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# Sweet path

6 replies to this topic

### #1 TimeSpaceLightForce

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Posted 26 January 2014 - 10:29 AM

An ant at A trails the shortest track from A to B
on the sugar cubes structure as shown. Then it
went through the shortest  tunnel from B to A.
How far it travelled to B and  back to A?

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### #2 Perhaps check it again

Perhaps check it again

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Posted 26 January 2014 - 10:03 PM

This problem isn't presented clearly.

1) The shortest track from A to B

ON the sugar cubes might entail

going through the tunnel and ON

the sugar cubes.

2) "Through the shortest tunnel!?"

There is only one tunnel.  That is, there

is only one hole.

If you mean going from A to B *without*

passing through the hole (and be the shortest route),

then you're going to have to state that.

And then if you mean the return trip from

B to A must pass through the hole (and be

the shortest route), then you are going to

have to state that as well.

An ant at A trails the shortest track from A to B

on the sugar cubes structure as shown.  Then it

went through the shortest tunnel from B to A.

How far it travelled to B and back to A?

Edited by Perhaps check it again, 26 January 2014 - 10:11 PM.

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### #3 TimeSpaceLightForce

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Posted 27 January 2014 - 04:13 AM

This problem isn't presented clearly.

1) The shortest track from A to B

ON the sugar cubes might entail

going through the tunnel and ON

the sugar cubes.

2) "Through the shortest tunnel!?"

There is only one tunnel.  That is, there

is only one hole.

If you mean going from A to B *without*

passing through the hole (and be the shortest route),

then you're going to have to state that.

And then if you mean the return trip from

B to A must pass through the hole (and be

the shortest route), then you are going to

have to state that as well.

An ant at A trails the shortest track from A to B

on the sugar cubes structure as shown.  Then it

went through the shortest tunnel from B to A.

How far it travelled to B and back to A?

there are 2 paths "on" surface and "through" tunnel.. the 2X1X1 hole is NOT the tunnel.

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### #4 KMS-Windsor

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Posted 28 January 2014 - 08:54 PM

Does "tunnel" mean the tiny gap between the cubes?  From B, he still need to travel on a surface to get to a gap between 2 cubes.  Is that acceptable?

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### #5 kukupai

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Posted 28 January 2014 - 11:03 PM

Spoiler for I guess...

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### #6 plainglazed

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Posted 29 January 2014 - 05:52 AM

i cant fully visualize this just yet but think the ant can travel ever so slightly shorter than kukupai's answer above

Spoiler for A to B along the outside of the sugar cubes

EDIT:

Spoiler for an added visual aid

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### #7 TimeSpaceLightForce

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Posted 29 January 2014 - 07:38 PM

Well done kukupai & plainglazed...nice illustration!

Edited by TimeSpaceLightForce, 29 January 2014 - 07:39 PM.

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