Police say one of the cars, which was spotted and followed from the Gary area, crashed into another vehicle, which then hit a Lake County, Indiana police squad about 5 a.m. near 91st Street on Chicago's South Side.
The driver, a juvenile, ran from the scene, but was caught a short distance away, police said.
The second stolen vehicle got away.
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An officer involved in the crash was checked out for wrist pain. There were no other reports of injuries, police said.
Several lanes were closed during an investigation.
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