tickets_here
Train Schedual
the Teller
2 trains are 100 miles apart traveling towards each other on the same track. Each train travels at 10 miles per hour. A fly leaves the first train heading towards the second train the instant they are 100 miles apart. The fly travels at 30 miles per hour (relative to the ground not relative to the train he left). When the fly reaches the second train, it turns and heads back to the first train at 30 miles per hour (assume that the change in direction takes zero time). when the fly reaches the first train, he turns again. this process continues with the fly zipping back and forth between the trains as they come ever closer, until the two trains collide.
The question: How far does the fly travel until he is crushed? (total distance traveled not displacement from original position)
The more IMPORTANT question:
Why do we care?
