document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=446486>Question 446486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two town A and B are 300 km apart. C is exacly halfway between A and B. A cyclist departs from B to C at x km/h at 9h00 and one hour later a second cyclist depatrs form A to C, 5 km/h faster than the first cyclist. They reach C simultaneously.\r<BR>\n" );
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document.write( "1.1) Calculate, in terms of x, the time each cyclist requires to reach C.<BR>\n" );
document.write( "1.2) Calculate at what time they will reach C. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #307508 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=307508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two town A and B are 300 km apart. C is exacly halfway between A and B.<BR>\n" );
document.write( " A cyclist departs from B to C at x km/h at 9h00 and one hour later a second<BR>\n" );
document.write( " cyclist departs form A to C, 5 km/h faster than the first cyclist.<BR>\n" );
document.write( " They reach C simultaneously.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1.1) Calculate, in terms of x, the time each cyclist requires to reach C.<BR>\n" );
document.write( "Time = dist/speed<BR>\n" );
document.write( "A cyclist: t(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2Fx ALIGN=MIDDLE  ALT=\"150%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "B cyclist: t(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"150%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find x<BR>\n" );
document.write( "B's time + 1 hr = A's time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"150%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%2Fx ALIGN=MIDDLE  ALT=\"150%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply by x(x+5), results:<BR>\n" );
document.write( "150x + x(x+5) = 150(x+5)<BR>\n" );
document.write( "150x + x^2 + 5x = 150x + 750<BR>\n" );
document.write( "x^2 + 5x + 150x - 150x - 750 = 0<BR>\n" );
document.write( "x^2 + 5x - 750 = 0<BR>\n" );
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document.write( "Factors to <BR>\n" );
document.write( "(x+30)(x-25) = 0<BR>\n" );
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document.write( "the positive solution<BR>\n" );
document.write( "x = 25 km/h is A's speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "25 + 5 = 30 km/h is B's speed<BR>\n" );
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document.write( "find the travel times<BR>\n" );
document.write( "A: 150/25 = 6 hrs<BR>\n" );
document.write( "B: 150/30 = 5 hrs<BR>\n" );
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document.write( "1.2) Calculate at what time they will reach C.<BR>\n" );
document.write( "9:00 + 6 = 3 PM; A will reach C<BR>\n" );
document.write( "and<BR>\n" );
document.write( "10:00 + 5 = 3 PM; B will reach C also </SPAN>\n" );
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