Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2012 AMC 10B Problems/Problem 13

Revision as of 16:41, 26 February 2012 by Jm314 (talk | contribs) (Created page with "== Solution == The same distance is being covered in each of the three scenarios. Let s be the speed of the escalator and c be the speed of Clea. Using d = v t, the first statem...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Solution

The same distance is being covered in each of the three scenarios. Let s be the speed of the escalator and c be the speed of Clea. Using d = v t, the first statement can be translated to the equation d = 60c. The second statement can be translated to d = 24(c+s). Equating and solving for s we find: s = 3c/2. The problem asks for the time it takes her to ride down the escalator. Since t = d/s and d = 60c, we have t = 60c/(3c/2) = 40.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2012_AMC_10B_Problems/Problem_13&oldid=45176"