document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=303543>Question 303543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jon recently drove to visit his parents who live 225 miles away.  On his way there his average speed was 24 miles per hour faster than on his way home. If Jon spent a total of 10 hours driving, find the two rates. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #217541 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=217541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> LET HIS SPEED ON HIS WAY HOME BE X MPH\r<BR>\n" );
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document.write( "Time taken in the return journey = 225/x\r<BR>\n" );
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document.write( "His speed while going was x+24\r<BR>\n" );
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document.write( "time taken in forward journey  225/ x+24\r<BR>\n" );
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document.write( "225/x + 225 / x+24 = 10 hours\r<BR>\n" );
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document.write( "225(x+24)+225x= 10*x(x+24)\r<BR>\n" );
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document.write( "225x+5400 +225x= 10x^2 +240x\r<BR>\n" );
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document.write( "10x^2-210x-5400=0\r<BR>\n" );
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document.write( "x^2-21x-540=0\r<BR>\n" );
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document.write( "x^2-36x+15x-540=0\r<BR>\n" );
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document.write( "x(x-36)+15(x-36)=0\r<BR>\n" );
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document.write( "(x-36)(x+15)=0\r<BR>\n" );
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document.write( "x= 36 mph on way home\r<BR>\n" );
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document.write( "while going it was 36+24 = 60 mph\r<BR>\n" );
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document.write( "Ananth\r<BR>\n" );
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document.write( " </SPAN>\n" );
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