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Perplex City Puzzle Cards
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PXC: Green Puzzle Cards
#109 - Green - Infinite Series
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[quote="Riiick"][quote="minnie the third"]This is a basic maths question we did at school with other info added to confuse. the bee is flying for an hour at 75km/hour = 75. no convoluted formulas are needed at all.[/quote] I know, I just wanted to illustrate the infinite series side of the card.[/quote]
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PXC: Green Puzzle Cards
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[10 Posts]
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Message
aliendial
OOps. Wrong thread, King Cody. I think that list is in the correct thread, (card #112) but thanks for the confirmation!
Posted: Sun Dec 10, 2006 8:50 pm
King Cody
and for completness, These anwsers are Conferemed
Spoiler (Rollover to View):
1. French
2. Italian
3. German
4. Welsh
5. elvish
6. Danish
7. Japanese
8. Russian
9. Ghanaian
10. Kiswahili
Posted: Sun Dec 10, 2006 6:16 pm
Riiick
minnie the third wrote:
This is a basic maths question we did at school with other info added to confuse. the bee is flying for an hour at 75km/hour = 75. no convoluted formulas are needed at all.
I know, I just wanted to illustrate the infinite series side of the card.
Posted: Sat Jan 07, 2006 5:55 am
minnie the third
This is a basic maths question we did at school with other info added to confuse. the bee is flying for an hour at 75km/hour = 75. no convoluted formulas are needed at all.
Posted: Fri Jan 06, 2006 1:08 pm
Riiick
Nightingale wrote:
I don't mean this to sound cheeky but has that answer confirmed?
I thought that there was going to be a lot of working out involved as it seemed complicated - or is this a trick question?
Dazed and confused
Nightingale
It is, that is certainly the sane and easy way to do it. However as the bee has to go back and forth an infinite number of times it is also be the sum of the following infinite series...
Spoiler (Rollover to View):
D = 60 + 60*0.2 + 60*0.2^2 + 60*0.2^3 + 60*0.2^4 + 60*0.2^5 + 60*0.2^6 + ...
Which can be solved with the following equation:
D = 60/(1-0.2)
=75
Posted: Sun Nov 27, 2005 5:49 am
uneasyjd
Yup.
Spoiler (Rollover to View):
It's 75.
Posted: Sat Nov 26, 2005 11:19 am
European Chris
I don't know if it's been confirmed but it's a lovely question
Posted: Fri Nov 25, 2005 11:28 am
Nightingale
I don't mean this to sound cheeky but has that answer confirmed?
I thought that there was going to be a lot of working out involved as it seemed complicated - or is this a trick question?
Dazed and confused
Nightingale
Posted: Fri Nov 25, 2005 11:17 am
Kvasir
Spoiler (Rollover to View):
Fairly simple one really. The trains meet at the 50k mark, after travelling for precisely 1 hour. In one hour the bee travels 75k.
Posted: Thu Nov 24, 2005 3:48 pm
monkeytroll
#109 - Green - Infinite Series
The architects of Perplex City's railroads loved building everything in straight lines - mountains, rivers, valleys - none of it mattered to them. There's still one stretch west of the city that continues for 100km with practically no turns.
Imagine there are two trains travelling towards each other at either end of the 100km stretch at 50km/h. Flying back and forth directly between the two trains at 75km/h is a bee that starts on the front of one of the trains when they're 100km apart, and immediately turns around to the other train as soon as it reaches it, and so on. How far will the bee have travelled in this zig zag fashion before the two trains meet?
Puzzle set by Kurt.
Map on back shows Wavelength, Jane Street, Horizon Drive.
Sorry no scan.
Posted: Thu Nov 24, 2005 3:04 pm
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