document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177891>Question 1177891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Amber has entered a cross-country running series. Each race in the series has a time limit by which runners must complete the course in order to qualify for the next race.<BR>\n" );
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document.write( "The first race is 9 km long and must be completed in 50 minutes.<BR>\n" );
document.write( "After Amber runs the first 5 km, her coach informs her she must increase her speed by 2 km/h for the last 4 km in order to finish the race in 50 minutes.\r<BR>\n" );
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document.write( "a.Complete the following chart. (3 marks)\r<BR>\n" );
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document.write( "First 5 km Section		<BR>\n" );
document.write( "Distance (km)	<BR>\n" );
document.write( "Speed (km/h)	<BR>\n" );
document.write( "Time (h)<BR>\n" );
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document.write( "Last 4 km Section			<BR>\n" );
document.write( "Distance (km)	<BR>\n" );
document.write( "Speed (km/h)	<BR>\n" );
document.write( "Time (h)\r<BR>\n" );
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document.write( "b.Write and solve a rational equation to determine the speed at which Amber needs to run the last 4 km of the race. Convert time in minutes to time in hours. (2 marks)<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 #807026 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=807026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4/x + 5/(x+2) = 5/6\r<BR>\n" );
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document.write( "(4x+8 +5x)/x(x+2) = 5/6\r<BR>\n" );
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document.write( "6(9x+8)= 5x(x+2)\r<BR>\n" );
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document.write( "54x+48 = 5x^2 +10x\r<BR>\n" );
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document.write( "5x^2 +10x -54x -48=0\r<BR>\n" );
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document.write( "5x^2-44x -48 =0\r<BR>\n" );
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document.write( "First 5 km Section<BR>\n" );
document.write( "Distance (km) 5<BR>\n" );
document.write( "Speed (km/h) x<BR>\n" );
document.write( "Time (h) 5/x\r<BR>\n" );
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document.write( "Last 4 km Section<BR>\n" );
document.write( "Distance (km) 4<BR>\n" );
document.write( "Speed (km/h)x+2<BR>\n" );
document.write( "Time (h) 4/(x+2)\r<BR>\n" );
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document.write( "5/x + 4/(x+2) = 5/6\r<BR>\n" );
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document.write( "(5x+10 +4x)/x(x+2) = 5/6\r<BR>\n" );
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document.write( "6(9x+10)= 5x(x+2)\r<BR>\n" );
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document.write( "54x+60 = 5x^2 +10x\r<BR>\n" );
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document.write( "5x^2 +10x -54x -60=0\r<BR>\n" );
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document.write( "5x^2-44x -60 =0\r<BR>\n" );
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document.write( "x=10 \r<BR>\n" );
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document.write( "Last 4 km at 12 km/h\r<BR>\n" );
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