document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201093>Question 201093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You drive to houston and back in 8 hours. Suppose your returning speed is 10mph slower than your going speed and that the total trip is 300 miles. What was your speed going to houston? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151351 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=151351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You drive to houston and back in 8 hours. Suppose your returning speed is 10mph slower than your going speed and that the total trip is 300 miles. What was your speed going to houston?<BR>\n" );
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document.write( "Note: Distance to Houston must be 150 miles<BR>\n" );
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document.write( "To-Houston DATA:<BR>\n" );
document.write( "distance = 150 mi ; rate = x mph ; time = 150/x hrs<BR>\n" );
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document.write( "From-Houston DATA:<BR>\n" );
document.write( "distance = 150 mi ; rate = x-10mph ; time = 150/(x-10)<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time + time = 8 hrs.<BR>\n" );
document.write( "150/x + 150/(x-10) = 8<BR>\n" );
document.write( "150(x-10) + 150x = 8x(x-10)<BR>\n" );
document.write( "300x - 1500 = 8x^2 -80x<BR>\n" );
document.write( "8x^2 -380x + 1500 = 0<BR>\n" );
document.write( "2x^2 - 95x + 375 = 0<BR>\n" );
document.write( "x = [95 +- sqrt(95^2 - 4*2*375)]/4<BR>\n" );
document.write( "x = 43.155 mph (rate to-Houston)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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