The contact owns a 2007 Toyota Rav4. The contact stated that after shifting into reverse, the brake pedal was fully depressed; however, the vehicle failed to stop as needed and remained reversing slowly. The contact frantically turned off the vehicle to avoid crashing into the vehicle behind. There were no warning lights illuminated. The local dealer was contacted; however, the vehicle was not diagnosed or repaired. The manufacturer was notified of the failure. The approximate failure mileage was 93,000.