One driver was recorded at 134mph in a 40mph limit in London, while another was clocked at 115mph on a 40mph road in Greater Manchester.
A crash could put a “huge strain” on other blue light services too, one force said, if it led to injury or staff being exposed to Covid-19 and forced into self-isolation.
Forces said the minority ignored rules.
Supt Julie Ellison, from Greater Manchester Police (GMP)’s specialist operations team, said: “My officers are working tirelessly to track down these offenders who are using the quieter roads as their own personal racetrack.”
Police Scotland also said, over the past Easter period between 10 and 14 April, 16 people were found committing drink or drug-driving offences.
“It is astonishing to see people behave so recklessly, particularly when we all need to be doing our bit to stay at home to protect the NHS and save lives,” said Supt Simon Bradshaw, from Police Scotland’s road policing division.