document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085718>Question 1085718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tap A can fill a tank in 15 minutes.<BR>\n" );
document.write( "Tap B can fill a tank in 20 minutes.<BR>\n" );
document.write( "How long will it take to fill the tank when both taps are turned on? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699786 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=699786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\">Table<BR>\n" );
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document.write( "<tr><th></th><th>Time</th><th>Rate</th></tr><tr><TD >Tap A</TD><TD >15</TD><TD >1/15</TD></tr><tr><TD >Tap B</TD><TD >20</TD><TD >1/20</TD></tr><tr><TD >Total</TD><TD ></TD><TD >7/60</TD></tr>\n" );
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document.write( "The table represents the rates and times for both taps. \r<BR>\n" );
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document.write( "The time values are in minutes. The rates are in jobs per minute\r<BR>\n" );
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document.write( "A rate like \"1/20\" means tap B can get 1/20th of a job done per minute. Each minute, tap B fills up 1/20 = 0.05 = 5% of the sink. \r<BR>\n" );
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document.write( "The combined rate of 7/60 is the result of adding the fractions 1/15 and 1/20 like so<BR>\n" );
document.write( "(1/15) + (1/20) = (4/4)*(1/15) + (3/3)*(1/20)<BR>\n" );
document.write( "(1/15) + (1/20) = 4/60 + 3/60<BR>\n" );
document.write( "(1/15) + (1/20) = (4+3)/60<BR>\n" );
document.write( "(1/15) + (1/20) = 7/60\r<BR>\n" );
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document.write( "This means that if the taps are opened together, then the sink is filled at a rate of 7/60 jobs per minute. Put another way, the two taps work together to fill the sink 7/60 of the way for each minute.\r<BR>\n" );
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document.write( "Let t be the time it takes for both sinks to get the job done together. In this case,<BR>\n" );
document.write( "(combined rate)*(time) = 1<BR>\n" );
document.write( "where \"1\" represents the fact that 1 job is completed, ie the sink is full 100%\r<BR>\n" );
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document.write( "The combined rate found earlier is 7/60. The time is unknown. Let's solve for t<BR>\n" );
document.write( "(combined rate)*(time) = 1<BR>\n" );
document.write( "(7/60)*(t) = 1<BR>\n" );
document.write( "60*(7/60)*(t) = 60*1<BR>\n" );
document.write( "7*t = 60<BR>\n" );
document.write( "7*t/7 = 60/7<BR>\n" );
document.write( "t = 60/7 <font color=red><--- Exact answer as a fraction</font><BR>\n" );
document.write( "t = 8.571429 <font color=red><--- Approximate answer in decimal form</font>\r<BR>\n" );
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document.write( "It takes roughly 8.571429 minutes for the two taps to completely fill the sink. This is assuming that one tap doesn't hinder the other in any way.</font> </SPAN>\n" );
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