document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=744066>Question 744066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes a smaller hose 3 times as long to fill a small swimming pool as it does a larger hose. It takes both hoses working together 15 minutes to fill the swimming pool. How long will it take the smaller 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 #453170 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes a smaller hose 3 times as long to fill a small swimming pool as it does a larger hose. It takes both hoses working together 15 minutes to fill the swimming pool. How long will it take the smaller hose to fill the pool by itself?<BR>\n" );
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document.write( "larger hose rate: 1/(3x) job/hr<BR>\n" );
document.write( "smaller hose rate: 1/x job/hr<BR>\n" );
document.write( "together rate (1/(1/4))   4 job/hr<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/3x + 1/x = 4<BR>\n" );
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document.write( "1 + 3 = 12x<BR>\n" );
document.write( "x = 4/12<BR>\n" );
document.write( "x = 1/3 hr (time for the larger hose to do the job)<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );