document.write( "Question 28741: Rob drives 550 miles home in one hour less than it takes Mary to drive the same route. Rob's average speed is 8 mph faster than Mary's. How fast does each drive.\r
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Algebra.Com's Answer #15680 by Paul(988)\"\" \"About 
You can put this solution on YOUR website!
MAry's speed = x
\n" ); document.write( "Rob's = x+8
\n" ); document.write( "Total milies driven by them both = 550.
\n" ); document.write( "time taken = one hour less = -1 so x+8-x=1\r
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\n" ); document.write( "\n" ); document.write( "Equation:
\n" ); document.write( "\"550%2F%28x%2B8%29-550%2Fx=1\"
\n" ); document.write( "550[(x+8)-(x)]=(x)(x+8)
\n" ); document.write( "\"550%288%29=x%5E2%2B8x\"
\n" ); document.write( "\"4400=x%5E2%2B8x\"
\n" ); document.write( "\"x%5E2%2B8x-4400=0\"
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x=%28-8%2B-sqrt%28%288%5E2%29-4%2A1%2A-4400%29%29%2F%282%2A1%29\"
\n" ); document.write( "simplfy get two solutions.
\n" ); document.write( "Delete the negative answer.
\n" ); document.write( "\"x=4%282sqrt%2869-1%29%29\"
\n" ); document.write( "x=58 (rounded)
\n" ); document.write( "58+8=66\r
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\n" ); document.write( "\n" ); document.write( "Hence, Mary's speed is 58mph and Rob's speed is 66 mph.
\n" ); document.write( "Paul.
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