document.write( "Question 997170: A women can bicycle 22 miles in the same time as it takes her to walk 8 miles. She can ride 7mph faster than she can walk. How fast can she walk \n" ); document.write( "

Algebra.Com's Answer #615390 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+s+\"$ = her speed walking in mi/hr
\n" ); document.write( " $\"+s+%2B+7+\"$ = her speed biking in mi/hr
\n" ); document.write( "Let $\"+t+\"$ = her time either biking or walking in hrs
\n" ); document.write( "---------------------
\n" ); document.write( "Equation for biking:
\n" ); document.write( "(1) $\"+22+=+%28+s+%2B+7+%29%2At+\"$
\n" ); document.write( "Equation for walking:
\n" ); document.write( "(2) $\"+8+=+s%2At+\"$
\n" ); document.write( "--------------
\n" ); document.write( "(2) $\"+t+=+8%2Fs+\"$
\n" ); document.write( "Substitute (1) ionto (2)
\n" ); document.write( "(1) $\"+22+=+%28+s+%2B+7+%29%2A%288%2Fs%29+\"$
\n" ); document.write( "(1) $\"+22+=+8+%2B+56%2Fs+\"$
\n" ); document.write( "(1) $\"+14+=+56%2Fs+\"$
\n" ); document.write( "(1) $\"+s+=+56%2F14+\"$
\n" ); document.write( "(1) $\"+s+=+4+\"$
\n" ); document.write( "She can walk 4 mi/hr
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+t+=+8%2Fs+\"$
\n" ); document.write( "(2) $\"+t+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+22+=+%28+s+%2B+7+%29%2At+\"$
\n" ); document.write( "(1) $\"+22+=+%28+4+%2B+7+%29%2At+\"$
\n" ); document.write( "(1) $\"+22+=+11t+\"$
\n" ); document.write( "(1) $\"+t+=+2+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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