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Not long. Commercial-grade angle grinders and/or torches could take out the hinges/latches pretty quickly ... though you're definitely going to lose quite a few welders in the meantime.
Bringing a bunch of ladders might be a better option, though. Just go over the gates/fences instead of through them. And that prevents the gate from being a choke point where they can hold back your superior numbers.
Are we counting our own military in this or are they the ones we are racing against because if thats the case then the amount of time we have is the amount of time for an airstrike to take us all out.