document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298305>Question 298305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me solve this word problem?\r<BR>\n" );
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document.write( "Two pipes can fill a large tank in 10 hours.  One of the pipes, used alone, takes 15 hours longer than the other to fill the tank.  How long would each pipe take to fill the tank alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214667 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=214667\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two pipes can fill a large tank in 10 hours. One of the pipes, used alone,<BR>\n" );
document.write( " takes 15 hours longer than the other to fill the tank.<BR>\n" );
document.write( " How long would each pipe take to fill the tank alone?<BR>\n" );
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document.write( "Let x = time for one of the pipes to fill the tank alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+15) = time for the other pipe to do it<BR>\n" );
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document.write( "Let the completed job = 1 (a full tank)<BR>\n" );
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document.write( "A typical shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fx ALIGN=MIDDLE  ALT=\"10%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F%28%28x%2B15%29%29 ALIGN=MIDDLE  ALT=\"10%2F%28%28x%2B15%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by x(x+15), results:<BR>\n" );
document.write( "10(x+15) + 10x = x(x+15)<BR>\n" );
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document.write( "10x + 150 + 10x = x^2 + 15x<BR>\n" );
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document.write( "Arrange as a quadratic equation on the right<BR>\n" );
document.write( "0 = x^2 + 15x - 20x - 150<BR>\n" );
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document.write( "x^2 - 5x - 150 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x-15)(x+10) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "x = 15 hrs is one pipe<BR>\n" );
document.write( "and<BR>\n" );
document.write( "15 + 15 = 30 hrs is the other pipe<BR>\n" );
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document.write( "Check solution in the original shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F15 ALIGN=MIDDLE  ALT=\"10%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F30 ALIGN=MIDDLE  ALT=\"10%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ".667 + .333 = 1.0 </SPAN>\n" );
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