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A person walks up a stalled 15 m long es...

A person walks up a stalled 15 m long escalator in 90 s. When standing on the same escalator, now moving, the person is carried up in 60 s. How much time would it take that person to walk up the moving escalator? Does the answer depend on the length of the escalator?

Text Solution

Verified by Experts

The correct Answer is:
C

`v_1`=speed of persion
`v_2`=speed pf escalator
`v_1=l/(t_1)` and `v_2=l/(t_2)`
`:. t=l/(v_1+v_2)=l/((l/t_1)+(l/t_2))`
`=(t_1t_2)/(t_1+t_2)=(90xx60)/(90+60)=36s`
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Knowledge Check

  • A person walks up a stalled escalator in 90 s. When standingon the same escalator, now moving, he is carried in 60 s.The time it would take him to walk up the moving escalator will be:

    A
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    B
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    D
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    B
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    B
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    D
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