Question 514905
Let {{{ t }}} = the time in hours for her to make the
appointment if she drives at 66 km/hr
Let {{{d}}} = the distance to Alton
given:
{{{ d = 66t }}}
Going the same distance in in {{{ 40/60 }}} hrs less time
{{{ d = 90*( t - 2/3 ) }}}
By substitution
{{{ 66t = 90*( t - 2/3 ) }}}
{{{ 66t = 90t - 60 }}}
{{{ 24t = 60 }}}
{{{ t = 2.5 }}}
and
{{{ d = 66t }}}
{{{ d = 66*2.5 }}}
{{{ d = 165 }}}
check answer:
{{{ d = 90*( t - 2/3 ) }}}
{{{ d = 90*( 5/2 - 2/3 ) }}} 
{{{ d = 90*( 15/6 - 4/6 ) }}}
{{{ d = 90*(11/6) }}}
{{{ d = 15*11 }}}
{{{ d = 165 }}}
Alton is 165 km away