document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=536726>Question 536726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two hoses are used to fill a water trough. The first hose can fill it in 20 minutes while the second hose needs only 16 minutes. If the second hose is used for the first 4 minutes and then the first is also used, how long will the first hose be used? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352556 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=352556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What are their rates of filling the trough?<BR>\n" );
document.write( "Hose 1: ( 1 trough ) / ( 20 min )<BR>\n" );
document.write( "Hose 2: ( 1 trough ) / ( 16 min )<BR>\n" );
document.write( "How much of the trough does hose 2 get<BR>\n" );
document.write( "filled in the 1st 4 minutes?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F16%29%2A4+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+%281%2F16%29%2A4+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That means there is <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 trough<BR>\n" );
document.write( "left to be filled using both hoses<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 fill 3/4 of trough with both hoses <BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Add their rates of filling to get the rate <BR>\n" );
document.write( "with both filling<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+%2B+1%2F16+=+%283%2F4%29%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2F16+=+%283%2F4%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%2F20+%2B+1%2F16+=+3%2F%284t%29++ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2F16+=+3%2F%284t%29++\"   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=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F5+%2B+1%2F4+=+3%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F5+%2B+1%2F4+=+3%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=20t ALIGN=MIDDLE  ALT=\"20t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4t+%2B+5t+=+60+ ALIGN=MIDDLE  ALT=\"+4t+%2B+5t+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9t+=+60+ ALIGN=MIDDLE  ALT=\"+9t+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+6.667+ ALIGN=MIDDLE  ALT=\"+t+=+6.667+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.667%2A60+=+40+ ALIGN=MIDDLE  ALT=\"+.667%2A60+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "The 1st hose will be used for 6 min and 40 sec<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+%2B+1%2F16+=+%283%2F4%29%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2F16+=+%283%2F4%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=+.05+%2B+.0625+=+.75%2F6.667+ ALIGN=MIDDLE  ALT=\"+.05+%2B+.0625+=+.75%2F6.667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.1125+=+.75%2F6.667+ ALIGN=MIDDLE  ALT=\"+.1125+=+.75%2F6.667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.7500375+=+.75+ ALIGN=MIDDLE  ALT=\"+.7500375+=+.75+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( error is from rounding )<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );