document.write( "Question 475299: after running for a while at 8mph, Ludwig slowed to a walk at 4mph. If he traveled 68 miles in 12 hours, how far did he run and how far did he walk? \n" ); document.write( "

Algebra.Com's Answer #325906 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = miles that he ran
\n" ); document.write( "Let $\"b\"$ = miles that he walked
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+68+\"$
\n" ); document.write( "(2) $\"+a%2F8+%2B+b%2F4+=+12+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Multiply both sides of (2) by $\"8\"$
\n" ); document.write( "(2) $\"+a+%2B+2b+=+96+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+a+%2B+2b+=+96+\"$
\n" ); document.write( "(1) $\"+-a+-+b+=+-68+\"$
\n" ); document.write( " $\"+b+=+28+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+68+\"$
\n" ); document.write( "(1) $\"+a+%2B+28+=+68+\"$
\n" ); document.write( "(1) $\"+a+=+68+-+28+\"$
\n" ); document.write( "(1) $\"+a+=+40+\"$
\n" ); document.write( "Ludwig ran 40 miles and walked 28 miles
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+a%2F8+%2B+b%2F4+=+12+\"$
\n" ); document.write( "(2) $\"+40%2F8+%2B+28%2F4+=+12+\"$
\n" ); document.write( "(2) $\"+5+%2B+7+=+12+\"$
\n" ); document.write( "(2) $\"+12+=+12+\"$
\n" ); document.write( "OK \n" ); document.write( "

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