document.write( "Question 182633: Jon walked 5 miles to school then ran the same distance home. His speed on the trip home was 5 miles faster than the speed he had walked. If the trip home took 45 minutes less time, what was his walking speed? \n" ); document.write( "
Algebra.Com's Answer #137152 by josmiceli(19441)\"\" \"About 
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Walking to school:
\n" ); document.write( "(1) \"d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D\"
\n" ); document.write( "Running home:
\n" ); document.write( "(2) \"d%5Br%5D+=+r%5Br%5D%2At%5Br%5D\"
\n" ); document.write( "given:
\n" ); document.write( "(3) \"d%5Bw%5D+=+5\" mi
\n" ); document.write( "(4) \"d%5Br%5D+=+5\" mi
\n" ); document.write( "(5) \"t%5Br%5D+=+t%5Bw%5D+-+3%2F4\" hr
\n" ); document.write( "(6) \"r%5Br%5D+=+r%5Bw%5D+%2B+5\" mi/hr
\n" ); document.write( "---------------------------
\n" ); document.write( "Now I can rewrite (1) and (2)
\n" ); document.write( "(1) \"5+=+r%5Bw%5D%2At%5Bw%5D\"
\n" ); document.write( "(2) \"5+=+%28r%5Bw%5D+%2B+5%29%2A%28t%5Bw%5D+-+3%2F4%29\"
\n" ); document.write( "(2) \"5+=+r%5Bw%5D%2At%5Bw%5D+%2B+5t%5Bw%5D+-+%283%2F4%29%2Ar%5Bw%5D+-+15%2F4\"
\n" ); document.write( "(2) \"5+=+5+%2B+5t%5Bw%5D+-+%283%2F4%29%2Ar%5Bw%5D+-+15%2F4\"
\n" ); document.write( "(2) \"0+=+20t%5Bw%5D+-+3r%5Bw%5D+-+15\"
\n" ); document.write( "(2) \"0+=+20t%5Bw%5D+-+3%2A%285%2Ft%5Bw%5D%29+-+15\"
\n" ); document.write( "(2) \"20%2A%28t%5Bw%5D%29%5E2+-+15t%5Bw%5D+-+15+=+0\"
\n" ); document.write( "(2) \"4%2A%28t%5Bw%5D%29%5E2+-+3t%5Bw%5D+-+3+=+0\"
\n" ); document.write( "----------------------------
\n" ); document.write( "For now I'll say \"t%5Bw%5D+=+x\" and use the
\n" ); document.write( "quadratic formula
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+4\"
\n" ); document.write( "\"b+=+-3\"
\n" ); document.write( "\"c+=+-3\"
\n" ); document.write( "\"x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A4%2A%28-3%29+%29%29%2F%282%2A4%29+\"
\n" ); document.write( "\"x+=+%28+3+%2B-+sqrt%28+9+%2B+48+%29%29%2F8+\"
\n" ); document.write( "\"x+=+%28+3+%2B-+sqrt%28+57+%29%29%2F8+\"
\n" ); document.write( "\"x+=+%28+3+%2B-+7.55%29%2F8+\"
\n" ); document.write( "\"x+=+10.55%2F8\"
\n" ); document.write( "\"x+=+1.32\" hr
\n" ); document.write( "(1) \"5+=+r%5Bw%5D%2At%5Bw%5D\"
\n" ); document.write( "(1) \"5+=+1.32%2Ar%5Bw%5D\"
\n" ); document.write( "\"r%5Bw%5D+=+5%2F1.32\"
\n" ); document.write( "\"r%5Bw%5D+=+3.79\" mi/hr
\n" ); document.write( "His walking speed was 3.79 mi/hr
\n" ); document.write( "------------------------------
\n" ); document.write( "check answer
\n" ); document.write( "(6) \"r%5Br%5D+=+r%5Bw%5D+%2B+5\" mi/hr
\n" ); document.write( "\"r%5Br%5D+=+3.79+%2B+5\"
\n" ); document.write( "\"r%5Br%5D+=+8.79\" mi/hr
\n" ); document.write( "(1) \"d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D\"
\n" ); document.write( "\"5+=+3.79%2At%5Bw%5D\"
\n" ); document.write( "\"t%5Bw%5D+=+1.32\" hr
\n" ); document.write( "(5) \"t%5Br%5D+=+t%5Bw%5D+-+3%2F4\" hr
\n" ); document.write( "\"t%5Br%5D+=+1.32+-+.75\"
\n" ); document.write( "\"t%5Br%5D+=+.57\" hr
\n" ); document.write( "---------------------
\n" ); document.write( "(1) \"d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D\"
\n" ); document.write( "\"5+=+3.79%2A1.32\"
\n" ); document.write( "\"5+=+5\"
\n" ); document.write( "(2) \"d%5Br%5D+=+r%5Br%5D%2At%5Br%5D\"
\n" ); document.write( "\"5+=+8.79%2A.57\"
\n" ); document.write( "\"5+=+5.01\" close enough \r
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