Officers from the Whitby Neighbourhood Policing Team were patrolling the A169 on Sunday (May 3) when they stopped the hungry pair.
Despite having almost made it to their destination, both were sent home and issued fines for breaching coronavirus guidelines.
The 110-mile journey takes around two hours in a car, according to Google.
Whitby Town Police posted on Facebook: "Whilst Whitby would usually welcome visitors to sample our finest fish and chips, due to the current climate this does not constitute reasonable travel.
"Today Whitby Neighbourhood Policing Team were patrolling the A169 and stopped two motorcyclists who had travelled from Rochdale purely for fish and chips.
"Both were sent home and issued fines for breaching co-vid19 guidelines.
"Unfortunately for those motorcyclists we were in the right ‘plaice’ at the right time.
"We will continue to strive to keep our community safe."
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