SOLUTION: After taking the Metro to Dupont Circle in Washington, DC, Jess reached street level by walking up the escalator at a brisk rate, taking 42 steps during the trip to the top. Sudd

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Question 1073575: After taking the Metro to Dupont Circle in Washington, DC, Jess reached
street level by walking up the escalator at a brisk rate, taking 42 steps during
the trip to the top. Suddenly curious about the length of the escalator,
Jess returned to the bottom and walked up the same escalator at a
leisurely rate, taking steps one half as often as on the first
trip, taking 24 steps in all. How many steps can be
seen on the visible part of the escalator?
Answer by KMST(5328) (Show Source):
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= the number of escalator steps visible
As Jess was briskly walking up the escalator,
of the originally visible steps disappeared at the top.
On the second trip up the escalator,
steps were eaten up by the top platform.
Since the escalator moves at the same rate all the time,
the first trip took
times as long as the second trip.
If Jess had been walking at the same leisurely pace,
Jess would have taken only steps on the first trip.
That means that the first trip took
as long as the second trip.
So,