document.write( "Question 975101: Tanya starts for school walking an average rate of 120 feet per minute. She realizes she forgot her lunch turns around and jogs back to house at 360 feet per minute. It took 10 minutes to go and come home. How far did she walk before she turned around? \n" ); document.write( "

Algebra.Com's Answer #596917 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = her one-way distance walking
\n" ); document.write( "Let $\"+t+\"$ = her time in minutes walking from her house
\n" ); document.write( " $\"+10+-+t+\"$ = her time in minutes walking back to house
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) $\"+d+=+120t+\"$
\n" ); document.write( "(2) $\"+d+=+360%2A%28+10+-+t+%29+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+120t+=+360%2A%28+10+-+t+%29+\"$
\n" ); document.write( "(2) $\"+120t+=+3600+-+360t+\"$
\n" ); document.write( "(2) $\"+480t+=+3600+\"$
\n" ); document.write( "(2) $\"+t+=+7.5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+120%2A7.5+\"$
\n" ); document.write( "(1) $\"+d+=+900+\"$
\n" ); document.write( "She walked 900 ft before turning around
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+360%2A%28+10+-+t+%29+\"$
\n" ); document.write( "(2) $\"+900+=+360%2A%28+10+-+7.5+%29+\"$
\n" ); document.write( "(2) $\"+900+=+3600+-+2700+\"$
\n" ); document.write( "(2) $\"+900+=+900+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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