Question 65618
The runner running west has velocity {{{v[1]}}}km/hr
He runs adistance {{{d[1]}}}km
and meets the other runner after {{{t[1]}}} hours
----------------------------
The runner running east has velocity {{{v[2]}}}km/hr
He runs adistance {{{d[2]}}}km
and meets the other runner after {{{t[2]}}} hours
-----------------------------
Their velocities and therefore, distances are different,
but they each run for the same  amount of time in order
to meet eachother, so,
{{{t[1] = t[2]}}}
------------------------------
{{{t[1] = d[1] / v[1]}}} and
{{{t[2] = d[2] / v[2]}}}, therefore
{{{d[1] / v[1] = d[2] / v[2]}}}
------------------------------
{{{d[1] + d[2] = 11}}} km
If I say {{{d[1]= x}}}, then {{{d[2] = 11 - x}}}
{{{x / 8 = (11 - x) / 9}}}
{{{9x = 88 - 8x}}}
{{{17x = 88}}}
{{{x = 5.1765}}} km
{{{11 - x = 5.8235}}} km
The runner 1 went the shorter distance in the same time
as runner 2, but he still passed the flagpole before
runner 2, and ended up .1765 km on the west side of it.
Runner 2 met him there (6 - 5.8235) km short of the 
flagpole, or .1765 km short.