document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149544>Question 149544</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109714 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 200 miles<BR>\n" );
document.write( "x speed<BR>\n" );
document.write( "y time\r<BR>\n" );
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document.write( "200/x=y\r<BR>\n" );
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document.write( "200/(x+10)=y-1\r<BR>\n" );
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document.write( "Plug in y in the second equation<BR>\n" );
document.write( "200/(x+10)=200/x-1\r<BR>\n" );
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document.write( "Common denominator on the right side x<BR>\n" );
document.write( "200/(x+10)=200/x-x/x\r<BR>\n" );
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document.write( "Subtract the numerators<BR>\n" );
document.write( "200/(x+10)=(200-x)/x\r<BR>\n" );
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document.write( "Cross multiply<BR>\n" );
document.write( "200x=-x^2+190x+2000\r<BR>\n" );
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document.write( "Subtract 200x from both sides<BR>\n" );
document.write( "0=-x^2-10x+2000\r<BR>\n" );
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document.write( "Take out negative one<BR>\n" );
document.write( "0=-1(x^2+10x-2000)\r<BR>\n" );
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document.write( "Factor<BR>\n" );
document.write( "0=-1(x+50)(x-40)\r<BR>\n" );
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document.write( "Set each equal to zero and solve<BR>\n" );
document.write( "(x+50)=0<BR>\n" );
document.write( "x=-50\r<BR>\n" );
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document.write( "(x-40)=0<BR>\n" );
document.write( "x=40\r<BR>\n" );
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document.write( "Speed can't be negative, so x=40.\r<BR>\n" );
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document.write( "Original speed: 40 mph </SPAN>\n" );
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