document.write( "Question 973734: a woman cycles 8 mi/h faster than she runs.every morning she cycles 4mi and run 2and1/2 mi for a total of a one hour workout. how fast does she run \n" ); document.write( "
Algebra.Com's Answer #595809 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
a woman cycles 8 mi/h faster than she runs.every morning she cycles 4mi and run 2and1/2 mi for a total of a one hour workout. how fast does she run.
\n" ); document.write( "***
\n" ); document.write( "let x=running speed
\n" ); document.write( "x+8=cycling speed
\n" ); document.write( "Travel time=distance/speed
\n" ); document.write( "\"%285%2F2%29%2Fx%2B4%2F%28x%2B8%29=1\"
\n" ); document.write( "lcd:x(x+8)
\n" ); document.write( "\"%285%2F2%29%28x%2B8%29%2B4x=x%5E2%2B8x\"
\n" ); document.write( "(mult. by 2)
\n" ); document.write( "\"%285x%2B40%29%2B8x=2x%5E2%2B16x\"
\n" ); document.write( "2x^2+3x-40=0
\n" ); document.write( "solve for x by quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=2, b=3, c=-40
\n" ); document.write( "ans: x≈3.78
\n" ); document.write( "how fast does she run? 3.78 mph
\n" ); document.write( "
\n" );