An older woman told me recently that she was stopped by a state cop for speeding down the highway and the cop asked her if she knew how fast she was going and she said, "Around 100?" She was actually going around 90 and he let her go with just a warning. Cops like it when you don't lie to them.
Who says you have to lie? You just don't need to incriminate yourself. They're the ones with whom the burden of proof lies upon. They bag hoardes of people at random when the aggregate traffic body is moving above the limit and the truthful response is "as fast as everyone else was" there.