What you describe, a wax and carpet shampoo are what could be called maintenance services performed on a new vehicle or one in good condition.
One person should be able to wax a car in no more than 30 minutes.
One person can complete a carpet shampoo with mats in 30 minutes.
The wash is not included in those times.
A full detail including engine, wheels, wash, trunk clean and shampoo and a complete interior clean and shampoo, 3 step on paint and final detail and inspection 3 to 4 hours depending on condition and size of the vehicle.
Bud Abraham