document.write( "Question 901177: Imogene's car traveled 210 mi averaging a certain speer. If the car had gone 5mph faster, the trip would have taken 1 hour less. Find the average speed. \n" ); document.write( "
Algebra.Com's Answer #546510 by stanbon(75887)\"\" \"About 
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Imogene's car traveled 210 mi averaging a certain speer. If the car had gone 5mph faster, the trip would have taken 1 hour less. Find the average speed.
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\n" ); document.write( "Actual DATA:
\n" ); document.write( "distance = 210 miles ; time = x hrs ; rate = d/t = 210/x mph
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\n" ); document.write( "Modified DATA:
\n" ); document.write( "distance = 210 miles ; time = x-1 hrs ; rate = d/t = 210/(x-1) mph
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\n" ); document.write( "Equation:
\n" ); document.write( "210/(x-1) - 210/x = 5 mph
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\n" ); document.write( "210x - 210(x-1) = 5x(x-1)
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\n" ); document.write( "210 = 5x^2 - 5x
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\n" ); document.write( "42 = x^2 - x
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\n" ); document.write( "x^2 - x - 42 = 0
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\n" ); document.write( "Factor::
\n" ); document.write( "(x-7)(x+6) = 0
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\n" ); document.write( "Positive solution::
\n" ); document.write( "Ans:: x = 7 hours
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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