document.write( "Question 144570: On this word problem, i guess i need to turn this into a quadratic expression and solve, but i only thought that you solved word problems from linear equations. i have no idea how this is even done. i would try it on my own if i knew where to begin. If someone can get me started i will glady finish it so i can learn. Thank you.\r
\n" ); document.write( "\n" ); document.write( " Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
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Algebra.Com's Answer #105315 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"d=rt\" Start with the distance-rate-time formula\r
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\n" ); document.write( "\n" ); document.write( "\"200=rt\" Plug in \"d=200\"\r
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\n" ); document.write( "\n" ); document.write( "\"200%2Fr=t\" Solve for t\r
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\n" ); document.write( "\n" ); document.write( "Now if \"he gone 10mph faster, the trip would have taken 1 hour less\", this would make the equation: \"200=%28r%2B10%29%28t-1%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"200=%28r%2B10%29%28200%2Fr-1%29\" Plug in \"t=200%2Fr\" \r
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\n" ); document.write( "\n" ); document.write( "\"200=190-r%2B2000%2Fr\" Foil\r
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\n" ); document.write( "\n" ); document.write( "\"200r=190r-r%5E2%2B2000\" Multiply every term by the LCD \"r\"\r
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\n" ); document.write( "\n" ); document.write( "\"0=190r-r%5E2%2B2000-200r\" Subtract 200r from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"0=-r%5E2-10r%2B2000\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"0=-%28r%2B50%29%28r-40%29\" Factor the right side \r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( "\"r%2B50=0\" or \"r-40=0\" \r
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\n" ); document.write( "\n" ); document.write( "\"r=-50\" or \"r=40\" Now solve for r in each case\r
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\n" ); document.write( "\n" ); document.write( "Since you cannot travel at -50 mph, this means that our only answer is \"r=40\"
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