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Calculating the number of steps in an escalator

  1. Dec 9, 2005 #1
    There is a escalator and 12 persons move down it. A takes 50 steps and B takes 75 steps while the escalator is moving down.Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps. Find the no.of steps in the escalator while it is stationary
  2. jcsd
  3. Dec 9, 2005 #2
    I think I am correct. Let x be the number of steps covered by A in the given time and let y be the steps escalator sailed. then
    x + y = 50
    3x + y = 75.
    Thus we will get the answer y as to be 37.5
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