Q6 of 26 Page 13

At a metro station, a girl walks up a stationary escalator in time t1 . If she remains stationary on the escalator, then the escalator take her up in time t2. The time taken by her to walk up on the moving escalator will be

Let the height to which the escalator takes the girl be h. Then, the velocity of the girl with respect to the ground = vg= h/t1



The velocity of the escalator with respect to the ground = ve = h/t2


Let the relative velocity of the girl with respect to the escalator while moving up be v.


Then,



v can also be written as h/t where t will be the total time taken by the girl to reach the top while walking on a moving escalator.



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