document.write( "Question 175969: 1. The sum of three consecutive odd integers is 27. What are the integers?\r
\n" ); document.write( "\n" ); document.write( "2. On Wednesday, John drove to school in 45 minutes. On Thursday,he had a test at school so he averaged 12 miles per hour more, and it took him 9 minutes less to get to school. How far does he travel to school?
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Algebra.Com's Answer #131086 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Call the smallest integer \"n\"
\n" ); document.write( "The next larger will be \"n+%2B+2\"
\n" ); document.write( "The next larger will be \"n+%2B+4\"
\n" ); document.write( "Given:
\n" ); document.write( "\"n+%2B+n+%2B+2+%2B+n+%2B+4+=+27\"
\n" ); document.write( "\"3n+%2B+6+=+27\"
\n" ); document.write( "\"3n+=+21\"
\n" ); document.write( "\"n+=+7\"
\n" ); document.write( "The integers are 7, 9, and 11
\n" ); document.write( "-------
\n" ); document.write( "\"d+=+r%2At\"
\n" ); document.write( "Given:
\n" ); document.write( "\"t%5B1%5D+=+3%2F4\"hr
\n" ); document.write( "\"t%5B2%5D+=+9%2F60\"hr
\n" ); document.write( "In the 1st case,
\n" ); document.write( "\"d+=+r%2A%283%2F4%29\"
\n" ); document.write( "In the 2nd case,
\n" ); document.write( "\"d+=+%28r+%2B+12%29%2A%283%2F4+-+9%2F60%29\"
\n" ); document.write( "\"d+=+%28r+%2B+12%29%2A%2815%2F20+-+3%2F20%29\"
\n" ); document.write( "\"d+=+%28r+%2B+12%29%2A%283%2F5%29\"
\n" ); document.write( "The distances are the same in each case, so
\n" ); document.write( "\"r%2A%283%2F4%29+=+%28r+%2B+12%29%2A%283%2F5%29\"
\n" ); document.write( "Multiply each sides by \"20\"
\n" ); document.write( "\"15r+=+12%2A%28r+%2B+12%29\"
\n" ); document.write( "\"15r+=+12r+%2B+144\"
\n" ); document.write( "\"3r+=+144\"
\n" ); document.write( "\"r+=+48\" mi/hr
\n" ); document.write( "And, since
\n" ); document.write( "\"d+=+r%2A%283%2F4%29\"
\n" ); document.write( "\"d+=+48%2A%283%2F4%29\"
\n" ); document.write( "\"d+=+36\" mi answer
\n" ); document.write( "check answer:
\n" ); document.write( "\"d+=+%28r+%2B+12%29%2A%283%2F5%29\"
\n" ); document.write( "\"d+=+%2848+%2B+12%29%2A%283%2F5%29\"
\n" ); document.write( "\"d+=+60%2A%283%2F5%29\"
\n" ); document.write( "\"d+=+36\"mi
\n" ); document.write( "OK
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