document.write( "Question 134451: I am looking for help on this textbook example:
\n" ); document.write( "Every morning, Yong Yi runs 5 miles, then walks one mile. He runs 6 mph faster than he walks. If his total time yesterday was 45 minutes, the how fast did he run?
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Algebra.Com's Answer #98358 by josmiceli(19441)\"\" \"About 
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Let \"w\"mi/hr = speed walking
\n" ); document.write( "Then \"w+%2B+6\" = speed running
\n" ); document.write( "His total time for running and walking
\n" ); document.write( "was 45 min or 3/4 hr
\n" ); document.write( "He ran 5 mi
\n" ); document.write( "He walked 1 mi
\n" ); document.write( "In words:
\n" ); document.write( "(distance he ran/speed running) + (distance he walked/speed walking) =
\n" ); document.write( "(total time)
\n" ); document.write( "\"5+%2F+%28w+%2B+6%29+%2B+1+%2F+w+=+3%2F4\"
\n" ); document.write( "multiply both sides by \"w%2A%28w+%2B+6%29\"
\n" ); document.write( "\"5w+%2B+w+%2B+6+=+%283%2F4%29%2Aw%2A%28w+%2B+6%29\"
\n" ); document.write( "Multiply both sides by 4
\n" ); document.write( "\"24w+%2B+24+=+3%2A%28w%5E2+%2B+6w%29\"
\n" ); document.write( "Divide both sides by 3
\n" ); document.write( "\"8w+%2B+8+=+w%5E2+%2B+6w\"
\n" ); document.write( "\"w%5E2+-+2w+-+8+=+0\"
\n" ); document.write( "\"%28w+-+4%29%28w+%2B+2%29+=+0\"
\n" ); document.write( "\"w+=+4\"
\n" ); document.write( "\"w+=+-2\" This answer makes no sense in this problem
\n" ); document.write( "\"w+%2B+6\" = speed running
\n" ); document.write( "\"4+%2B+6+=+10\"
\n" ); document.write( "His speed running was 10 mi/hr
\n" ); document.write( "check answer:
\n" ); document.write( "\"5+%2F+%28w+%2B+6%29+%2B+1+%2F+w+=+3%2F4\"
\n" ); document.write( "\"5+%2F+%284+%2B+6%29+%2B+1+%2F+4+=+3%2F4\"
\n" ); document.write( "\"5%2F10+%2B+1%2F4+=+3%2F4\"
\n" ); document.write( "\"2%2F4+%2B+1%2F4+=+3%2F4\"
\n" ); document.write( "OK
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