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JEE Main 201412 AprilOnline
Exam
JEE Main
Year
2014
Date
12 April
Mode
Online
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2014 · 12 April · Online · Physics · Motion in One Dimension

A person climbs up a stalled escalator in 60 ~s . If standing on...

A person climbs up a stalled escalator in 60 s60 \mathrm{~s}. If standing on the same but escalator running with constant velocity he takes 40 s40 \mathrm{~s}. How much time is taken by the person to walk up the moving escalator?

Options

  1. A37 s37 \mathrm{~s}
  2. B27 s27 \mathrm{~s}
  3. C24 s24 \mathrm{~s}
  4. D45 s45 \mathrm{~s}

Correct answer

C. 24 s24 \mathrm{~s}

Step-by-step solution

Person's speed walking only is 160 "escalator"  second \frac{1}{60} \frac{\text{ "escalator" }}{\text{ second }} Standing the escalator without walking the speed is 140 "escalator"  second \frac{1}{40} \frac{\text{ "escalator" }}{\text{ second }} Walking with the escalator going, the speed add. So, the person's speed is 160+140=15120 "escalator"  second \frac{1}{60}+\frac{1}{40}=\frac{15}{120}\frac{\text{ "escalator" }}{\text{ second }} So, the time to go up the escalator ("seconds per escalator") is t=1205=\frac{120}{5}=24  second \text{ second }
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