document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198028>Question 198028</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0536944733/algebrahomeworkh>Intro & Inter Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Section 7.7 Applications using rational equations and proportions.\r<BR>\n" );
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document.write( "Problem #16)  A pool can be filled by one pipe in 3 hours and by a second pipe in 6 hours.  How long will it take using both pipes to fill the pool. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148531 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=148531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pool can be filled by one pipe in 3 hours and by a second pipe in 6 hours.<BR>\n" );
document.write( " How long will it take using both pipes to fill the pool.<BR>\n" );
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document.write( "Let t = time required when both pipes are used<BR>\n" );
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document.write( "Let the completed job (full pool) = 1<BR>\n" );
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document.write( "Each pipe fills a fraction of the pool, the two fractions add up to 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F3 ALIGN=MIDDLE  ALT=\"t%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 6 to get rid of the denominators,<BR>\n" );
document.write( "6*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F3 ALIGN=MIDDLE  ALT=\"t%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 6*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6(1)<BR>\n" );
document.write( "cancel the denominators and you have:<BR>\n" );
document.write( "2t + t = 6<BR>\n" );
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document.write( "3t = 6<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F3 ALIGN=MIDDLE  ALT=\"6%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 2 hrs working together<BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( "2/3 + 2/6 = 1<BR>\n" );
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