document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883505>Question 883505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A motorcycle driver travels 15 kph faster than a bicycle driver. The motorcycle driver covers 60 kilometers in two hours less than the time it takes the bicycle driver to travel the same distance. Determine whether or not each situation illustrates a quadratic equation. Justify your answer by representing each situation by a mathematical sentence.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533588 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=533588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bicycle speed =x<BR>\n" );
document.write( "time taken for 60 km = 60/x\r<BR>\n" );
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document.write( "motorbike speed = x+15<BR>\n" );
document.write( "time taken for 60 km = 60/(x+15)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fx+-+60%2F%28x%2B15%29=2 ALIGN=MIDDLE  ALT=\"60%2Fx+-+60%2F%28x%2B15%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "multiply by x(x+15)\r<BR>\n" );
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document.write( "60(x+15)-60x =2x(x+15)\r<BR>\n" );
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document.write( "60x+90-60x=2x^2+30x\r<BR>\n" );
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document.write( "2x^2+30x-90 =0\r<BR>\n" );
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document.write( "/2<BR>\n" );
document.write( "x^2+15x-45=0\r<BR>\n" );
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document.write( "degree two so quadratic equation </SPAN>\n" );
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