An escalator is 20 m long. If a person stands on the 'up' side, it takes 50 seconds to ride to the top.

a) If a person walks up the escalator at a speed of 0.5 m/s relative to the escalator, how long wil it take to get to the top?
b) If a person walks down the 'up' side at the same relative speed as in (a), how long will it take to arrive at the bottom?

1 answer

ride speed = 20 m/50 s = .4 m/s
total speed = .4 + .5 = .9

t = d/speed = 20/.9 = 200/9 = 22.2 seconds

part b
speed = .5 - .4 = .1
20/.1 = 200 seconds