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May 26th, 2013, 04:59 AM  #1 
Senior Member Joined: May 2013 Posts: 109 Thanks: 0  Calculate the time
A lizzard has a 100 km distance to cover. If each day he covers half of the distance he covered the day before, how many days does he need to reach his goal, knowing that in the first day he covered 50km?

May 26th, 2013, 12:41 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,759 Thanks: 696  Re: Calculate the time
?. He'll never make it.

May 26th, 2013, 01:39 PM  #3 
Senior Member Joined: Sep 2012 From: British Columbia, Canada Posts: 764 Thanks: 53  Re: Calculate the time
Yes, this is the infinite geometric sequence of which the sum converges to 1. 
May 26th, 2013, 01:47 PM  #4 
Senior Member Joined: Sep 2012 From: British Columbia, Canada Posts: 764 Thanks: 53  Re: Calculate the time 
May 26th, 2013, 08:21 PM  #5 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,414 Thanks: 1024  Re: Calculate the time 
May 27th, 2013, 12:18 PM  #6 
Global Moderator Joined: May 2007 Posts: 6,759 Thanks: 696  Re: Calculate the time
The question is posed in an unusual way. Normally the paradox is resolved because the lizard is assumed to be traveling at a constant speed. This question has the lizard every day going at half the speed of the day before. That's why he'll never get there.


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