Rescue workers discovered her in the wreckage of a two-storey building in the town of Suzu.

The 7.5-magnitude earthquake struck the Japan Sea coast on Monday, flattening towns on the remote Noto peninsula.

More than 120 people have been confirmed dead, and 200 are missing.

According to the newspaper Yomiuri Shimbun, 100 rescuers were sent to the town of Suzu after learning that two women were buried alive.

Citing local police sources, the newspaper reported that the elderly woman was responsive, but believed to be suffering from hypothermia.

At the same site, rescuers also found a woman in her 40s in a state of cardiopulmonary arrest, reports said.

The first 72 hours of a rescue operation are considered critical because after that, the chances of finding people alive drops substantially. The two women were found days after that window closed.

Japan's Self-Defense Forces are using helicopters for rescue operations and deliver supplies to isolated areas, as several roads remain blocked.

According to public broadcaster NHK, rescue efforts could be hampered by wet weather forecasted for Sunday in some quake-hit areas, with authorities warning that even a small amount of rain could trigger more landslides.

They also warned that a cold front is expected on Sunday, which could bring snowfall through Monday in mountainous areas of the quake-hit Ishikawa prefecture.

More than 30,000 people are being housed in government shelters.

As of Saturday, around 23,200 households were without electricity in Ishikawa and more than 66,400 lacked running water.

Ishikawa's governor Hiroshi Hase said during a disaster management meeting that the prefecture was facing "extremely severe situations".

He also warned that restoring running water would take a long time "as many water pipes have cracks".

Some hospitals and facilities for taking care of elderly and disabled people have also lost power and water.

Japan is one of the most seismically active countries in the world, and activity has been increasing around Noto since the end of 2020. More than 500 small and medium earthquakes have hit there over the past three years.

By Vicky Wong
BBC News