document.write( "Question 678658: Larry's time to travel 208 miles is 1 hour more than Terrell's time to travel 165 miles. Terrell drove 3 miles per hour faster than Larry. How fast did each one travel? \n" ); document.write( "
Algebra.Com's Answer #421575 by stanbon(75887)\"\" \"About 
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Larry's time to travel 208 miles is 1 hour more than Terrell's time to travel 165 miles. Terrell drove 3 miles per hour faster than Larry. How fast did each one travel?
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\n" ); document.write( "Larry DATA:
\n" ); document.write( "distance = 208 miles ; time = x+1 hrs ; rate = d/t = 208/(x+1) mph
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\n" ); document.write( "Terrell DATA:
\n" ); document.write( "distance = 165 miles ; time = x hrs ; rate = d/t = 165/x mph
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\n" ); document.write( "Equation:
\n" ); document.write( "Terrell rate - Larry rate = 3 mph
\n" ); document.write( "165/x - 208/(x+1) = 3
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\n" ); document.write( "165(x+1) - 208x = 3x(x+1)
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\n" ); document.write( "165x + 165 - 208x = 3x^2+ 3x
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\n" ); document.write( "3x^2 + 3x + 43x - 165 = 0
\n" ); document.write( "3x^2 + 46 x - 165 = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 3
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\n" ); document.write( "Terrell rate:: 165/3 = 55 mph
\n" ); document.write( "Larry rate::::208/(4) = 52 mph
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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