document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824583>Question 824583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three taps p,q,r can fill a tank in 8,10 & 12 hours respectively.Tap p is opened at 8am tap q at 10am & tap r at 11am . At what time would the tank be full?<BR>\n" );
document.write( "A) 12:12 p.m<BR>\n" );
document.write( "B) 12:42 p.m </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496672 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=496672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three taps p,q,r can fill a tank in 8,10 & 12 hours respectively.<BR>\n" );
document.write( "Tap p is opened at 8am tap q at 10am & tap r at 11am . <BR>\n" );
document.write( "At what time would the tank be full?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let t = tap p operating time<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t-2) = tap q operating time<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(t-3) = tap r operating time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the full tank = 1<BR>\n" );
document.write( ":<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-2%29%29%2F10 ALIGN=MIDDLE  ALT=\"%28%28t-2%29%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t-3%29%29%2F12 ALIGN=MIDDLE  ALT=\"%28%28t-3%29%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply 120 to clear the denominators<BR>\n" );
document.write( "15t + 12(t-2) + 10(t-3) = 120<BR>\n" );
document.write( "15t + 12t - 24 + 10t - 30 = 120<BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "15t + 12t + 10t - 24 - 30 = 120<BR>\n" );
document.write( "37t - 54 = 120<BR>\n" );
document.write( "37t = 120 + 54<BR>\n" );
document.write( "37t = 174<BR>\n" );
document.write( "t = 174/37<BR>\n" );
document.write( "t = 4.7 hrs which is 4 + .7(60) = 4 hr 42 min<BR>\n" );
document.write( "Find the time<BR>\n" );
document.write( "8:00 + 4:42 = 12:42 time to be full\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );