document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108260>Question 108260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve:\r<BR>\n" );
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document.write( "Two front-end loaders can remove 3/4 of the dirt from an excavation in 1 4/5 days.  Working alone, loader A would take 2 days longer than loader B working alone to remove all the dirt.  How long for A to do the job completely by itself?\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78872 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=78872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3/4=.75 of all the dirt in 1 4/5 or 1.8 days<BR>\n" );
document.write( "the full job of removing all the dirt is:<BR>\n" );
document.write( "1.8/.75=2.4 days.<BR>\n" );
document.write( "to formula for working together is:<BR>\n" );
document.write( "(x+y)/xy<BR>\n" );
document.write( "(x+x+2)/x(x+2)=1.8<BR>\n" );
document.write( "(2x+2)/(x^2+2x)=1.8 now cross multiply<BR>\n" );
document.write( "1.8x^2+3.6x=2x+2<BR>\n" );
document.write( "1.8x^2+3.6x-2x-2=0<BR>\n" );
document.write( "1.8x^2+1.6x-2=0<BR>\n" );
document.write( "using the quadratic equation we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=(-1.6+-sqrt[1.6^2-4*1.8*-2])/2*1.8<BR>\n" );
document.write( "x=(-1.6+-sqrt[2.56+14.4])/3.6<BR>\n" );
document.write( "x=(-1.6+-sqrt[16.96])/3.6<BR>\n" );
document.write( "x=(-1.6+-4.12)/3.6<BR>\n" );
document.write( "x=(-1.6+4.12)/3.6<BR>\n" );
document.write( "x=2.52/3.6<BR>\n" );
document.write( "x=.7 days for the B loader.<BR>\n" );
document.write( ".7+2=2.7 days for the A loader.<BR>\n" );
document.write( "proof<BR>\n" );
document.write( "(.7+2.7)/.7*2.7=1.8<BR>\n" );
document.write( "3.4/1.89=1.8<BR>\n" );
document.write( "1.8=1.8<BR>\n" );
document.write( " </SPAN>\n" );
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