Q91 / 180 · NEET 2017 · Physics

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t1. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t2. The time taken by her to walk up on the moving escalator will be

  • A
    t1+t22
  • B
    t1t2t2-t1
  • Correct answer
    C
    t1t2t2+t1
  • D
    t1-t2

Solution

Let d be the displacement of the escalator.

Velocity of girl w.r.t. elevator =dt1=vge

Velocity of elevator w.r.t ground veG=dt2

Then velocity of girl w.r.t ground

v→gG= v→ge+v→eG 

i.e., VgG=Vge+VeG

dt=dt1+dt2

1t=1t1+1t2

t=t1 t2t1+t2

Hence, the correct answer is option: 'C'.

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