Problem:
Cassie leaves Escanaba at AM heading for Marquette on her bike. She bikes at a uniform rate of miles per hour. Brian leaves Marquette at AM heading for Escanaba on his bike. He bikes at a uniform rate of miles per hour. They both bike on the same -mile route between Escanaba and Marquette. At what time in the morning do they meet?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Between and AM Cassie travels miles. At Cassie and Brian are only miles apart. After , because they are both biking towards each other, the distance between them decreases at the rate of miles per hour. At that rate, it will take them hours to meet. So they will meet at AM.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions