document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=597625>Question 597625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes a small sprinkler 16 minutes longer to soak a lawn than it takes a larger sprinkler. working together, the sprinklers can soak a lawn in 6 minutes. How long would it take each sprinkler,working alone, to soak the lawn? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378254 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=378254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add their rates of soaking to get their <BR>\n" );
document.write( "rate of soaking together<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;\" > = the time in minutes for the larger sprinkler to soak lawn<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+16+ ALIGN=MIDDLE  ALT=\"+t+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the time in minutes  for the smaller sprinkler to soak lawn<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Rate for larger sprinkler = ( 1 lawn ) / ( t min )\<BR>\n" );
document.write( "Rate for smaller sprinkler = ( 1 lawn ) / ( t + 16 min )<BR>\n" );
document.write( "Rate working together = ( 1 lawn ) / ( 6 min )<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t+%2B+16+%29+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+%2B+16+%29+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply each sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t%2A%28+t+%2B+16+%29+ ALIGN=MIDDLE  ALT=\"+6t%2A%28+t+%2B+16+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%2A%28+t+%2B+16+%29+%2B+6t+=+t%2A%28+t+%2B+16+%29+ ALIGN=MIDDLE  ALT=\"+6%2A%28+t+%2B+16+%29+%2B+6t+=+t%2A%28+t+%2B+16+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t+%2B+96+%2B+6t+=+t%5E2+%2B+16t+ ALIGN=MIDDLE  ALT=\"+6t+%2B+96+%2B+6t+=+t%5E2+%2B+16t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+%2B+4t+=+96+ ALIGN=MIDDLE  ALT=\"+t%5E2+%2B+4t+=+96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+%2B+4t+%2B+%284%2F2%29%5E2+=+96+%2B+%284%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+t%5E2+%2B+4t+%2B+%284%2F2%29%5E2+=+96+%2B+%284%2F2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2+%2B+4t+%2B+4+=+96+%2B+4+ ALIGN=MIDDLE  ALT=\"+t%5E2+%2B+4t+%2B+4+=+96+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+t+%2B+2+%29%5E2+=+10%5E2+ ALIGN=MIDDLE  ALT=\"+%28+t+%2B+2+%29%5E2+=+10%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+2+=+10+ ALIGN=MIDDLE  ALT=\"+t+%2B+2+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( ignore the negative square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+8+ ALIGN=MIDDLE  ALT=\"+t+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+16+=+24+ ALIGN=MIDDLE  ALT=\"+t+%2B+16+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The smaller sprinkler takes 24 min<BR>\n" );
document.write( "The larger one takes 8  min<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F%28+t+%2B+16+%29+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F%28+t+%2B+16+%29+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F8+%2B+1%2F24+=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2F8+%2B+1%2F24+=+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F24+%2B+1%2F24+=+4%2F24+ ALIGN=MIDDLE  ALT=\"+3%2F24+%2B+1%2F24+=+4%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F24+=+4%2F24+ ALIGN=MIDDLE  ALT=\"+4%2F24+=+4%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );