If it's any consolation, the running water is more valuable than the soap. Sadly, time under the running water is a major factor in how much stuff you can dislodge from your hands, so two seconds isn't going to accomplish a lot.
The soap is independently helpful, but it does occur to me to wonder how much of the additional value it brings is due to the automatic requirement to spend more time with your hands in the water, lathering up and rinsing off.
