Escalator Step Math Problem

Frank and ronnie embarked on a moving escalator to the second floor of a shopping mall.

Escalator step math problem.

This is a great problem. If a 24 and b 264 how many steps are visible at any one time on the escalator. 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. 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.

Today he had some difficulty with a problem about an escalator. I run up the escalator at a constant speed in the direction of the stairs and write down the number of steps a we climbed. 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. 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.

Sohan started simultaneously from the bottom taking 2 steps to every 1 step taken by rohan. Problem 6 rohan walked down a descending escalator and took 40 steps to reach the bottom. We then drew a diagram of the situation just as the man reaches the top. 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.

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 is our solution. In this section we will learn how to solve escalator problems in the topic time distance and speed. And i ll end with a bit of nit picking.

Here s our discussion of the version of the of the problem in chapter 7 of the aops s introduction to algebra.