62. Escalator. While on one of the escalators in the London Underground, I found that by walking 26 steps, I would reach the platform in $30 \mathrm{s}$. But if I walked 34 steps, the entire descent would take 18 s. How many steps are there on the escalator? Time is measured from the moment the top step begins to descend until I step off the last step onto the platform.
62. If I walk down 26 steps, it will take me 30 seconds to descend, and if 34, it will take -18 seconds. Multiplying 30 by 34 and 26 by 18, we get 1020 and 468, the difference between these numbers is 552. Dividing this by the difference between 30 and 18 (that is, by 12), we get 46, the number of steps on the escalator, which moves at a speed of 1 step per \(1 \frac{1}{2}\) seconds. The speed at which I move on the escalator does not matter, since the step I step off reaches the platform at the same moment regardless of what I did before.