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An escalator (moving staircase) of n uniform steps visible at all times descends at constant speed. Two boys, A and Z, walk down the escalator steadily as it moves, A negotiating twice as many escalator steps per minute as Z. A reaches the bottom after taking 27 steps while Z reaches the bottom after taking 18 steps. Then n is:

 

a) 63

b) 54

c) 45

d) 36

e) 30

 

https://artofproblemsolving.com/wiki/index.php/1965_AHSME_Problems

Problem 28

 Jul 7, 2019
 #1
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No "AoPS" questions on this forum!

 Jul 7, 2019
 #2
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this question does not have an answer on AoPS. Can someone please help me, I am stuck.

 Jul 7, 2019
 #3
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the answer was 54 for those who are wondering...

 Jul 12, 2019

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