Question 1148730
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The ratio of the two speeds is 100:80 or 5:4, and the two distances are the same.  That means the ratio of the two times is 4:5.<br>
So let the time going be 4x and the time returning be 5x.  The total time was 9 hours, so<br>
{{{4x+5x = 9}}}
{{{9x = 9}}}
{{{x = 1}}}<br>
The time going was 4x = 4 hours; the time returning was 5x = 5 hours.<br>
So the distance each direction is 4(100) = 5(80) = 400 miles.<br>