document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734433>Question 734433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pool has two pipes, A and B. The pool can be filled in 10 hours less by using pipe A than using pipe B. One day, pipe A was turned on for 10 hours before pipe B was also turned on. The pool was filled after 6 more hours. How long does it take pipe A alone to fill the pool?\r<BR>\n" );
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document.write( "PLEASE HELP! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448984 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=448984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A pool has two pipes, A and B.<BR>\n" );
document.write( " The pool can be filled in 10 hours less by using pipe A than using pipe B.<BR>\n" );
document.write( " One day, pipe A was turned on for 10 hours before pipe B was also turned on.<BR>\n" );
document.write( " The pool was filled after 6 more hours.<BR>\n" );
document.write( " How long does it take pipe A alone to fill the pool?<BR>\n" );
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document.write( "let x = time required by pipe A alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+10) = time required by pipe B alone<BR>\n" );
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document.write( "Let the completed job = 1 (a full pool)<BR>\n" );
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document.write( "A shared work equation, (pipe A on for 16 hrs):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Fx ALIGN=MIDDLE  ALT=\"16%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28%28x%2B10%29%29 ALIGN=MIDDLE  ALT=\"6%2F%28%28x%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by x(x+10) to clear the denominators, resulting in:<BR>\n" );
document.write( "16(x+10) + 6x = x(x+10)<BR>\n" );
document.write( "16x + 160 + 6x = x^2 + 10x<BR>\n" );
document.write( "combine like terms to form a quadratic equation on the right:<BR>\n" );
document.write( "0 = x^2 + 10x - 22x - 160<BR>\n" );
document.write( "x^2 - 12x - 160 = 0<BR>\n" );
document.write( "factors to<BR>\n" );
document.write( "(x-20)(x+8) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "x = 20 hrs for pipe A to fill the tank<BR>\n" );
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document.write( "Check this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F20 ALIGN=MIDDLE  ALT=\"16%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F30 ALIGN=MIDDLE  ALT=\"6%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".8 + .2 = 1\r<BR>\n" );
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