document.write( "Question 279094: Brittany can run a mile in 6 minutes and Christina can run a mile in 9 minutes. If both Brittany and Christina start running at the same time and Brittany starts 1/3 of a mile behind Christina, how long will it take Brittany to catch up with Christina? I know that Brittany runs at 1/6 miles per minute, Christina runs at 1/9 miles per minute, and distance is rate multiplied by time. \n" ); document.write( "
Algebra.Com's Answer #202989 by richwmiller(17219)\"\" \"About 
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brittany 60/6=10 mph
\n" ); document.write( "christina 60/9=20/3=6 2/3 mph
\n" ); document.write( "60x/6=60x/9+1/3
\n" ); document.write( "rt=rt+d
\n" ); document.write( "10x=20x/3+1/3
\n" ); document.write( "30x=20x+1
\n" ); document.write( "10x=1
\n" ); document.write( "x=1/10=6 minutes\r
\n" ); document.write( "\n" ); document.write( "check
\n" ); document.write( "10*1/10=20/3*1/10+1/3
\n" ); document.write( "1=2/3+1/3
\n" ); document.write( "1=1
\n" ); document.write( "ok
\n" ); document.write( "
\n" );