document.write( "Question 537557: The speed of train A is 20 mph slower than the speed of train B. Train A travels 190 miles in the same time it takes train B to travel 290 miles. Find the speed of each train.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #352901 by fcabanski(1391)\"\" \"About 
You can put this solution on YOUR website!
Call the rate of speed of train B = B.


\n" ); document.write( "Call the rate of speed of train A = B-20


\n" ); document.write( "Do that because the problem said A's rate is 20 mph less than B's.


\n" ); document.write( "D=rt for both, and the t is the same.


\n" ); document.write( "Train A: \"190=%28B-20%29t\"


\n" ); document.write( "Divide both sides by B-20, so


\n" ); document.write( "Train A: \"190%2F%28B-20%29+=+t\"


\n" ); document.write( "Train B: \"290=Bt\"


\n" ); document.write( "Divide both sides by B.


\n" ); document.write( "Train B: \"290%2FB=t\"


\n" ); document.write( "t is the same in both cases, so set the equations equal to each other.


\n" ); document.write( "\"190%2F%28B-20%29+=+290%2FB\"


\n" ); document.write( "Cross multiply.


\n" ); document.write( "\"190B+=+290%28B-20%29+=+290B-5800\"


\n" ); document.write( "Subtract 290B from both sides.


\n" ); document.write( "\"-100B=-5800\"


\n" ); document.write( "Divide both sides by -100.


\n" ); document.write( "\"B+=+58\"


\n" ); document.write( "Train B's rate = B = 58 mph.


\n" ); document.write( "Train A's rate = B-20 = 58-20 = 38mph
\n" ); document.write( "

If you need help understanding math so you can solve these problems yourself, then one on one online tutoring is the answer ($30/hr). If you need faster solutions with guaranteed detailed answers, then go with personal problem solving ($3.50-$5.50 per problem). Contact me at fcabanski@hotmail.com

\n" ); document.write( "

\n" );