document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=719546>Question 719546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a train crosses a highway travelling North at 60mph. One hour later, a car travelling East at 45 miles per hour on the highway crosses the train track. To the nearest 0.1 hour, after how long will the train and car be 100 miles apart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441372 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=441372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> train has traveled 60 when the car is crossing the track\r<BR>\n" );
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document.write( "After x hours car will be at a distance of 45x miles\r<BR>\n" );
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document.write( "The train will be at a distance of 60x+60 .\r<BR>\n" );
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document.write( "they are at right angles with respect to the intersection\r<BR>\n" );
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document.write( "(60x+60)^2+(45x)^2=100^2\r<BR>\n" );
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document.write( "3600x^2+7200x+3600+2025x^2=10000\r<BR>\n" );
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document.write( "5625x^2+7200x-6400=0\r<BR>\n" );
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document.write( "factorize.<BR>\n" );
document.write( "we get two values x=0.6 OR -1.88\r<BR>\n" );
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document.write( "ignore negative value.\r<BR>\n" );
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document.write( "so 0.6 hours </SPAN>\n" );
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