Question 723216
In 2 hrs, the freight train gets a head start of
{{{ 60*2 = 120 }}} mi
Let {{{ d }}} = the distance the passenger train has to 
travel to catch the freight train
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Start a stopwatch when the passenger train leaves
Let {{{ t }}} = the time on the stopwatch when they meet
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Equation for freight train:
{{{ d - 120 = 60t }}}
Equation for passenger train:
{{{ d = 100t }}}
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By substitution:
{{{ 100t - 120 = 60t }}}
{{{ 40t = 120 }}}
{{{ t = 3 }}} hrs
and
{{{ d = 100t }}}
{{{ d = 100*3 }}}
{{{ d = 300 }}} mi
They will meet 300 mi from the station
check:
{{{ d - 120 = 60t }}}
{{{ 300 - 120 = 60*3 }}}
{{{ 180 = 180 }}}
OK