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Physics · PYQ NEET UG 2017

हिन्दी

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \( t_1 \). On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \( t_2 \). The time taken by her to walk up on the moving escalator will be:

  1. A
    \( \frac{t_1 + t_2}{2} \)
  2. B
    \( \frac{t_1 t_2}{t_2 - t_1} \)
  3. C
    \( \frac{t_1 t_2}{t_2 + t_1} \)
  4. D
    \( t_1 - t_2 \)
View Answer & Solution

Correct answer · Option C

\( \frac{t_1 t_2}{t_2 + t_1} \)

Explanation

Let distance be \( d \). Person's speed \( v_p = \frac{d}{t_1} \), escalator's speed \( v_e = \frac{d}{t_2} \). Effective speed when both move is \( v = v_p + v_e = d(\frac{1}{t_1} + \frac{1}{t_2}) \). Time \( t = \frac{d}{v} = \frac{t_1 t_2}{t_1 + t_2} \).
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