Friday 19 September 2014

Rabbit Problem Solution


Apologies...  I just realized that I didn't post the solution to the rabbit problem last week.  Here it is:


It takes the rabbit 28 days to climb out of the hole.
 
The first thing to notice is that the act of climbing and sliding can be greatly simplified.  Instead of thinking of going up 3 metres and down 2 metres every day, you can just think about it as going up 1 metre.  So every day the rabbit goes up 1 metre – which should mean that it takes her 30 days to get out, 1 metre each day.  But the reason it does not is that on the day the rabbit actually gets out, she doesn’t slip back down 2 metres.  The rabbit saves itself two days, and it only takes 28 days.