Let x be the distance under the question.


It means that he just traveled x miles and 125-x miles left to travel.


From the condition, you have this proportion


     = .


From the proportion


    3x = 2*(125-x),

    3x = 250 - 2x

    3x + 2x = 250

    5x      = 250

     x      = 250/5 = 50.


ANSWER.  The distance Herman have traveled when he stops for lunch is 50 miles.

Distance traveled before stopping for lunch:  

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