document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167548>Question 167548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Zarig took part in a 26 mile road race.\r<BR>\n" );
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document.write( "a. he ran the first 15 miles at an average speed of x mph. he ran the last 11 miles at an average speed of (x-2)mph. write down an expression,in terms of x, for the time he took to complete the 26 mile race?\r<BR>\n" );
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document.write( "b.zarig took 4 hours to complete the race. using your answer to part a, form an quation in terms of x.\r<BR>\n" );
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document.write( "c. i) simplify your equation and show that it can be written as <BR>\n" );
document.write( "      2x^2-17x+15=0\r<BR>\n" );
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document.write( "  ii) solve the quation and obtain zarig's average speed over the first 15     miles of the race.\r<BR>\n" );
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document.write( "pls it would kind enough if you can help me put with this question?     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123451 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=123451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Zarig took part in a 26 mile road race. <BR>\n" );
document.write( "a. he ran the first 15 miles at an average speed of x mph. he ran the last 11 miles at an average speed of (x-2)mph. write down an expression,in terms of x, for the time he took to complete the 26 mile race?<BR>\n" );
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document.write( "time = distance/rate<BR>\n" );
document.write( "Total time = 15/x + 11/(x-2)<BR>\n" );
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document.write( "b.zarig took 4 hours to complete the race. using your answer to part a, form an equation in terms of x. <BR>\n" );
document.write( "4 = 15/x + 11/(x-2)<BR>\n" );
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document.write( "c. i) simplify your equation and show that it can be written as <BR>\n" );
document.write( "2x^2-17x+15=0 <BR>\n" );
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document.write( "4 = 15/x + 11/(x-2)<BR>\n" );
document.write( "4x(x-2) = 15(x-2) + 11x<BR>\n" );
document.write( "4x^2-8x = 15x-30 + 11x<BR>\n" );
document.write( "4x^2-34x-30 = 0<BR>\n" );
document.write( "2x^2-17x-15 = 0<BR>\n" );
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document.write( "ii) solve the equation and obtain zarig's average speed over the first 15 miles of the race.<BR>\n" );
document.write( "x = [17 +- sqrt(17^2-4*2*-15)]/4<BR>\n" );
document.write( "x = [17 +- sqrt(409)]/4<BR>\n" );
document.write( "x = [17 +- 20.2237..]/4<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 9.306 mph (average speed over the 1st 15 miles)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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