document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=667189>Question 667189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A,B and C can do a piece of work together in 15 days. B alone can do in 30 days and C alone can do it in 40 days. In how many days A alone will do the work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415037 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A,B and C can do a piece of work together in 15 days.<BR>\n" );
document.write( "B alone can do it in 30 days and C alone can do it in 40 days.<BR>\n" );
document.write( "In how many days A alone will do the work?<BR>\n" );
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document.write( "Let a = no. of days required by A alone<BR>\n" );
document.write( "let the completed job = 1<BR>\n" );
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document.write( "A typical shared work equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Fa ALIGN=MIDDLE  ALT=\"15%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F30 ALIGN=MIDDLE  ALT=\"15%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F40 ALIGN=MIDDLE  ALT=\"15%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Reduce the fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Fa ALIGN=MIDDLE  ALT=\"15%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8 ALIGN=MIDDLE  ALT=\"3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 8a, results<BR>\n" );
document.write( "8(15) + 4a + 3a = 8a<BR>\n" );
document.write( "120 + 7a = 8a<BR>\n" );
document.write( "120 = 8a - 7a<BR>\n" );
document.write( "a = 120 hrs A working alone<BR>\n" );
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document.write( "see if that adds up using a calc<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F120 ALIGN=MIDDLE  ALT=\"15%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F30 ALIGN=MIDDLE  ALT=\"15%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F40 ALIGN=MIDDLE  ALT=\"15%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ".125 + .50 + .375 = 1; confirms our solution </SPAN>\n" );
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