Question 1175599
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Let "d" be this distance.


The "time equation" is


    {{{d/45}}} - {{{d/100}}} = {{{3/4}}}  of an hour  (= 45 minutes).


To solve it, multiply both sides by 900.  You will get


    20d - 9d = 675

      11d    = 675

        d    = {{{675/11}}} = 61.364.


<U>CHECK</U>.   {{{61.364/45 - 61.364/100}}} = 0.75 = {{{3/4}}}  of an hour.  ! Correct !


<U>ANSWER</U>.  The distance is 61.364 km.
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Solved.