document.write( "Question 762232: Manuel traveled 8 hours nonstop to Mexico, a total of 413 miles. He took a train part of the way, which averaged 60 mph, and then took a bus the remaining distance, which averaged 50 mph. How long was Manuel on the train? \n" ); document.write( "
Algebra.Com's Answer #463782 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! Let x=time on train \n" ); document.write( "Let y=time on bus\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Vehicle________rate__________time__________distance \n" ); document.write( "Train__________60____________x_____________60x \n" ); document.write( "Bus____________50____________y_____________50y \n" ); document.write( "Total________________________8_____________413\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "System to solve: \n" ); document.write( "{60x+50y=413} \n" ); document.write( "and \n" ); document.write( "{x+y=8}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Best approach is multiply the second equation by 50 and subtract it all from the first equation to solve for x.... \n" ); document.write( " |