In Seattle there are many people who commute across Lake Washington to get to work, where you have the 520 bridge, the I-90 bridge, or you can just drive around

In Seattle there are many people who commute across Lake Washington to get to work, where you have the 520 bridge, the I-90 bridge, or you can just drive around the lake. After reading this article I wonder if it would be effective to divide everyone who makes this commute into two groups. On even numbered days group A can use the bridge while group B must drive around the lake. On odd numbered days they would switch. Could such a scenario effectively reduce the overall time spent commuting for all drivers?