document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158315>Question 1158315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes a smaller hose 4<BR>\n" );
document.write( "times as long to fill a certain swimming pool as it does a larger hose. It takes both hoses working together 25<BR>\n" );
document.write( "minutes to fill the pool. How long will it take the larger hose to fill the pool by itself?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781226 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=781226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  It takes a smaller hose 4 times as long to fill a certain swimming pool as it does a larger hose.<BR>\n" );
document.write( " It takes both hoses working together 25 minutes to fill the pool.<BR>\n" );
document.write( " How long will it take the larger hose to fill the pool by itself?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time for the larger hose to fill the pool<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4t = time for smaller hose to do the job<BR>\n" );
document.write( "and<BR>\n" );
document.write( "let the completed job = 1 (a full pool)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A typical shared work equation<BR>\n" );
document.write( "each will do a fraction of the job, the two fractions add up 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2Ft ALIGN=MIDDLE  ALT=\"25%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F%284t%29 ALIGN=MIDDLE  ALT=\"25%2F%284t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 4t, cancel out the denominators<BR>\n" );
document.write( "4(25) + 25 = 4t<BR>\n" );
document.write( "100 + 25 = 4t<BR>\n" );
document.write( "t = 125/4<BR>\n" );
document.write( "t = 31.25 min for the large hose to fill the pool<BR>\n" );
document.write( ":<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=25%2F31.5 ALIGN=MIDDLE  ALT=\"25%2F31.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F%284%2831.5%29%29 ALIGN=MIDDLE  ALT=\"25%2F%284%2831.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F31.5 ALIGN=MIDDLE  ALT=\"25%2F31.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F125 ALIGN=MIDDLE  ALT=\"25%2F125\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ".8 + .2 = 1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );