document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611009>Question 611009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hose A can fill a water tank in 14 hours, while Hose B can fill the same tank in 20 hours. How long will it take to fill the tank if both hoses are used? This needs to be written as a linear equation.\r<BR>\n" );
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document.write( "What I have tried:\r<BR>\n" );
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document.write( "X= Hose A which fills 1/14 of the tank in an hour<BR>\n" );
document.write( "Y= Hose B which fills 1/20 of the tank in an hour\r<BR>\n" );
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document.write( "X+Y= (14+20)/20*14= 34/280= 17/140\r<BR>\n" );
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document.write( "This is as far as I got but my answer would be 17 hours which is incorrect.\r<BR>\n" );
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document.write( "Thank you<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384703 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=384703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hose A can fill a water tank in 14 hours, while Hose B can fill the same tank in 20 hours. How long will it take to fill the tank if both hoses are used? This needs to be written as a linear equation. <BR>\n" );
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document.write( "A rate = 1/14 job/hr <BR>\n" );
document.write( "B rate = 1/20 job/hr<BR>\n" );
document.write( "Together rate = 1/x job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/14 + 1/20 = 1/x<BR>\n" );
document.write( "20x + 14x = 14*20<BR>\n" );
document.write( "34x = 280<BR>\n" );
document.write( "x = 8.24 hrs. = 8 hrs 14 minutes<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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