document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175440>Question 175440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> times to unload a certain truck:\r<BR>\n" );
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document.write( "al,bob,chuck together  t hours<BR>\n" );
document.write( "al alone  t+1<BR>\n" );
document.write( "bob alone  t+6<BR>\n" );
document.write( "chuck alone 2t\r<BR>\n" );
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document.write( "find t </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130516 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=130516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "al, bob, chuck together work at the rate of 1/t truck per hour<BR>\n" );
document.write( "al works at the rate of 1/(t+1) truck per hour<BR>\n" );
document.write( "bob works at the rate of 1/(t+6) truck per hour<BR>\n" );
document.write( "chuck works at the rate of 1/(2t) truck per hour\r<BR>\n" );
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document.write( "Now we know that:<BR>\n" );
document.write( "(1/(t+1))+(1/(t+6))+(1/(2t))=1/t  multiply each term by 2t(t+1)(t+6)<BR>\n" );
document.write( "2t(t+6)+2t(t+1)+(t+1)(t+6)=2(t+1)(t+6) get rid of parens<BR>\n" );
document.write( "2t^2+12t+2t^2+2t+t^2+7t+6=2t^2+14t+12 simplify<BR>\n" );
document.write( "5t^2+21t+6=2t^2+14t+12  subtract 2t^2, 14t and 12 from each side\r<BR>\n" );
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document.write( "3t^2+7t-6=0  quadratic in standard form and it can be factored<BR>\n" );
document.write( "(3t-2)(t+3)=0<BR>\n" );
document.write( "3t-2=0<BR>\n" );
document.write( "t=2/3 hr---------------------------answer<BR>\n" );
document.write( "and<BR>\n" );
document.write( "t+3=0<BR>\n" );
document.write( "t=-3 hrs----disregard--time in this case is positive\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "1/(2/3 +1) + 1/(2/3+6) + 1/(2*2/3)=1/(2/3)<BR>\n" );
document.write( "3/5 + 3/20 + 3/4=3/2<BR>\n" );
document.write( "12/20 + 3/20 =15/20=3/2<BR>\n" );
document.write( "30/20=3/2<BR>\n" );
document.write( "2/2=3/2\r<BR>\n" );
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document.write( "Does this help??? ------ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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