document.write( "Question 921857: Jim drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Jim drove home, there was no traffic and the trip only took 8 hours. If his average rate was 20 miles per hour faster on the trip home, how far away does Jim live from the mountains? \n" ); document.write( "
Algebra.Com's Answer #559269 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Jim drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours.
\n" ); document.write( " When Jim drove home, there was no traffic and the trip only took 8 hours.
\n" ); document.write( " If his average rate was 20 miles per hour faster on the trip home, how far away does Jim live from the mountains?
\n" ); document.write( ":
\n" ); document.write( "let s = his speed in traffic
\n" ); document.write( "then
\n" ); document.write( "(s+20) = his speed coming home
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation; dist = time * speed
\n" ); document.write( "the dist there and back was the same, therefore
\n" ); document.write( "12s = 8(s+20)
\n" ); document.write( "12s = 8s + 160
\n" ); document.write( "12s - 8s = 160
\n" ); document.write( "4s = 160
\n" ); document.write( "s = 160/4
\n" ); document.write( "s = 40 mph in traffic
\n" ); document.write( "\"how far away does Jim live from the mountains?\"
\n" ); document.write( "12 * 40 = 480 mi
\n" ); document.write( "Check it by finding the distance when he drove 20 mph faster
\n" ); document.write( "8 * 60 = 480 mi \n" ); document.write( "
\n" );