2006 AMC 8 Problems/Problem 13
Cassie leaves Escanaba at 8:30 AM heading for Marquette on her bike. She bikes at a uniform rate of 12 miles per hour. Brian leaves Marquette at 9:00 AM heading for Escanaba on his bike. He bikes at a uniform rate of 16 miles per hour. They both bike on the same 62-mile route between Escanaba and Marquette. At what time in the morning do they meet?
If Cassie leaves an hour earlier then Brian, when Brian starts, the distance between them will be . Every hour, they will get miles closer. , so 2 hours from 9:00 AM is when they meet, which is .