document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935388>Question 935388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a 200 mile bike ride, Duva realized that if she could average 1 mile per hour faster than she did on her last 200 mile bike ride, she would finish 1 hour sooner. How long did she spend on her last 200 mile ride?\r<BR>\n" );
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document.write( "*Write the answer in minutes, and round to the nearest 10 minutes* </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568615 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=568615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = speed on previous ride<BR>\n" );
document.write( "y = speed on current ride<BR>\n" );
document.write( "a = time on previous ride<BR>\n" );
document.write( "b = time on current ride<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( "y = x + 1<BR>\n" );
document.write( "b = a - 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "time on current ride:<BR>\n" );
document.write( "b = 200/y<BR>\n" );
document.write( "a - 1 = 200/(x + 1)<BR>\n" );
document.write( "a = 200/(x + 1) + 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "time on previous ride:<BR>\n" );
document.write( "a = 200/x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "equate \"a\" times:<BR>\n" );
document.write( "200/x = 200/(x + 1) + 1<BR>\n" );
document.write( "200/x - 200/(x + 1) = 1<BR>\n" );
document.write( "200(x + 1)/x(x + 1) - 200x/x(x + 1) = 1<BR>\n" );
document.write( "200(x + 1) - 200x = x(x + 1)<BR>\n" );
document.write( "200x + 200 - 200x = xx + x<BR>\n" );
document.write( "xx + x - 200 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=1, b=1 and c=-200<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "1 1 -200<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic has two real roots at:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 13.6509717<BR>\n" );
document.write( "x = -14.6509717<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the negative root doesn't fit the problem statement, so use the positive root:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 13.6509717<BR>\n" );
document.write( "a = 200/(x + 1) + 1<BR>\n" );
document.write( "a = 200/(13.6509717 + 1) + 1<BR>\n" );
document.write( "a = 14.6509716963<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "a = 14.65 hours<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Free algebra tutoring live chat:<BR>\n" );
document.write( "https://sooeet.com/chat.php?gn=algebra<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 with 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<BR>\n" );
document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );