document.write( "Question 1141524: Two passenger trains, A and B 450 km apart, start to move towards each other at the same time and meet after 2 hours. If train B, travels 8/7 as fast as train A. Find the speed of each train. \n" ); document.write( "

Algebra.Com's Answer #762092 by ikleyn(53751) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "From the condition, the speeds of the trains A and B are 7x and 8x kilometers per hour, respectively, \r\n" );
document.write( "\r\n" );
document.write( "where x is the common measure of their speeds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore, for the total distance of 450 kilometers, you can write an equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    2*(7x) + 2*(8x) = 450.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve for x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    14x + 16x = 450,\r\n" );
document.write( "\r\n" );
document.write( "    30x       = 450,\r\n" );
document.write( "\r\n" );
document.write( "      x       =  = 15.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The train A speed is  7*15 = 105 kilometers per hour;  the train B speed is 8*15 = 120 kilometers per hour.\r\n" );
document.write( "

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

\n" );