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A man in his 20s handed himself into Medway Police Station and was arrested in connection with a robbery in Strood.
Kent Police launched a CCTV appeal on November 2 after the incident on September 22.
The robbery is reported to have happened between 8pm and 8.30pm.
The victim was approached outside a bus stop in Strood High Street and offered a lift home.
Both men walked to Aldi car park, entered a car and drove to Borstal Road.
The suspect stopped the vehicle and allegedly threatened the victim with a knife and demanded a quantity of cash before leaving the car.
The arrested man has been released under investigation pending further enquiries.
Anyone with information about the incident can call the Kent Police appeal line on 01634 792209 quoting reference number XY/48508/17.
Alternatively, contact Kent Crimestoppers anonymously on 0800 555111.