Problem:
Cities and are miles apart. Alicia lives in and Beth lives in . Alicia bikes towards at miles per hour. Leaving at the same time, Beth bikes toward at miles per hour. How many miles from City will they be when they meet?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let be the number of hours they ride before meeting. Then . This gives , so they each ride for 1.5 hours. Then Alicia has biked miles, so their meeting point is miles from .
The problems on this page are the property of the MAA's American Mathematics Competitions