document.write( "Question 379340: Tessa can ride her bike 24 miles in one hour less than it took Gary to walk 9 miles.Tessa rate is 9 miles per hour faster than Gary rate find Tessa rate? \n" ); document.write( "
Algebra.Com's Answer #269339 by mananth(16946)\"\" \"About 
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Tessa can ride her bike 24 miles in one hour less than it took Gary to walk 9 miles.Tessa rate is 9 miles per hour faster than Gary rate find Tessa rate?
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\n" ); document.write( "let gary's rate be x mph
\n" ); document.write( "tessa's rate = y
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\n" ); document.write( "\n" ); document.write( "y =x+9.............1
\n" ); document.write( "..
\n" ); document.write( "9/x-24/y =1
\n" ); document.write( "plug y = x+9
\n" ); document.write( "9/x-24/(x+9)=1
\n" ); document.write( "(9(x+9)-24x)/x(x+9)=1
\n" ); document.write( "9x+81-24x=x^2+9x
\n" ); document.write( "x^2+24x-81=0
\n" ); document.write( "x^2+27x-3x-81=0
\n" ); document.write( "x(x+27)-3(x+27)=0
\n" ); document.write( "(x+27)(x-3)=0
\n" ); document.write( "x= 3
\n" ); document.write( "gary's rate = 3mph.
\n" ); document.write( "y= x+9
\n" ); document.write( "plug value of x
\n" ); document.write( "y =3+9 = 12 mph. Tessa's rate
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\n" ); document.write( "m.ananth@hotmail.ca
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