Question 1148307
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Let "d" be one-way distance.


Then from the condition, you have this "speed" equation


    {{{d/0.75}}} - {{{d/0.8}}} = 5  km/h.


Notice that both terms in the left side are the speeds.


To solve the equation, write it in the form


    {{{d/((3/4))}}} - {{{d/((4/5))}}} = 5

    {{{(4d)/3}}} - {{{(5d)/4}}} = 5


Next multiply both sides by  12


     16d - 15d = 60

       d       = 60.


<U>ANSWER</U>.  One way commute distance is 60 kilometers.
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Solved.