The two cases happened in the early hours Cambridge Road and Burnaby Road.
Special Traffic Courts For Speeding Drivers
Hampshire's among nine areas which have been trying out special 'traffic courts'.
They'll deal with traffic-light jumpers and speeding motorists in a bid to free up time for more serious cases, the Government said today.
About half a million motoring cases are heard in magistrates' courts every year and can often take longer to progress than major offences, the Ministry of Justice said.
Ministers want to set up traffic courts to reduce delays as part of a wider plan to improve Britain's criminal justice system.
Justice Minister Damian Green said:
"Enforcing traffic laws is hugely important for road safety and saving lives.
"However, these cases take nearly six months on average from offence to completion, despite the fact that over 90% of cases result in a guilty plea or are proved in absence - this is simply unacceptable.
"The justice system must respond more quickly and effectively to the needs of victims, witnesses and local communities, and these dedicated courts will enable magistrates to better organise their work and drive greater efficiency."
The Government is discussing with the judiciary, who are responsible for managing cases in the courts, how the traffic courts can be delivered across the country
Chief Constable Chris Eyre, the Association of Chief Police Officers (Acpo) lead on criminal justice, said:
"We have implemented this new procedure to traffic cases with great success in nine police forces - radically simplifying and speeding up the process.
"This is only implemented when there is a guilty plea or where the case against a defendant is not contested.
"Effective first hearings have significantly reduced the amount of adjournments and a single court can deal with up to 160 cases a day."
The other areas which have trialled the new traffic courts are Essex, Kent, Lincolnshire, Metropolitan Police, Nottinghamshire, Norfolk, Suffolk and West Yorkshire.
Lewis Hine - who has a brain tumour - posted an inspirational film about his life, on his 16th birthday last week.
One of the men's targets was Ernest Jones in Portsmouth, taking £57,000 worth of watches.
Detectives Searching For Dash Cam Footage Around Gilpin Close.
Recently Played Tracks
Now playing: Non-stop hit music
Deposit £10 to get a £40 Welcome Bonus - That's £50 to play bingo, slots and more!*
Over 50 tracks to make you feel-good. New album out now...
Find your local four day weather report here.
What's happening on the roads where you are?
Make Heart the soundtrack to your day and you could be a winner with great prizes up for grabs throughout the day.
Find out more about some of the companies advertising on Heart.
Get some great ideas on how to advertise your business on radio, online and on mobile.