AP EAMCET · PHYSICS · Motion In One Dimension
A person walks up a stalled escalator in 90 s . When standing on the same moving escalator he reached in 60 s . The time it would take him to walk up the moving escalator will be.
- A 36 s
- B 72 s
- C 18 s
- D 27 s
Answer & Solution
Correct Answer
(A) 36 s
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & t_1=\frac{1}{v_m}, t_2=\frac{1}{v_s} \\ & t_3=\frac{1}{v_m+v_s}=\frac{1}{\frac{1}{t_1}+\frac{1}{t_2}}=\frac{t_1 t_2}{t_1+t_2}=\frac{90 \times 60}{90+60}=36 \mathrm{~s}\end{aligned}\)
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