Question 1156499

Train A has a speed 25 miles per hour greater than that of train B. If train A travels 240 miles in the same times train B travels 165 miles, what are the speeds of the two trains?
<pre>Let the speed of the faster train be S
Then speed of the slower train = S - 25
We then get the following TIME equation: {{{matrix(1,3, 240/S, "=", 165/(S - 25))}}}
{{{matrix(1,3, 16/S, "=", 11/(S - 25))}}} ------- Factoring out GCF, 15, in numerator
16(S - 25) = 11S ----- Cross-multiplying
16S - 16(25) = 11S
5S = 16(25)
Speed of faster train, or {{{highlight_green(matrix(1,6, S, "=", 16(25)/5, "=", 80, mph))}}}
Now, subtract 25 from the above to get speed of the slower train!