The White and the Snakeshead
There are two types of Zirconian fritillary: the White and the Snakeshead. Both grow to a height of 45 zonks. The White, however, grows at a rate of one zonk in the first tink, two zonks in the second tink, three zonks in the third zink, etc. The Snakeshead variety is more interesting, it grows in such a way that its height increases by three zonks in first two tinks, by six zonks in second two tinks, nine zonks in the third tinks, etc. The both germinate(from zero height) at the same time.
Which of the two will be fully grown first?
Which of the two will be fully grown first?
Labels: logic, mathemagic
posted by Rajesh Lal at
7:34 PM
19 Comments:
the Snakehead
The White wins by a tink...I think.
The White grows:
1+2+3+4+5+6+8+9= 45zonks (in 9 tinks).
The Snakehead grows:
3+6+9+12+15= 45zonks (in 10 tinks).
Yep, The White wins by a tink.
I see a serious error in yout non-sense measurements.
You speak of zonk and zonks like they are measurements of heights, so they might be like inches or centimeters.
You speak of tink and tinks, like they might be weeks or months.
But once you said "zink" as another time measurment, but there's no clue as to how many tinks are in a zink.
If I change this to better understand the problem, and assume a zink and a tink are both "week" then I get this.
There are two types of plants: the White and the Snakeshead. Both grow to a height of 45 centimeters.
The White, however, grows at a rate of one centimeter in the first week, two centimeters in the second week, three centimeters in the third week, etc.
The Snakeshead variety is more interesting, it grows in such a way that its height increases by three centimeters in first two weeks, by six centimeters in second two weeks, nine centimeters in the third weeks, etc. The both germinate(from zero height) at the same time.
It says the Snakhead grows 9 centimeters in "the third week".
At this point the Snakehead overtakes the White and quickly reaches 45 cm before White.
Did you mean the third pair of weeks, not third week?
I think a zink is neither a zonk or a tink. So, it follows that a zink is a typo in place of two tinks.
An err of the ink...at least that's what I think.
Ragknot, I know what you are thinking, and I got hung up on that at first too until I reread the question.
The Snakeshead variety grows 3 zonks (cm) in the first two tinks (weeks). It does not grow 3 zonks (cm) in each of those tinks (weeks), but rather just 3 zonks for the two tinks combined. So after two tinks (weeks) it is a total of 3 zonks high. After the 4th tink( 2 sets of tink) it is a total of 9 zonks high (3+6), after the 6th tink (3 sets of thinks) it is 18 zonks high (3+6+9), and etc just like the calculations above. So the White variety (because it has an exponential growth pattern) will catch up and pass the Snakeshead variety, and beat it by one tink.
I hope this made it more clear. And why do we have to use zonks and tinks. There is no reason why we can't use weeks and cm.
To Adam,
Yes, you are correct, if you make the reasonable translation that the "third tink" is actually the 5th and 6th tink. Then the two curves are very similiar and the White just beats the Snake.
But taken litertly, the Snake jumps up an extra 9 zonks in the third zink, (which is unreasonable), the Snake would win.
Yeah, I chose to look at what the writer was trying to convey rather than pick at the words (aka typos) he uses. He also said zink instead of tink above and obviously omitted the word two (as in third 'two' tinks), because otherwise tinks should be singular, not plural. This is what happens when you try to get creative and use crazy words. Mistakes get made.
The White grows faster.
It grows 1 zonk in the first tink,2 in the second, etc.
So: 1+2+3+4+5+6+7+8+9=45 zonks in 9 tinks.
And the Snake grows 3 zonks in tinks 1-2(1.5 zonk per tink), 6 in 3-4(3 zonk per tink), etc.
So: 1.5+1.5+3+3+4.5+4.5+6+6+7.5+7.5= 45 zonks in 10 tinks.
Ahh, the zonked tinks you have split
And ignoring the zinks I see you have hit
Upon the right numbers - ten and nine
I know this - because your's now agrees with mine.
Ragknot if you assume that the writer meant to say zink instead of tink and say the third tinks instead of the third two tinks then i cant see a predictable pattern and the word etc. would not fit. it would be unsolvable because a zink could be a day or a month (as opposed to a week) do you agree?
Lets look at this more simply, in two-week blocks.
in block one, White grows 3cm (1+2) and Snakehead grows 3cm.
in block 2, white grows 7 cm (3+4) and Snakehead grows 6 cm.
in block 3, white grows 11 cm (5+6) and Snakehead grows 9cm.
such that, every two weeks, the average rate of growth increases by 2cm/week for the white, and only 1.5cm/week for the snakehead.
omg you people are legends
1+2+3+4+56+7+8+9+45 so it takes 9 tinks for whites
3, 9, 18, 30, 45 is the rate for the sankeheads so the answer is snakeheads becasue it increases to 3 for the first tink, 6 plus the first tink for the second tink, 9 plus the first and secon tink for the third tink and so on so the sankeheads would win
people like you are stoopid who put the whites
First, before you call people stupid (or stoopid), learn how to spell.
Second, the snakeshead does win. Like posted above, it grows 3 zonks in the first two tinks combined. Not every tink. So after the second tink it is only 3 zonks high. After the 4th tink it is 9 zonks high (3+6), and etc, so that after 10 weeks (5 sets of two tinks) it is 45 zonks high (3+6+9+12+15). Re-read the above posts if you don't understand.
For anons that put snakeshead. look at it this may at the fourth tink the snakeshead will be 9(3+6)zonks, but the white would be at 10(1+2+3+4) zonks so the white would have already past the snakeshead by the 4th tink. Also, it would take the snakeshead 10 to reach 45 (3+6+9+12+15) zonks, but it would take the white only 9 tinks to reach 45 (1+2+3+4+5+6+7+8+9) zonks. So white would be the winner.
oops, sorry i was the anon on April 16, I accidently put snakeshead won, but if you look at my explanation, I explained how the white would win. Mislabeling owns me.
what the heck is a zonk and a tink and what ever the other stuff is
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