Question 1151248
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The combined rate of the two trains is 900/5 = 180mph.<br>
So you need two rates with a sum of 180, with one rate 14mph slower than the other.<br>
From here, you can solve the problem with simple algebra:<br>
{{{x + (x-14) = 180}}}
{{{2x-14 = 180}}}
{{{2x = 194}}}
{{{x = 97}}}<br>
The two rates are x=97 mph and x-14 = 83 mph.<br>
If an algebraic solution is not required, here is a quick way to find the two rates with some simple arithmetic.<br>
The sum of the two rates is 180.
If the two rates were the same, they would be 90 and 90.
To get two rates with the same sum but a difference of 14, add 7 to one rate and subtract 7 from the other.<br>
ANSWER:  The two rates are 90+7 = 97mph and 90-7 = 83mph.<br>