MathDB

A freight train leaves the town of Jenkinsville at

1:00

PM traveling due east at constant speed. Jim, a hobo, sneaks onto the train and falls asleep. At the same time, Julie leaves Jenkinsville on her bicycle, traveling along a straight road in a northeasterly direction (but not due northeast) at

10

miles per hour. At

1:12

PM, Jim rolls over in his sleep and falls from the train onto the side of the tracks. He wakes up and immediately begins walking at

3:5

miles per hour directly towards the road on which Julie is riding. Jim reaches the road at

2:12

PM, just as Julie is riding by. What is the speed of the train in miles per hour?

Problem Statement