Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t 1 . On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t 2 . The time taken by her to walk up on the moving escalator will be

Question

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t 1 . On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t 2 . The time taken by her to walk up on the moving escalator will be, t 1 + t 2 2, t 1 t 2 t 2 - t 1, t 1 t 2 t 2 + t 1, t 1 - t 2

MARKS App · Accepted Answer

Let d be the displacement of the escalator. Velocity of girl w.r.t. elevator = d t 1 = v g e Velocity of elevator w.r.t ground v e G = d t 2 Then velocity of girl w.r.t ground v → g G = v → g e + v → e G i.e., V g G = V g e + V e G d t = d t 1 + d t 2 1 t = 1 t 1 + 1 t 2 t = t 1 t 2 t 1 + t 2

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