document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=795806>Question 795806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.) A set of triplets, Darren, Derrick, and Daniel each alternate mowing the lawn, raking the leaves, and sweeping the driveway and walkway. If Derrick takes 6 hours to do all of the chores himself, while Darren does all of the chores in half the time as Derrick, and Daniel takes 1 hour longer than Darren, how long will it take the triplets to do all of the chores working together?     a.) Translate into a work equation b.) write the equation without fractions. Solve the equation.\r<BR>\n" );
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document.write( "I figured out that Darren would take 3 hours on the task, Derrick 6, and Daniel 4. Then to figure out a work equation I did 1/3t+1/6t+1/4t(t), but now I am stuck. I am not even sure if I am on the right track so if you could help me that would be great. Thanks so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #481171 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=481171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Derrick contributes 1/6 of an hour in an hour<BR>\n" );
document.write( "Darren does all the chores in half the time as Derrick means Darren contributes 1/3 of an hour in an hour since he does all chores in 6/2 hours<BR>\n" );
document.write( "Daniel takes 3 +1 hours to do chores and contributes 1/4 of an hour in an hour<BR>\n" );
document.write( "therefore we have<BR>\n" );
document.write( "1/6 +1/3 +1/4 = 1/t<BR>\n" );
document.write( "2/12 +4/12 +3/12 = 1/t<BR>\n" );
document.write( "9/12 = 1/t<BR>\n" );
document.write( "t = 12/9 = 4/3<BR>\n" );
document.write( "t = 1 hour and 20 minutes\r<BR>\n" );
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