document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830225>Question 830225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you have entered a 96 mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 9 mile per hour, and during your bicycle race, you average velocity is 29 miles per hour. You finish the race in 4 hours. What is the distance of the run? What is the distance of the bicycle race<BR>\n" );
document.write( "what is the distance of the run in miles<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500432 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=500432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = run distance<BR>\n" );
document.write( "y = bike distance<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s = d/t<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "---<BR>\n" );
document.write( "run:<BR>\n" );
document.write( "t1 = x/9<BR>\n" );
document.write( "---<BR>\n" );
document.write( "bike:<BR>\n" );
document.write( "t2 = y/29<BR>\n" );
document.write( "---<BR>\n" );
document.write( "total time:<BR>\n" );
document.write( "t1 + t2 = 4<BR>\n" );
document.write( "x/9 + y/29 = 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "total distance:<BR>\n" );
document.write( "x + y = 96<BR>\n" );
document.write( "---<BR>\n" );
document.write( "linear system:<BR>\n" );
document.write( "(1/9)x + (1/29)y = 4<BR>\n" );
document.write( "x + y = 96<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "0.111111x + 0.034483y = 4<BR>\n" );
document.write( "x + y = 96<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above linear system in standard form into this matrix-method solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = run distance = 9 miles<BR>\n" );
document.write( "y = bike distance = 87 miles<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );