document.write( "Question 1110941: Melanie’s family drove for 5 hours on the main highway and 3 hours on a smaller highway, and traveled a total of 456 miles. Their average speed was 8 miles per hour faster on the main highway than on the smaller highway. What was their average speed on the smaller highway?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #725947 by ikleyn(52777) $\"\"$ $\"About$

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

\r\n" );
document.write( "Let r be the rate of moving at the slower highway, in mph\r\n" );
document.write( "\r\n" );
document.write( "Then the rate on the faster highway is (r+8) mph.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total distance traveled equation is\r\n" );
document.write( "\r\n" );
document.write( "5*(r+8) + 3r = 456   miles.\r\n" );
document.write( "\r\n" );
document.write( "5r + 40 + 3r = 456\r\n" );
document.write( "\r\n" );
document.write( "8r = 456 - 40 = 416\r\n" );
document.write( "\r\n" );
document.write( "r =  = 52.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  52 mph at the slower highway and 52+8 = 60 mph at the faster highway.\r\n" );
document.write( "

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

\n" );