Unfortunately electric cars won't solve that problem. The graph on http://www.leiserstrassenverkehr.bayern.de/laerm/entstehung/ (a German government website) compares the engine noise ("Antriebsgeräusch") with the tire noise ("Rollgeräusch") for different speeds ("Gesamtgeräusch" means "total noise"). The yellow line is for trucks, the blue lines for cars.

As you can see at a speed of 40 kph (25 mph) a car's tire noise is already higher than the engine noise and at even higher speed the engine noise doesn't really matter anymore. So even if your electric car engine is absolute silent, the total noise at speeds above 30 mph won't be all that different.