document.write( "Question 726221: rachel drove 780 miles. if she had drove 5 mph faster, the trip would have taken 1 hour less. How fast did she drive? \n" ); document.write( "
Algebra.Com's Answer #444525 by stanbon(75887)\"\" \"About 
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rachel drove 780 miles. if she had drove 5 mph faster, the trip would have taken 1 hour less. How fast did she drive?
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\n" ); document.write( "Slower trip DATA:
\n" ); document.write( "distance = 780 ; rate = r mph ; time = 780/r hours
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\n" ); document.write( "Faster trip DATA:
\n" ); document.write( "distance = 780 ; rate = r+5 mph ; time = 780/(r+5) hours
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\n" ); document.write( "Equation:
\n" ); document.write( "time - time = 1 hour
\n" ); document.write( "780/r - 780/(r+5) = 1 hr
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\n" ); document.write( "780r + 780*5 - 780r = r(r+5)
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\n" ); document.write( "r^2+5r-5*780 = 0
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\n" ); document.write( "r = 60 mph
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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