Math CentralQuandaries & Queries


Question from Narcisa, a parent:

Lita and Rose start jogging on a 110 m circular track. They begin at the same point, but jog in opposite directions, lita at 8/3 meters per second and rose at 7/3 m per second. Find the number of times they they will pass each other during the first 15 minutes of jogging?


Try a coordinate change. Suppose one of them stood still; at what speed would the other one have to run for the distance between them to change just as fast?

Good Hunting!

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