document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1111270>Question 1111270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary wants to fill a swimming pool that holds 15,000 gallons of water. if she fills from a large hose for 3 hours and a small hose for 8 hours, she can fill half the pool. The pool is completely filled if she uses both hoses together for 10 hours. how long will it take to fill the pool using each hose 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 #726269 by </B><A HREF=/tutors/aboutme.mpl?userid=amalm06><B>amalm06(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amalm06><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=amalm06><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=726269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose it takes the large hose x hours to fill the pool by itself. Then the<BR>\n" );
document.write( "work rate of the large hose is 1/x. Similarly, suppose it takes the small hose y hours to fill the pool by itself. Then the work rate of the small hose is 1/y.\r<BR>\n" );
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document.write( "Using the constraints in the problem, write a system of simultaneous equations:\r<BR>\n" );
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document.write( "(3/x)+(8/y)=1/2\r<BR>\n" );
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document.write( "(10/x)+(10/y)=1\r<BR>\n" );
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document.write( "Solve the system of equations to find the values of x and y.  </SPAN>\n" );
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