document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150241>Question 150241</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pipe A fills a 50-liter tank at a rate of 15 liters per hour. Pipe B fills the same tank at a rate of 10 liters per hour. Pipe A runs alone for 100 minutes then the two of them together finish filling up the tank. How long does the whole operation take?\r<BR>\n" );
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document.write( "The answer is 160 minutes, but I have no idea how to arrive at this answer. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110238 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=110238\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer is right, 160 minutes.<BR>\n" );
document.write( "We'll look how it arrived there. Rememeber the following,<BR>\n" );
document.write( "Rate of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=15L%2Fhr ALIGN=MIDDLE  ALT=\"A=15L%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rate of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=10L%2Fhr ALIGN=MIDDLE  ALT=\"B=10L%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Pipe <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50L%2F%2815L%2Fhr%29 ALIGN=MIDDLE  ALT=\"50L%2F%2815L%2Fhr%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=3.333hrs=200 minutes it takes to fill the tank<BR>\n" );
document.write( "Pipe <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50L%2F%2810L%2Fhr%29 ALIGN=MIDDLE  ALT=\"50L%2F%2810L%2Fhr%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=5 hours= 300 minutes it takes to fill the tank<BR>\n" );
document.write( ".<BR>\n" );
document.write( "It took <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+minutes ALIGN=MIDDLE  ALT=\"100+minutes\"   DISABLED_style= \"max-width:90%; height:auto;\" > for Pipe A alone to fill the tank at first. You see above, it needs 200 minutes for A to fill 50L tank. By ratio & proportion,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50L%2F200minutes=x%2F100minutes ALIGN=MIDDLE  ALT=\"50L%2F200minutes=x%2F100minutes\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=25L (remaining volume to fill)<BR>\n" );
document.write( "It just makes sense, only half of the total time he used (100 min), so only half of the tank remains (25L).<BR>\n" );
document.write( "Now, to continue filling the remaining 25L, Pipe B joins the process.<BR>\n" );
document.write( "We need to add the rate of Pipe A + Rate of Pipe B for the remining task:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815L%2Fhr%29%2B%2810L%2Fhr%29=25L%2Fhr ALIGN=MIDDLE  ALT=\"%2815L%2Fhr%29%2B%2810L%2Fhr%29=25L%2Fhr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=25L%2Fcombined+rate=25L%2F%2825L%2Fhr%29 ALIGN=MIDDLE  ALT=\"x=25L%2Fcombined+rate=25L%2F%2825L%2Fhr%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 1 hour = 60 minutes<BR>\n" );
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document.write( "In conclusion, we add this 60 minutes (Both A & B) + 100 minutes (alone Pipe A)= 160 minutes<BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo<BR>\n" );
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