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JEE Main2014PhysicsMotion in One DimensionActual

A person climbs up a stalled escalator in 60 ~s . If standing on the same but escalator running with constant velocity he takes 40 ~s . How much time is taken by the person to walk up the moving escalator?

Options

  1. A37 ~s
  2. B27 ~s
  3. C24 ~s
  4. D45 ~s

Correct answer

C. 24 ~s

Step-by-step solution

Person's speed walking only is 1 60 "escalator" second Standing the escalator without walking the speed is 1 40 "escalator" second Walking with the escalator going, the speed add. So, the person's speed is 1 60 + 1 40 = 15 120 "escalator" second So, the time to go up the escalator ("seconds per escalator") is t= 120 5 =24 second

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