A person standing on an escalator takes time t1 to reach the top of a tower when the escalator is moving. He takes time t2 to reach the top of the tower when the escalator is standing. How long will he take if he walks up to a moving escalator?
Let distance to be travelled = d and time taken by the person on the moving escalator = ![]()
So, the speed of the escalator is given by:
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As ![]()
Now, let the time taken by the person climbing a standing elevator = ![]()
So, ![]()
Now, when both the escalator and the person moves, then the speed is given by:
![]()
![]()
Also, the time taken to reach the top = ![]()
= ![]()
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