Question

a person climbs up a stalled escalator in 60s. if standing on the same escalator running with constant velocity he takes 40s. how much time taken by the person to walk up the moving escalator

Answer 1

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Answer 2

Answer: The correct answer is 24 s.

Explanation:

Let the distance traveled be D.

The expression for the distance is as follows;

D= st

Here, s is the speed and t is the time.

Speed of escalator = $\frac{D}{60}$

Speed of person= $\frac{D}{40}$

Calculate the total speed.

Total speed= $\frac{D}{60}$+$\frac{D}{40}$

$Total speed=\frac{D}{24}$

Calculate the time taken by the person to walk up the moving escalator.

$t=\frac{D}{s}$

Put $\frac{D}{24}$.

$t= \frac{D}{\frac{D}{24}}$

$t= \frac{D}{\frac{D}{24}}$

$t= 24 s$

Therefore, the time taken by the person to walk up the moving escalator is 24 s.