Question 749529
I like to think of one train as standing still
and the other one approaching at the sum of their speeds
from 11 AM to 1 PM is 2 hrs
Let {{{ s }}} = the speed of the slower train
{{{ s + 36 }}} = the speed of the faster train
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{{{ 332 = ( s + s + 36 )*2 }}}
{{{ 332 = ( 2s + 36 )*2 }}}
{{{ 332 = 4s + 72 }}}
{{{ 4s = 260 }}}
{{{ s = 65 }}}
{{{ s + 36 = 101 }}}
The trains were traveling at 65 mi/hr and 101 mi/hr
check:
{{{ 332 = ( 2s + 36 )*2 }}}
{{{ 332 = ( 2*65 + 36 )*2 }}}
{{{ 332 = 166*2 }}}
{{{ 332 = 332 }}}
OK