document.write( "Question 1016904: Sharon Kobrin commutes to her office by train.When she walks to the train station,it takes her 40 min.When she rides her bike,it takes her 12 min.Her average walking rate is 7 mph less than her average biking rate.Find the distance from her house to the train station. \n" ); document.write( "

Algebra.Com's Answer #633270 by josmiceli(19441) $\"\"$ $\"About$

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Convert all minutes to hours
\n" ); document.write( " $\"+40%2F60+=+2%2F3+\"$ hrs
\n" ); document.write( " $\"+12%2F60+=+1%2F5+\"$ hrs
\n" ); document.write( "Let $\"+r+\"$ = her average biking rate
\n" ); document.write( "Let $\"+d+\"$ = distance in miles to train station
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Equation for walking:
\n" ); document.write( "(1) $\"+d+=+%28+r-7+%29%2A%282%2F3%29+\"$
\n" ); document.write( "Equation for biking:
\n" ); document.write( "(2) $\"+d+=+r%2A%281%2F5%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+%28+r-7+%29%2A%282%2F3%29+=+r%2A%281%2F5%29+\"$
\n" ); document.write( "Multiply both sides by $\"+15+\"$
\n" ); document.write( " $\"++10%2A%28+r+-+7+%29+=+3r+\"$
\n" ); document.write( " $\"+10r+-+70+=+3r+\"$
\n" ); document.write( " $\"+7r+=+70+\"$
\n" ); document.write( " $\"+r+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+r+-+7+=+3+\"$
\n" ); document.write( "---------------
\n" ); document.write( "(2) $\"+d+=+r%2A%281%2F5%29+\"$
\n" ); document.write( "(2) $\"+d+=10%2A%281%2F5%29+\"$
\n" ); document.write( "(2) $\"+d+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+%28+r-7+%29%2A%282%2F3%29+\"$
\n" ); document.write( "(1) $\"+d+=3%2A%282%2F3%29+\"$
\n" ); document.write( "(1) $\"+d+=+2+\"$
\n" ); document.write( "The distance to the train station is 2 mi \n" ); document.write( "

\n" );