document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=222878>Question 222878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Heather and marika recently worked at the community service day at Harvey Scott Elementary School. If it took them 3 hours working together to put bark dust down on the side of the school, and it would have taken Heather 5 hours to do it herslef, how long would it take Marika to complete the job 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 #166776 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=166776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Heather and marika recently worked at the community service day at Harvey Scott Elementary School. If it took them 3 hours working together to put bark dust down on the side of the school, and it would have taken Heather 5 hours to do it herslef, how long would it take Marika to complete the job by herself?<BR>\n" );
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document.write( "Together DATA:<BR>\n" );
document.write( "time = 3 hr/job ; rate = 1/3 job/hr.<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Heather DATA:<BR>\n" );
document.write( "time = 5 hr/job ; rate = 1/5 job/hr<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Marika DATA:<BR>\n" );
document.write( "time = x hr/job ;rate = 1/x job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/5 + 1/x = 1/3<BR>\n" );
document.write( "Multiply thru by 15x to get:<BR>\n" );
document.write( "3x + 15 = 5x<BR>\n" );
document.write( "2x = 15<BR>\n" );
document.write( "x = 7 1/2 hrs (time for Marika to do the job alone)<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );