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

Question

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

Infinity Learn · Accepted Answer

Let $$v1is$$ the velocity of Preeti on stationary escalator and d is the distance travelled by her∴ $$v1=dt1$$ Again, let $$v2$$ is the velocity of escalator ∴ $$v2=dt2$$∴Net velocity of Preeti on moving escalator with respect to the $$groundv=v1+v2=dt1+dt2=dt1+t2t1t2The$$ time taken by her to walk up on the moving escalator will $$bet=dv=ddt1+t2t1t2=t1t2t1+t2$$

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