document.write( "Question 44979: Sally can ride her bike 8 mph faster than she can run. She rode her bike for 4 1/2 miles and then ran the other 2 miles. Her total time of running and biking was an hour. How fast was she running and how fast was she biking? \n" ); document.write( "

Algebra.Com's Answer #29810 by Paul(988) $\"\"$ $\"About$

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Biking time = x+8
\n" ); document.write( "Running time = x
\n" ); document.write( "EQUATION:
\n" ); document.write( "4 1/2 -> 9/2 -->4.5
\n" ); document.write( " $\"4.5%2F%28x%2B8%29%2B2%2Fx=1\"$
\n" ); document.write( "Multiply the whole equation by (x)(x+8)and simplfy:
\n" ); document.write( "4.5(x)+2(x+8)=(x)(x+8)
\n" ); document.write( " $\"4.5x%2B2x%2B16=x%5E2%2B8x\"$
\n" ); document.write( " $\"x%5E2%2B1.5x-16=0\"$
\n" ); document.write( "x=3.3 (rounded)
\n" ); document.write( "3.3+8=11.3 (biking speed()
\n" ); document.write( "Paul. \n" ); document.write( "

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