.

Well, sort of.


I CAN'T pull a rabbit out of a hat but I CAN pull a hair out of my arse!!!
 
#28 ·
Well, this bugged me, first of all because I edited my first answer that was right to what is there now which isn't. And secondly as to how it is so easily worded as to almost make sense that the hare never catches the tortoise, it's simply because the exact time the hare catches the tortoise doesn't exist as a decimal, only as a surd, the two animals are in the same place at 10/9 hours from the start, or 1 and 1/9th hours, or 66.66666 minutes so the infinite progression is actually true.

Ask you mate this one... There are three doors and you are asked to pick one in hope of getting the one with the prize behind it. You choose one at random, then one of the other doors is eliminated from the selection so there are only two, the one you chose and other one... You are asked if you want to now choose the other door, do you?
 
#33 ·
Did your mate pass year 8? and does he realise that the speed of the hare is not dependant on the speed of the tortoise?
 
#35 ·
Let me guess, your mate is an engineer and it looks good on the paper he wrote it on!:rolleyes:

Foo
 
#36 ·
Oh and while we're at it.......Where was the man when he jumped from the bridge?:)

Foo
 
#39 ·
Its like the old trick to confuse the kiddies.

Tell em' when you were 1yo i was 25yo so 25 times your age. now that you're 6yo and im 30yo im only 5 times your age, when youre 24 ill only be 2 times your age. . . . so youre catching up! one day you will be older than me at this rate!

and while youre aging faster than me youre gonna have more birthdays. if we race to being 50yo, im only going to have 20birthdays but in the same time you will have 44.

maths is great for confusing people who know a little bit.
 
#40 ·
it is on of Zeno's Paradoxes, "Achilles and the tortoise". Suffice it to say, no-one here is going to have the mathematical ability to solve it. But at any rate, it is more a question for a philosopher than a mathematician.
 
#42 ·
Hi,

It does not need solving, simple fact is the if 2 objects are traveling in the same direction, if the slower leaves first it is a matter of when rather than if the 2nd catches up. The Maths is used only to confuse the issue. If I escape from a Prison, and a guard shoots at me I wont out-run the bullet. Some people need to get a grip / release their grip depending....

Regards B M
 
#44 ·
You are mostly correct, it doesn't NEED solving down to the point of finding the exact time that the fast object catches the slow object, but you do need to PROVE that at some point the fast object is in fact in front of the slow object, which is easily done by showing the distances traveled by both objects at t=2hrs.