document.write( "Question 770404: Monday Roger, goes to work, it takes him 35 minutes. Tuesday he goes to work and he goes 9 mph more than he did Monday and it took him 7 minutes less. how far did he go ? \n" ); document.write( "
Algebra.Com's Answer #469496 by josmiceli(19441)\"\" \"About 
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Let \"+d+\" = the distance to work in miles
\n" ); document.write( "Let \"+s+\" = his speed in mi/hr on Monday
\n" ); document.write( "\"+s+%2B+9+\" = his speed on Tuesday
\n" ); document.write( "------------------------
\n" ); document.write( "Equation for Moday:
\n" ); document.write( "(1) \"+d+=+s%2A%28+35%2F60+%29+\" ( the time is converted to hours )
\n" ); document.write( "Equation for Tuesday:
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+9+%29%2A%28+%28+35+-+7+%29+%2F+60+%29+\"
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+9+%29%2A%28+28%2F60+%29+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+9+%29%2A%28+7%2F15+%29+\"
\n" ); document.write( "(2) \"+15d+=+7s+%2B+63+\"
\n" ); document.write( "(2) \"+15d+-+7s+=+63+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+s%2A%28+7%2F12+%29+\"
\n" ); document.write( "(1) \"+12d+=+7s+\"
\n" ); document.write( "(1) \"+12d+-+7s+=+0+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+15d+-+7s+=+63+\"
\n" ); document.write( "(1) \"+-12d+%2B+7s+=+0+\"
\n" ); document.write( "\"+3d+=+63+\"
\n" ); document.write( "\"+d+=+21+\"
\n" ); document.write( "The distance to work and back is 42 mi
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+s%2A%28+7%2F12+%29+\"
\n" ); document.write( "(1) \"+21+=+s%2A%28+7%2F12+%29+\"
\n" ); document.write( "(1) \"+7s+=+252+\"
\n" ); document.write( "(1) \"+s+=+36+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+15d+-+7s+=+63+\"
\n" ); document.write( "(2) \"+15%2A21+-+7s+=+63+\"
\n" ); document.write( "(2) \"+315+-+7s+=+63+\"
\n" ); document.write( "(2) \"+7s+=+315+-+63+\"
\n" ); document.write( "(2) \"+7s+=+252+\"
\n" ); document.write( "(2) \"+s+=+36+\"
\n" ); document.write( "OK\r
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