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Jewelle,
This is the only information I can find about travel modes:
Travel modes—ArcGIS Online Help | ArcGIS
From the widgets help
By default, the Route, Geocoder, Travel Modes, and Traffic Layer URLs are from your ArcGIS Online organization or the Utility Services of Portal for ArcGIS. The Travel Modes and Traffic Layer URLs are optional. If you don't specify them, the widget will be functional but you will not see the travel and traffic options when using the widget.
If you want the Directions widget to be publicly accessible, see premium content for public access.