document.write( "Question 1128196: Hi!\r
\n" ); document.write( "\n" ); document.write( "I'm super confused by this word problem. Here it is:\r
\n" ); document.write( "\n" ); document.write( "A man walks 31 miles, partly at the rate of 2 miles per hour and the rest at the rate of 5 miles per hour. If he had walked at the the rate of 5 miles per hour for the same time as he actually walked at the rate of 2 miles per hour, and vice versa, he would have covered 15 miles more than he did. How long did it take him to walk the 31 miles?\r
\n" ); document.write( "\n" ); document.write( "Thank you very much!
\n" ); document.write( "

Algebra.Com's Answer #744722 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "        SPEED        TIME        DISTANCE\r\n" );
document.write( "\r\n" );
document.write( "        2            x            2x\r\n" );
document.write( "        5            y            5y\r\n" );
document.write( "TOTAL                             31\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        SPEED        TIME        DISTANCE\r\n" );
document.write( "\r\n" );
document.write( "        5            x            5x\r\n" );
document.write( "        2            y            2y\r\n" );
document.write( "TOTAL                             31+15\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%282x%2B5y=31%2C5x%2B2y=46%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%284x%2B10y=62%2C25x%2B10y=230%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%28x=8%2Cand%2Cy=3%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Total time, 11 hours
\n" ); document.write( "
\n" );