Question 1049517
first friend
speed {{{r}}}
time  {{{1/5}}}
distance {{{r/5}}}

second friend

speed {{{r+1/2}}}
time  {{{1/5}}}
distance {{{1/5}}}*{{{(r+1/2)}}}

given also
{{{11/10}}} distance
the equations are

{{{r/5}}}+{{{1/5}}}*{{{(r+1/2)}}}={{{11/10}}}
{{{r/5}}}+{{{(r/5+1/10)}}}={{{11/10}}}

multiply by {{{10}}} on each side
{{{2r}}}+{{{2r+1}}}={{{11}}}

{{{4r+1}}}={{{11}}}
{{{4r}}}={{{11-1}}}
{{{4r}}}={{{10}}}

{{{r}}}={{{10/4}}}
{{{r}}}={{{5/2}}}
the rate of the first friend is {{{r}}}={{{5/2}}} and the rate of the second firend is {{{r}}}={{{3}}}