From Longman Dictionary of Contemporary Englishhigh-speed chasehigh-speed chasea situation when the police drive very fast to try to catch someone in a car → high-speed
Examples from the Corpus
high-speed chase• The high-speed chase began after police spotted the gang with the stolen vehicles at the M1 Woodhall Services near Sheffield.• They include high-speed chases through densely packed suburban areas, filmed from the air by helicopters.• Monday, during a high-speed chase through the streets of the Baja California state capital. 