document.write( "Question 166009: two cars started from the same place at the same time and traveled in opposite directions. at the end of 6 hours, they were 420 miles apart. if the average rate of the slow car exceeded 1/2 of the average rate of the fast car by 13 mph, find the rate of each car. \n" ); document.write( "
Algebra.Com's Answer #122364 by elima(1433)\"\" \"About 
You can put this solution on YOUR website!
fast car = r
\n" ); document.write( "slow car= 1/2r+13
\n" ); document.write( "d=rt
\n" ); document.write( "420=6(r + 1/2r + 13)
\n" ); document.write( "420 = 6r + 3r + 78
\n" ); document.write( "342=9r
\n" ); document.write( "38=r
\n" ); document.write( "=================
\n" ); document.write( "fast car rate = 38
\n" ); document.write( "slow car rate = 1/2(38)(6)
\n" ); document.write( "slow car = 192
\n" ); document.write( ":)
\n" ); document.write( "
\n" );