Question 320421
Rate*Time=Distance
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Let train 1 start at position {{{x=0}}} and move in the positive x direction (East).
Train 1 position:{{{45t}}}
Train 2 starts at position {{{x=255}}} and moves in the negative x direction (West).
Train 2 position: {{{255-60t}}}
Find t when train 1's position equals train 2's position.
{{{45t=255-60t}}}
{{{105t=255}}}
{{{t=255/105=51/21}}}
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Find the position of each train using either equation.
Train 1:{{{45(51/21)=765/7}}}
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The halfway point occurs at {{{x=(0+255)/2=255/2}}}
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The distance from the halfway point to the collision point is 
{{{D=255/2-765/7=1785/14-1530/14}}}
{{{highlight(D=255/14)}}}