My wife's new co-worker reported feeling ill on Monday, could not find anywhere to get a test until Wednesday, won't get test results for 5-7 days. This is not a system designed to minimize the spread of the disease.
I don't know whether test results have really slowed down because the system is bogged down, or it is just determined by where you get tested. My daughter was tested 4 times (took a while to get a negative one) and they each came back in under 30 hours.