document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191642>Question 191642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Andrea can rake her Dad's yard in 45 minutes. Andrea's brother Bradford rakes one and one-half times faster than Andrea. How long would it take them to rake their Dad's yard together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143779 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     Andrea can rake her Dad's yard in 45 minutes. Andrea's brother Bradford rakes one and one-half times faster than Andrea. How long would it take them to rake their Dad's yard together?<BR>\n" );
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document.write( "Andrea's rate:<BR>\n" );
document.write( "1 job per 45 minutes<BR>\n" );
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document.write( "Brother's rate:<BR>\n" );
document.write( "1.5x = 45 <BR>\n" );
document.write( "x = 45/1.5<BR>\n" );
document.write( "x = 1 job per 30 minutes<BR>\n" );
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document.write( "Let t = time (in hours) it would take for them to work together<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(1/45)t + (1/30)t = 1<BR>\n" );
document.write( "30t + 45t = 1350<BR>\n" );
document.write( "75t = 1350<BR>\n" );
document.write( "t = 1350/75<BR>\n" );
document.write( "t = 18 minutes\r<BR>\n" );
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document.write( " </SPAN>\n" );
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