document.write( "Question 820558: Me.sheen rode a distance of 12miles out into the country on a bicycle and returned on foot. His rate of the bicycle was 4 times his rate on foot. He spent 5 hours on the entire trip. Find his rate of walking. \n" ); document.write( "

Algebra.Com's Answer #493615 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+r+\"$ = his rate on foot
\n" ); document.write( " $\"+4r+\"$ = his rate on a bicycle
\n" ); document.write( "Let $\"+t+\"$ = his time in hours on foot
\n" ); document.write( "--------------------------------
\n" ); document.write( "Equation for walking:
\n" ); document.write( "(1) $\"+12+=+r%2At+\"$
\n" ); document.write( "Equation for biking:
\n" ); document.write( "(2) $\"+12+=+4r%2A%28+5+-+t+%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "(1) $\"+t+=+12%2Fr+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+12+=+20r+-+4r%2At++\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+12+=+20r+-+4r%2A%2812%2Fr%29++\"$
\n" ); document.write( "(2) $\"+12+=+20r+-+48+\"$
\n" ); document.write( "(2) $\"+20r+=+60+\"$
\n" ); document.write( "(2) $\"+r+=+3+\"$
\n" ); document.write( "His rate of walking was 3 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+12+=+3%2At+\"$
\n" ); document.write( "(1) $\"+t+=+4+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+12+=+4%2A3%2A%28+5+-+t+%29+\"$
\n" ); document.write( "(2) $\"+12+=+12%2A%28+5+-+t+%29+\"$
\n" ); document.write( "(2) $\"+12+=+60+-+12t+\"$
\n" ); document.write( "(2) $\"+12t+=+60+-+12+\"$
\n" ); document.write( "(2) $\"+12t+=+48+\"$
\n" ); document.write( "(2) $\"+t+=+4+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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