Modern fire control versus World War II destroyers

How would a modern destroyer armed only with guns and torpedoes fare against World War II destroyers?

Radar-directed long-range fire would be overwhelming at first, but the number defeated would ultimately be limited by the modern ship's magazine.

Radar would let a modern destroyer fire accurately at long range against Second World War opponents. Its staying power would depend on ammunition expenditure and the number of hits needed to disable each target. An illustrative allowance of 200 five-inch shells and five hits per destroyer gives roughly forty targets. Once those shells run out, the modern ship loses the advantage assumed in this guns-and-torpedoes scenario.