Question 1070458
Eastbound cyclist:  {{{r*5}}}

Westbound cyclist:  {{{(r+18)*5}}}

Distance between the cyclists is  given as 180 miles:
{{{5r+5(r+18)=180}}}.



-
{{{5r+5r+90=180}}}

{{{10r=180-90}}}

{{{10r=90}}}

{{{highlight(r=9)}}}-----speed of the eastbound cyclist


{{{r+18=highlight(27)}}}------speed of the westbound cyclist