Escalator Step Math Problem

This is a great problem.

Escalator step math problem.

In this section we will learn how to solve escalator problems in the topic time distance and speed. Frank walked up the escalator at a speed of 2 steps every second. Sohan started simultaneously from the bottom taking 2 steps to every 1 step taken by rohan. Frank and ronnie embarked on a moving escalator to the second floor of a shopping mall.

The problem is a twist on one of my favorite math contest problems from back when i was in high school problem 10 from the 1987 aime. If the escalator shows 10 steps and goes down in this problem it shows 15 steps and goes down solving for n would give 10 and only the velocity would be negative. Problem 6 rohan walked down a descending escalator and took 40 steps to reach the bottom. Just as they step on the escalator paint the first step red so that you can see how it progresses relative to how they progress.

Today he had some difficulty with a problem about an escalator. The man has walked up 28 steps so the red step is 28 steps behind him. We then drew a diagram of the situation just as the man reaches the top. Here is our solution.

Escalator problems in time distance and speed examples. Then we turn around and run it at the same constant speed in the opposite direction and write down the number of steps b that i climbed. Time taken by rohan to reach the bottom from the top is the same as time taken by sohan to reach the top from the bottom. Here s our discussion of the version of the of the problem in chapter 7 of the aops s introduction to algebra.

In my approach a is the velocity the unit of distance is the step and the unit of time is the time it takes bob to reach the top.