Can servers run, if only 1 power supply is powered?

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http://serverfault.com – I have to replace a very old UPS. We've got a new one. I'm not really a sys admin, but have to act the part, as the previous one left and, well there's no one else. He had it set up with 2 UPS's, and split the power supplies from each server (5 total) so that 1 power supply went to 1 UPS, and the other power supply went to the second UPS. We've got the new UPS in place. The former sys admin said that the second UPS would be enough to power the servers, while we put in the new UPS. I just want to double check; will this work? (HowTos)