document.write( "Question 107013: luoise walked for 2 hours then ran for 1.5 hours if she ran twice as long as she walks and the total trip was 20 miles the how fast did she run?\r
\n" ); document.write( "\n" ); document.write( "I am working on trying to set this up i have x to equal walking spd and 2x for running speed I know the rate is 3.5 hours together woulit be 3.5 = (x + 2x) / 20 ???
\n" ); document.write( "

Algebra.Com's Answer #77890 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
I am working on trying to set this up i have x to equal walking spd and 2x for running speed I know the rate is 3.5 hours together woulit be 3.5 = (x + 2x) / 20 ??? \r
\n" ); document.write( "\n" ); document.write( "AT LEAST YOU ARE GIVING IT A SHOT BUT I THINK YOU ARE TRYING TO MAKE IT HARDER THAN IT REALLY IS. TRY TO FOLLOW MY APPROACH. \r
\n" ); document.write( "\n" ); document.write( "distance(d) equals rate(r) times time(t) or d=rt; r=d/t and t=d/r\r
\n" ); document.write( "\n" ); document.write( "I'm assuming you mean \"-----twice as fast---not twice as long--\"\r
\n" ); document.write( "\n" ); document.write( "AS YOU HAVE DONE, WE'LL LET:
\n" ); document.write( "Let x=walking speed
\n" ); document.write( "Then 2x=running speed\r
\n" ); document.write( "\n" ); document.write( "Distance she walks=x*2 or 2x (rate she walks times time)\r
\n" ); document.write( "\n" ); document.write( "Distance she runs=2x*1.5 or 3x (rate she runs times time)
\n" ); document.write( "Now we know (actually we are told) that the distance she walks plus the distance she runs equals 20 mi, so:\r
\n" ); document.write( "\n" ); document.write( "2x+3x=20 collect like terms
\n" ); document.write( "5x=20 divide both sides by 5
\n" ); document.write( "x=4 mi/hr-----------------------------walking speed
\n" ); document.write( "2x=2*4=8 mi/hr-----------------------------running speed\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "2*4+1.5*8=20
\n" ); document.write( "8+12=20
\n" ); document.write( "20=20\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );