document.write( "Question 764730: Michael was hauling a wide load out of Portland. AT 6:00am he headed north from exit 34 at an average speed of 30mph. Ruth headed north from the same exit at 10:00am in her Pontiac. By 2:00pm the same day Ruth was 16 miles ahead of Micheal. What was Ruth's average speed?\r
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Algebra.Com's Answer #465705 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
What was Michael's head start in miles?
\n" ); document.write( "He had a \"+4+\" hr head start ( 6AM to 10AM )
\n" ); document.write( "\"+d%5B1%5D+=+30%2A4+\"
\n" ); document.write( "\"+d%5B1%5D+=+120+\" miles head start
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\n" ); document.write( "Ruth leaves the same exit and
\n" ); document.write( "\"+4+\" hrs later, ( 10AM to 2PM ), she is \"+16+\" mi
\n" ); document.write( "ahead of michael
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\n" ); document.write( "Let \"+d+\" = distance Ruth travels from 10AM to 2 PM
\n" ); document.write( "\"+d+-+16+\" = distance Michael travels from 10AM to 2 PM
\n" ); document.write( "Let \"+s+\" = Ruth's average speed
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\n" ); document.write( "Ruth's equation:
\n" ); document.write( "(1) \"+d++=+s%2A4+\"
\n" ); document.write( "Michael's equation:
\n" ); document.write( "(2) \"+%28+d+-+16+%29+-+120+=+30%2A4+\"
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\n" ); document.write( "(2) \"+d+-+136+=+120+\"
\n" ); document.write( "(2) \"+d+=+256+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+4s+\"
\n" ); document.write( "(1) \"+256+=+4s+\"
\n" ); document.write( "(1) \"+s+=+64+\"
\n" ); document.write( "Ruth's average speed is 64 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "Michael should go \"+256+-+16+=+240+\" mi
\n" ); document.write( "in \"+4+%2B+4++=+8+\" hrs
\n" ); document.write( "\"+d%5B2%5D+=+30%2A8+\"
\n" ); document.write( "\"+d%5B2%5D+=+240+\" mi
\n" ); document.write( "OK\r
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