document.write( "Question 1013083: Charmaine drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
\n" ); document.write( "12
\n" ); document.write( " hours. When Charmaine drove home, there was no traffic and the trip only took
\n" ); document.write( "8
\n" ); document.write( " hours. If her average rate was
\n" ); document.write( "20
\n" ); document.write( " miles per hour faster on the trip home, how far away does Charmaine live from the mountains?
\n" ); document.write( "

Algebra.Com's Answer #629279 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "(rate going) x (time going)=(rate returning) x (time returning)
\n" ); document.write( ".
\n" ); document.write( "Let R=rate going; R+20=rate returning
\n" ); document.write( ".
\n" ); document.write( "(R)(12 hours)=(R+20)(8 hours)
\n" ); document.write( "12R=8R+160
\n" ); document.write( "4R=160
\n" ); document.write( "R=40
\n" ); document.write( "Her rate on the way was 40 mph.
\n" ); document.write( ".
\n" ); document.write( "Distance=Rate x Time
\n" ); document.write( "Distance=(40 mph)(12 hours)=480 miles
\n" ); document.write( ".
\n" ); document.write( "ANSWER: She lives 480 miles from the mountains.
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( "480 miles=(Rate returning) x (Time returning)
\n" ); document.write( "480 miles=(40 mph+20mph)(8 hours)
\n" ); document.write( "480 miles=(60mph)(8 hours)
\n" ); document.write( "480 miles=480 miles
\n" ); document.write( ".
\n" ); document.write( "
\n" ); document.write( "
\n" );