document.write( "Question 1045838: Two trains going in opposite directions leave at the same time. Train B travels 25 mph faster than train A. In 6 hours the trains are 690 miles apart. Find the speed of each. \n" ); document.write( "

Algebra.Com's Answer #661354 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Two trains going in opposite directions leave at the same time. Train B travels 25 mph faster than train A. In 6 hours the trains are 690 miles apart. Find the speed of each.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x be the speed of the train A and y be the speed of the train B.\r\n" );
document.write( "Then\r\n" );
document.write( "\r\n" );
document.write( "(1) b - a = 25,  and\r\n" );
document.write( "(2) b + a =  = 115.\r\n" );
document.write( "\r\n" );
document.write( "One more time:\r\n" );
document.write( "\r\n" );
document.write( "(1) b - a = 25,  and\r\n" );
document.write( "(2) b + a = 115.\r\n" );
document.write( "\r\n" );
document.write( "Add the equations (1) and (2) (both sides). You will get\r\n" );
document.write( "\r\n" );
document.write( "2b = 25 + 115  --->  2b = 140  --->  b =   --->  b = 70.\r\n" );
document.write( "\r\n" );
document.write( "Then a = b - 25 = 70 - 25 = 45.\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The train A speed is 45 mph.  The train B speed is 70 mph.\r\n" );
document.write( "

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

\n" );