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Walking down an escalator (Posted on 2006-03-29) Difficulty: 3 of 5
On a working escalator, one man walking down it took 50 steps. Another man, walking three times faster, took 75 steps.

How many steps would each man take going down the same escalator during a power outage?

No Solution Yet Submitted by Jer    
Rating: 3.3333 (3 votes)

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Solution Problem Solution Comment 10 of 10 |

Let the total number of steps in the excalator be x.

Then, by the problem the slower man will cover (x-50) steps in
precisely thrice  the time it will take  the faster man to take x-75 steps.

Thus, (x-50) = 3(x-75), giving: x = 87.5 

Hence each man must take precisely 87.5 steps during a power outage.

Edited on April 25, 2007, 1:54 am
  Posted by K Sengupta on 2007-04-25 01:46:16

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