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Beetle's meeting up


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#1 BMAD

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Posted 16 December 2013 - 04:19 PM

A high quality rubber band is fastened and hung from a horizontal pole with a cannonball at its end. Two facing ladybugs are crawling along this rubber band toward each other.  From their respective starting positions (8 cm apart), each small beetle crawls toward the other at a speed of 1 cm per second. However, in the length of time each beetle crawls 1 cm, the cannonball, thanks to the force of gravity, stretches the rubber band an additional 8 cm. Will the poor ladybugs ever meet? And, if yes, when? If not, why?!

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#2 harey

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Posted 16 December 2013 - 09:14 PM

Spoiler for

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#3 harey

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Posted 18 December 2013 - 10:57 AM

I think it is a pity that the solution is not posted when nobody finds it. So here we go:

 

Spoiler for Solution number 1

 

Spoiler for Solution number 2

 

Spoiler for Solution number 3

Edited by harey, 18 December 2013 - 10:58 AM.

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#4 bonanova

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Posted 18 December 2013 - 11:59 AM

Spoiler for the top bug

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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