Math CentralQuandaries & Queries


Question from Carmi:

how many times will lita and rose pass each other in 15 minutes if lita and rose start jogging on a 110 meters circular track. they begin at the same point but in opposite direction. lita at 8/3 meters per second and rose at 7/3 meters per second.

Hi Carmi,

The track has a circumference of 110 meters and when they are both at the start position, facing in opposite directions, the distance between them is 110 meters. After they start to run Lita is at position $L$ in my diagram and Rose is at position $R.$


How fast is the distance between them decreasing? How long will it take for the distance between them to decease from 110 to 0 meters?


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