Hint to Puzzle #32: Two Creepers Climbing a Tree

32. Two creepers, one jasmine and other rose, are both climbing up and round a cylindrical tree trunk. Jasmine twists clockwise and rose anticlockwise, both start at the same point on the ground. Before they reach the first branch of the tree the jasmine had made 5 complete twists and the rose 3 twists. Not counting the bottom and the top, how many times do they cross?

It was the vertical aspect that confused me. I was trying to think of a time element where the tips of the plants would coexist.

Forget the vertical aspect, it's an illusion. Think of them like hands of a clock moving at different speeds and opposite directions. Working out those speeds is really the key to the solution.

rotation diagram



Where next?
Questions Answer





© Nigel Coldwell 2004 -  – The questions on this site may be reproduced without further permission, I do not claim copyright over them. The answers are mine and may not be reproduced without my expressed prior consent. Please enquire using the link at the top of the page.
 


PayPal
I always think it's arrogant to add a donate button, but it has been requested. If I help you get a job though, you could buy me a pint! - nigel

This Website Uses Cookies

Mostly, but not entirely to remember if you have dismissed this very box. Also to increase the functionality of the site. The cookies I apply do not uniquely identify you, by continuing to use this site you agree to let me place a cookie. I also have advert and analytics providers, for more information click here here.x