Problem:
Bella begins to walk from her house toward her friend Ella's house. At the same time, Ella begins to ride her bicycle toward Bella's house. They each maintain a constant speed, and Ella rides times as fast as Bella walks. The distance between their houses is miles, which is feet, and Bella covers feet with each step. How many steps will Bella take by the time she meets Ella?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Since for every foot Bella walks, Ella walks feet, we know that Bella will walk of the cumulative distance between the two of them. Therefore, Bella walks:
Since she walks feet per step, the number of steps she takes by the time she meets Ella is:
Thus, is the correct answer.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions