document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=721576>Question 721576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem.<BR>\n" );
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?\r<BR>\n" );
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document.write( "A) 10 hours for one<BR>\n" );
document.write( "   20 hours for the other\r<BR>\n" );
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document.write( "B) 15 hours for one<BR>\n" );
document.write( "   25 hours for the other\r<BR>\n" );
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document.write( "c) 15 hours for one<BR>\n" );
document.write( "   30 hours for the other\r<BR>\n" );
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document.write( "d) 12.5 hours for one<BR>\n" );
document.write( "    25 hours for the other\r<BR>\n" );
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document.write( "E) 25 hours for one<BR>\n" );
document.write( "   50 hours for the other </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442438 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=442438\">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, takes 15 hours longer than the other to fill the tank. How long would each pipe take to fill the tank alone?<BR>\n" );
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document.write( "let x=hours the first pipe takes to fill the tank<BR>\n" );
document.write( "Its rate=1/x<BR>\n" );
document.write( "x+15=hours the second takes to fill the tank<BR>\n" );
document.write( "Its rate=1/(x+15)<BR>\n" );
document.write( "1/10=rate of both pipes working together<BR>\n" );
document.write( "sum of individual rates = rate working together<BR>\n" );
document.write( "..<BR>\n" );
document.write( "1/x+1/(x+15)=1/10<BR>\n" );
document.write( "LCD: x(x+15)<BR>\n" );
document.write( "x+15+x=x(x+15)/10<BR>\n" );
document.write( "2x+15=(x^2+15x)/10<BR>\n" );
document.write( "20x+150=x^2+15x<BR>\n" );
document.write( "x^2-5x-150=0<BR>\n" );
document.write( "(x-15)(x+10)=0<BR>\n" );
document.write( "x=-10(reject)<BR>\n" );
document.write( "x=15<BR>\n" );
document.write( "x+15=30<BR>\n" );
document.write( "hours the first pipe takes to fill the tank=15<BR>\n" );
document.write( "hours the second pipe takes to fill the tank=30<BR>\n" );
document.write( "answer is c)<BR>\n" );
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