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Question

An up escalator is going at the rate of 10 step/min. How many steps per min should I move down on it as to look like that I am at rest to a person standing on ground.


Your Answer
A

0 steps

Your Answer
B

20 steps

Correct Answer
C

10 steps

Your Answer
D

5 steps


Solution

The correct option is D

10 steps


So in the same time you have to come down by 10 steps so as to remain at the 5th step. So technically after a minute also your displacement is 0. Hence your velocity = 0, w.r.t. a person on ground.
Also, mathematically

 = Velocity of lift w.r.t to ground = 10 steps/min
 = Vman with respect to ground = 0 as the man's position shouldn't change in time.
Now question asks how much should you move down on a moving lift?
 = Velocity of man w.r.t. lift
 = vmvl       
 = 0 - 10
 = - 10 steps/min
This means man should come down 10 steps per minute on the moving lift.

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