The vehicle broke down on the route, near the Y Not Festival site, at around 3pm on Tuesday.
A Police Support Volunteers stopped to help by directing traffic.
A man in a Land Rover also stopped to help get them towed away as quickly as possible.
A Derbyshire Constabulary spokesman said: "Was this you or do you know the person who did stop? If so, we'd like to hear from you so that we can say thank you.
"You can contact Police Support Volunteer Donald Goudie by calling 101."