document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181561>Question 181561</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry  Structure and Method </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Pipes A and B can fill a storage tank in 8 hours and 12 hours, respectivley.  With the tank empty, pipe A was turned on at noon , and then pipe B was turned on at 1:30 pm.  At what time ws the tank full? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136160 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=136160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pipes A and B can fill a storage tank in 8 hours and 12 hours, respectively. With the tank empty, pipe A was turned on at noon , and then pipe B was turned on at 1:30 pm. At what time was the tank full?<BR>\n" );
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document.write( "Let t = the \"on\" time duration of pipe A<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t-1.5) = the \"on\" time of pipe B<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 shared work equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F8 ALIGN=MIDDLE  ALT=\"t%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t-1.5%29%29%2F12 ALIGN=MIDDLE  ALT=\"%28%28t-1.5%29%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 24 to get rid of the denominators, results:<BR>\n" );
document.write( "3t + 2(t-1.5) = 24(1)<BR>\n" );
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document.write( "3t + 2t - 3 = 24<BR>\n" );
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document.write( "5t = 24 + 3<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F5 ALIGN=MIDDLE  ALT=\"27%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 5.4 hrs, which is 5 hrs + (.4*60) = 5 hrs, 24 min<BR>\n" );
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document.write( "we can say the tank will be full at 5:24 pm<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "Check solution; pipe B time: 5.4 - 1.5 = 3.9 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.4%2F8 ALIGN=MIDDLE  ALT=\"5.4%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.9%2F12 ALIGN=MIDDLE  ALT=\"3.9%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".625 + .325 = 1; confirms our solution </SPAN>\n" );
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