Question 1091840
Let {{{ s }}} = the speed of the westbound train
{{{ s + 16 }}} = the speed of the eastbound train
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Add their rates since they are going in opposite directions
{{{ s*5 + ( s+16 )*5 = 850 }}}
{{{ 5*( 2s + 16 ) = 850 }}}
{{{ 2s + 16 = 170 }}}
{{{ 2s = 154 }}}
{{{ s = 77 }}}
and
{{{ s + 16 = 93 }}}
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The rate of the eastbound train is 93 mi/hr
check:
{{{ 5s + 5*( s+16 ) = 850 }}}
{{{ 5*77 + 5*93 = 850 }}}
{{{ 385 + 465 = 850 }}}
{{{ 850 = 850 }}}
OK