A Person Walks Up A Stalled Escalator In 90 Second. When Standing On The Same Escalator, Now Moving He Is Carried Up In 60 Second. How Much Time Would It Take Him To Walk Up The Moving Escalator?

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Question

easy

Correct option is

36 s

Let the length of escalator be L. If v is the velocity if man (relative

to escalator) and V of escalator, then according to given problem

Now if the person walks up on the moving escalator his velocity

relative to the ground will be (V + v). So time taken by him to

move a distance L relative to the ground will be,

which in the light of Eqns. (1) and (2) gives

i.e., the person will take 36 s to walk up to the moving escalator.