A woman from Doncaster who slipped and fractured her ankle during a walk above Castleton was carried on a stretcher to an ambulance by members of Buxton and Edale mountain rescue teams.
The casualty fell below the Great Ridge, near Mam Tor, on Saturday afternoon.
Earlier in the week four mountain rescue teams, two search and rescue dogs and a helicopter were called out to search for a number of Duke of Edinburgh Award students missing on Kinder Scout.
Four teenagers from Camberwell, London, were taking part in a gold award expedition when they raised the alarm to say they were cold, wet and unable to continue because of rainfall turning the Kinder Plateau into a bog and making it too difficult for them to cross.
Teams from Kinder, Buxton, Edale, Glossop were deployed to search Kinder Scout and found the casualties in the Crowden Head area.
While approaching the group two members of the Kinder team fell into deep water gullies and had to be rescued themselves.
The students were found to be hypothermic, with the most serious airlifted to hospital in Sheffield.
Ian Hurst, of Buxton Mountain Rescue Team, said: “At about this time a second report was received of another Duke of Edinburgh Award group which were overdue at their campsite.
“Those rescue personnel on the plateau began a fresh search, with others looking at paths and tracks leading from Kinder Scout near to their intended campsite.
“Rescue vehicles patrolled the Snake Road and located them safe and well.”