document.write( "Question 204080: Can someone help me solve this problem?\r
\n" ); document.write( "\n" ); document.write( "Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hrs less. Find the speed of his vehicle.
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Algebra.Com's Answer #154013 by RAY100(1637)\"\" \"About 
You can put this solution on YOUR website!
Velocity = distance / Time ,,,,or t= d/v
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\n" ); document.write( "T1 -2 = T2
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\n" ); document.write( "150/v -2 = 150 /(v+20)
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\n" ); document.write( "mult thru by v(v+20)
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\n" ); document.write( "150(v+20) -2(v)(v+20) = 150(v)
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\n" ); document.write( "150v +3000 -2v^2 -40v =150v
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\n" ); document.write( "-2v^2 -40v +3000 = 0
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\n" ); document.write( "v^2 +20v -1500 = 0
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\n" ); document.write( "(v+50)(v-30) = 0
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\n" ); document.write( "v= 30, -50 ( not realistic)
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\n" ); document.write( "150/30=5,,,150/(30+20) =3,,,,ok\r
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