The group left Alice Springs for what has been described as an "afternoon trek" on Tuesday, 19 November and extensive police air searches last week had failed to find the trio.
The search will resume for two people missing in central Australia for nearly two weeks after their travelling companion was found alive.
"Because of the terrain that they have gone missing in, and because we don't have a particularly focused area, we are still doing the helicopters", she told the Australian Broadcasting Corp.
Vicary says 52-year-old McBeath-Riley found water about 1.5 kilometers (1 mile) north of the auto.
Tamra McBeath-Riley (left) has been found while friends Phu Tran and Claire Hockridge haven't been seen since November 19.
Speaking to reporters outside a hospital in Alice Springs, Ms McBeath-Riley said the group had stayed by the vehicle for around three days in an attempt to free it.
ABC News reports that they remained by the auto for three days - with supplies made up of six litres of water, 10 cans of iced vodka, a packet of biscuits and some beef noodles.
The group walked about 1.5km west, where they found puddles of ground water from unseasonal showers that had fallen over the dry river system in the past fortnight.
HIV rate continues decline to record low in British Columbia: Health Ministry
Waithera asks the crowd, and a sizzle of tension sweeps across the hall, around a dozen people raising their hands. And new HIV infections among children have declined by 72 per cent, from 370 in 2010 to less than 200 past year .
Family of London stab victim warns Johnson against knee-jerk reaction
The event was organised held by Learning Together, a programme associated with Cambridge University's Institute of Criminology. The force has said there is no information to suggest he was involved in the incident at London Bridge.
After US decision, Israel plans new Hebron settlement
The Palestinian Red Crescent has recorded injuries to as many as 77 demonstrators inflicted by Israeli forces responding to the protests.
It is not clear if her dog was found along with her.
When she was rescued, she thought the pair - who had a Global Positioning System and compass with them - would have earlier reached the highway.
McBeath-Riley said she and her companions found a waterhole. That was my immediate thought.
The rescued woman, Tamra McBeath-Riley, 52, survived in the 100-degree-plus heat by boiling and drinking groundwater, the police said.
Rescuers are continuing to look for her two friends, but Police Superintendent Pauline Vicary said only one set of footprints has been found so far.
A cattle rancher played a key role in saving the woman, telling police he had spotted tyre tracks in an area that had not been searched.
"It's quite a diverse terrain".