document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=28932>Question 28932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 150 mile trip is driven at R miles per hour. The same trip would take 2 hours less if you increase the speed by 20 mph. What is R?  I have tried R=150/t<BR>\n" );
document.write( "R=150/t-2  (150/t+2=150/t-2).t(t-1)= 150t-150t+2t2-2t= t2-t-150=0 = (t+2)(t+75)and that is as far as I get because I know that that is not right. <BR>\n" );
document.write( "Thank you for your help. These always put me in a tail spin. Cheryl Vogel    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15806 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=15806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the normal speed be <BR>\n" );
document.write( "If increased by 20 the speed will be x+20<BR>\n" );
document.write( "Subtract the increase speed by the normal speed respect to the distance = time.\r<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2Fx-150%2F%28x%2B20%29=2 ALIGN=MIDDLE  ALT=\"150%2Fx-150%2F%28x%2B20%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%28%28x%29-%28x%2B20%29%29=2%28%28x%29%28x%2B20%29%29 ALIGN=MIDDLE  ALT=\"150%28%28x%29-%28x%2B20%29%29=2%28%28x%29%28x%2B20%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2820%29=2%28x%5E2%2B20x%29 ALIGN=MIDDLE  ALT=\"150%2820%29=2%28x%5E2%2B20x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3000=2x%5E2%2B40x ALIGN=MIDDLE  ALT=\"3000=2x%5E2%2B40x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B40x-3000 ALIGN=MIDDLE  ALT=\"2x%5E2%2B40x-3000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B20x-1500=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B20x-1500=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=1, b=20, c=-1500\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-20%2B-sqrt%2820%5E2-4%2A1%2A-1500%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"x=%28-20%2B-sqrt%2820%5E2-4%2A1%2A-1500%29%29%2F%282%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplfy that and you get 2 solutions:\r<BR>\n" );
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document.write( "x=-50 and x=30\r<BR>\n" );
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document.write( "Remove the negative\r<BR>\n" );
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document.write( "Hence, the normal speed (R) is 30mph.<BR>\n" );
document.write( "Paul.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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