document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=929993>Question 929993</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Working together, Rosa and Dianne can plant 20 flats of pansies in 3 hours. If Rosa works alone, it takes her 8 hours longer than it takes Dianne alone to plant all 20 flats. How long does it take Rosa to plant the pansies by herself? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564651 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=564651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = rosa rate<BR>\n" );
document.write( "y = dianne rate<BR>\n" );
document.write( "t = time for dianne to plant 20 flats<BR>\n" );
document.write( "---<BR>\n" );
document.write( "r = w/t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 1/(t + 8)<BR>\n" );
document.write( "y = 1/t<BR>\n" );
document.write( "x + y = 1/3<BR>\n" );
document.write( "1/(t + 8) + 1/t = 1/3<BR>\n" );
document.write( "t/t(t + 8) + (t + 8)/t(t + 8) = 1/3<BR>\n" );
document.write( "t + (t + 8) = (1/3)*t(t + 8)<BR>\n" );
document.write( "2t + 8 = (1/3)tt + (8/3)t<BR>\n" );
document.write( "(1/3)tt + (8/3)t - 2t - 8 = 0<BR>\n" );
document.write( "(1/3)tt + (8/3)t - (16/3)t - 8 = 0<BR>\n" );
document.write( "(1/3)tt - (8/3)t - 8 = 0<BR>\n" );
document.write( "0.33333tt - 2.66666t - 8 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=0.33333, b=-2.66666 and c=-8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "0.33333 -2.66666 -8<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( "t = 10.3246233<BR>\n" );
document.write( "t = -2.32456327<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( "t = 10.3246233<BR>\n" );
document.write( "t + 8 = 18.3246233<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "time for rosa to plant 20 flats = 18.3 hours<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" );