Question 885905
Think of this as one car standing still and the
other moving at the sum of their speeds
Let the speed of the slower car = {{{ s }}} mi/hr
Let the speed of the faster car = {{{ s + 4 }}} mi/hr
---------------------------
{{{ 564 = ( s + s + 4 )*6 }}}
{{{ 564 = 12s + 24 }}}
{{{ 12s = 540 }}}
{{{ s = 45 }}}
{{{ s+ 4 = 49 }}}
--------------
Their speeds are 45 mi/hr and 49 mi/hr
check:
slower car:
{{{ d[1] = 45*6 }}}
{{{ d[1] = 270 }}}
faster car:
{{{ d[2] = 49*6 }}}
{{{ d[2] = 294 }}}
------------------
{{{ d[1] + d[2] = 270 + 294 }}}
{{{ d[1] + d[2] = 564 }}}
OK