Home Physics Motion in a Straight Line Relative Motion A person standing on the escalator takes tim…
Physics Motion in a Straight Line Relative Motion MCQ (Single Correct)

A person standing on the escalator takes time t 1 to reach the top of a tower when the escalator is moving. He takes time t 2 to reach the top of the tower when the escalator is standing. How long will he take if he walks up on a moving escalator?

A
t 2 – t 1
B
t 1 + t 2
C
t 1 t 2 /(t 1 – t 2 )
D
t 1 t 2 /(t 1 + t 2 )

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Text Solution

Verified by Experts
The correct answer is:
D

Let h = height of escalator

v = speed of escalator

u = speed of walking of man

t 3 = time taken to reach tower if man walks up on a moving escalator.

h = vt 1 = ut 2 = (v + u) t 3

⇒ t 3 = ; v = ; u =

∴ t 3 = =

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