Question 1152968
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This question "how long did he travel at each rate?" may relate to the distance and/or to the time.


Since it is not precisely determined in the post, I will assume that it relates to times.


Let "t" be the time spent traveling the first part.

Then the time traveling second part is  (4-t) hours.


You have this single equation to find "t"


    58*t + 60*(4-t) = 236  miles   (total distance)


From the equation


    58*t - 60*t = 236 - 60*4

    -2t         = - 4

      t         = {{{(-4)/(-2)}}} = 2.


<U>ANSWER</U>.  2 hours for the first part and 2 hours for the second part.


<U>CHECK</U>.  2*58 + 2*60 = 236 miles.    ! Precisely correct !
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Solved.