Family fares were an early form of what is today called yield management, that is, varying pricing to both maximize revenue and fill all available spaces. I don’t know what railroad pioneered family fares or when they did so, but Burlington’s fares outlined in this 1959 brochure were typical: full fare for dad, half fare for mom and children over 12, a quarter fare for children between 5 and 12, and free for children under 5. Presumably, a mother and children could travel with the mother paying the full fare and children appropriate partial fares.

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Family fares made sense on trains that wouldn’t otherwise fill up. However, if the train was going to be full anyway, family fares would reduce the railroad’s revenue. The Burlington fares tries to guard against this by requiring that families begin their travel on a Monday through Thursday.