A hand wash at two places near me are $29 and $31. I always seem to show up when there is a ~30 minute wait. If someone can hand wash my car for the same price with no wait while I'm in the office - I'm in. I'm going to try this next week.
The places near me are $17 and $18 for the basic wash package (hand wash & dry + vacuum + dust + tire shine). Interior dressings will bring it up to about your price, and opting for a wax will probably make it ~$45-50.
The shortest time it's taken is about 15 minutes, and the most is about 45 minutes for the wash + wax, but I try to avoid peak times.
I would do it myself but my apartment complex is rather strict on car stuff.
There could be a previously uncovered niche for washing company-owned cars. Often, employees are sent out to wash the boss's car - which is not exactly cheap, considering what THAT costs.
Isn't having your car washed one of those things where portability matters least? It really feels like the ultra-local meme taken too far.
Car washes are abundant and reasonably fast, and a car, in its usual course of being driven, will pass them often.
It just seems like sunglasses for the blind or something ... a product where its benefit is negated by the nature of the problem.