document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188346>Question 188346</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534400507/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Charlotte's time to travel 250 miles is 1 hour more than Lorraine's time to travel 180 miles.  Charlotte drove 5 miles per hour faster than Lorraine.  How fast did each one travel.\r<BR>\n" );
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document.write( "thanks,<BR>\n" );
document.write( "I know this problem involves the quadratic equation and I know there will be two different possible scenarios.  I just need help seting up the equation.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141204 by </B><A HREF=/tutors/aboutme.mpl?userid=dukesmart><B>dukesmart(20)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dukesmart><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=141204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x= the  speed of Charlotte travel <BR>\n" );
document.write( "Let y= the  speed of Lorraine  travel<BR>\n" );
document.write( "We can establish equations as follows:\r<BR>\n" );
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document.write( "(250/x) - 1 = 180/y ......(1)\r<BR>\n" );
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document.write( "x - 5     = y ..........(2)\r<BR>\n" );
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document.write( "(1) can be written : (250/x) -1 = 180/(x - 5)\r<BR>\n" );
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document.write( "or               (250 - x)/x = 180/(x-5)<BR>\n" );
document.write( "               (250-x)(x-5)  = 180x<BR>\n" );
document.write( "              250x-1250-x^2+5x = 180x<BR>\n" );
document.write( "             -x^2+250x+5x-180x-1250 = 0<BR>\n" );
document.write( "             x^2-75x+1250 = 0<BR>\n" );
document.write( "x1 =[75+sqrt(75^2-4(1250)]/2= [75+ sqrt(625)]/2= 50<BR>\n" );
document.write( "x2= [75-sqrt(625)]/2=25\r<BR>\n" );
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document.write( "two solutions if x=50 miles/hour then y= 45 miles/hour<BR>\n" );
document.write( "                 x=25 miles /hour then y=20 miles/hour </SPAN>\n" );
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