document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055498>Question 1055498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A wind generator can charge 20  storage batteries in 24 h . After the generator has been charging for 6.0 h  , another generator, which can charge the batteries in 36 h , is also connected to the batteries. How many additional hours are needed to charge the 20  batteries? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670704 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=670704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rate of charging for the wind <BR>\n" );
document.write( "generator is [ 1 pack ] / [ 24 hrs ]<BR>\n" );
document.write( "( I can call the 20 storage batteries 1 pack<BR>\n" );
document.write( "because the problem is only about the 20<BR>\n" );
document.write( "batteries, never more & never less. )<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "The fraction of charging after 6 hrs is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A%28+1%2F24+%29+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+6%2A%28+1%2F24+%29+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+1%2F4+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+1+-+1%2F4+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the charging job <BR>\n" );
document.write( "left to do<BR>\n" );
document.write( "-------------------------------------------<BR>\n" );
document.write( "Now you have 2 generators charging the pack.<BR>\n" );
document.write( "Add their rates of charging.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time to do the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F4+ ALIGN=MIDDLE  ALT=\"+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the charging job<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F24+%2B+1%2F36+=+%28%283%2F4%29%29%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F24+%2B+1%2F36+=+%28%283%2F4%29%29%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+72t+ ALIGN=MIDDLE  ALT=\"+72t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t+%2B+2t+=+3%2A18+ ALIGN=MIDDLE  ALT=\"+3t+%2B+2t+=+3%2A18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5t+=+54+ ALIGN=MIDDLE  ALT=\"+5t+=+54+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+10.8+ ALIGN=MIDDLE  ALT=\"+t+=+10.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "10.8 additional hours are needed <BR>\n" );
document.write( "to charge the 20 batteries<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F24+%2B+1%2F36+=+%28%283%2F4%29%29%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F24+%2B+1%2F36+=+%28%283%2F4%29%29%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F24+%2B+1%2F36+=+%28%283%2F4%29%29%2F10.8+ ALIGN=MIDDLE  ALT=\"+1%2F24+%2B+1%2F36+=+%28%283%2F4%29%29%2F10.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0416667+%2B+.027777+=+.069444+ ALIGN=MIDDLE  ALT=\"+.0416667+%2B+.027777+=+.069444+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0694437+=+.069444+ ALIGN=MIDDLE  ALT=\"+.0694437+=+.069444+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "error due to rounding off, I think<BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );