document.write( "Question 740115: eric averaged 50 MPH traveling from denevr to minneapolis. Returning by a different route that covered the same number of miles, he averaged 55 mph. what is his distance between the two cities if hid total travel time was 32 hrs?
\n" ); document.write( " going: r=50 t=x
\n" ); document.write( "returning: r=55 t=32-x
\n" ); document.write( "i dont know how to even begin.
\n" ); document.write( "

Algebra.Com's Answer #451507 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
This is the rate*time=distance problem\r
\n" ); document.write( "\n" ); document.write( "we are given\r
\n" ); document.write( "\n" ); document.write( "t1 + t2 = 32\r
\n" ); document.write( "\n" ); document.write( "also\r
\n" ); document.write( "\n" ); document.write( "50t1 = d and\r
\n" ); document.write( "\n" ); document.write( "55t2 = d\r
\n" ); document.write( "\n" ); document.write( "we have 50t1 = 55t2 and\r
\n" ); document.write( "\n" ); document.write( "t1 = 55t2 / 50 \r
\n" ); document.write( "\n" ); document.write( "substitute for t1 in the first equation and we get\r
\n" ); document.write( "\n" ); document.write( "55t2/50 + t2 = 32\r
\n" ); document.write( "\n" ); document.write( "multiply both sides of the = by 50\r
\n" ); document.write( "\n" ); document.write( "55t2 + 50t2 = 1600\r
\n" ); document.write( "\n" ); document.write( "105t2 = 1600 and t2 = 15.2\r
\n" ); document.write( "\n" ); document.write( "distance = 55 * 15.2 = 836 miles\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );