Answer:
20.243 s
Explanation:
Because the escalator and person moving in the same direction, relative velocity can be calculated by summing the velocity of the escalator and velocity of the person.
The speed of escalator can be calculated as,
[tex]v_{escalator}=\frac{x}{t}=\frac{18.3}{47.8}=0.383\ m/s[/tex]
Relative velocity
[tex]v_{relative}=v_{escalator}+v_{person}\\\\v_{relative}=0.383+0.521=0.904\ m/s\\[/tex]
Therefore total time required to take the person to get to the top
[tex]t=\frac{x}{v_{relative}}= \frac{18.3}{0.904}=20.243\ s[/tex]
