For Nevada, in rare circumstances, the police will let a passenger take your vehicle. However, in most cases, police officers will search your car, tow it to a storage yard, and impound it.
Please note that during a legitimate traffic stop and arrest situation, police officers are legally allowed to search you and your vehicle, whether or not you agree to it. When you are released from custody, you must immediately contact the storage yard to get your vehicle back. You will incur storage fees, so the longer you wait, the higher the fees. Never let your vehicle sit at the storage yard unless the police have placed a hold on the release of the vehicle.