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Topic: The Escalator Problem (Read 870 times) |
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Rahul
Newbie
Posts: 1
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The Escalator Problem
« on: Jun 3rd, 2006, 12:05am » |
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If I walk down 26 steps on an escalator I require 30s to reach the bottom.
However, if I walk down 34 steps I require only 18s to reach the bottom.
If time is measured from the moment the top step
begins to descend to the time I step off the last
step at the bottom, What is the height of stairway
in steps?
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JocK
Uberpuzzler
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Posts: 877
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Re: The Escalator Problem
« Reply #1 on: Jun 3rd, 2006, 3:49am » |
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26 steps --> 30 s
34 steps --> 18 s
each 2 steps more --> 3 s less time
46 steps --> 0 s
The height is 46 steps.
And it is pretty slow:
0 steps --> 69 s ...
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| « Last Edit: Jun 3rd, 2006, 3:52am by JocK » |
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solving abstract problems is like sex: it may occasionally have some practical use, but that is not why we do it.
xy - y = x5 - y4 - y3 = 20; x>0, y>0.
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