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May 26th, 2013, 04:59 AM   #1
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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?
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May 26th, 2013, 12:41 PM   #2
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Re: Calculate the time

?. He'll never make it.
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May 26th, 2013, 01:39 PM   #3
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Re: Calculate the time

Yes, this is the infinite geometric sequence



of which the sum converges to 1.
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May 26th, 2013, 01:47 PM   #4
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Re: Calculate the time

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May 26th, 2013, 08:21 PM   #5
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Re: Calculate the time

http://mathforum.org/library/drmath/view/52507.html
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May 27th, 2013, 12:18 PM   #6
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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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