document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134694>Question 1134694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tap fills a tank in 60 mins, another tap fills the same tank in 25 mins, and a third tap fills the same tank in 15 mins. How much time will those take if they run at the same time to fill this tank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752191 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=752191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "In the clearly presented solution from tutor @ikleyn, the problem is solved by the standard algebraic method -- looking at the fraction of the job each tap does in one minute, and solving an equation using the least common denominator of those fractions.<br><BR>\n" );
document.write( "Here is an alternative method that many students prefer, since it avoids using fractions in the calculations.<br><BR>\n" );
document.write( "The individual times for the three taps to fill the tank are 60, 25, and 15 minutes.<br><BR>\n" );
document.write( "(1) Find the least common MULTIPLE of those times -- 300.<br><BR>\n" );
document.write( "(2) In 300 minutes...<BR>\n" );
document.write( "(a) the first tap could fill the tank 300/60 = 5 times;<BR>\n" );
document.write( "(b) the second tap could fill the tank 300/25 = 12 times; and<BR>\n" );
document.write( "(c) the third tap could fill the tank 300/15 = 20 times.<br><BR>\n" );
document.write( "So in 300 minutes, the three taps could fill the tank 5+12+20 = 37 times.  That means the time required to fill the one tank is 300/37 minutes. </SPAN>\n" );
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