document.write( "Question 504284: Fran is riding her bike on a 30 mile route. First she rides at a rate of 15 miles per hour. Then she rides at a rate of 6 miles per hour. Her total time is 2.5 hours. Find her distance ridden at 15 miles per hour and her distance ridden at 6 miles per hour \n" ); document.write( "
Algebra.Com's Answer #339556 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
let her ride x miles @ 15mph
\n" ); document.write( "then she will ride 30-x @ 6mph
\n" ); document.write( "...\r
\n" ); document.write( "\n" ); document.write( "Time at 15 mph + time at 6 mph = total time
\n" ); document.write( "t=d/r
\n" ); document.write( "x/15 + (30-x)/6 = 2.5\r
\n" ); document.write( "\n" ); document.write( "LCD =30, Multiply by LCD\r
\n" ); document.write( "\n" ); document.write( "2x+5(30-x)=2.5*30
\n" ); document.write( "2x+150-5x=75
\n" ); document.write( "-3x=-75
\n" ); document.write( "x=25 \r
\n" ); document.write( "\n" ); document.write( "25 miles @15 mph
\n" ); document.write( "5 miles @6 mph
\n" ); document.write( "
\n" );