document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163362>Question 1163362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lion can eat a sheep in 2 hours, a wolf can eat a sheep in 3 hours, and a dog can eat the sheep in 6 hours. How long would it take a lion, a wolf, and a dog all together to eat the poor sheep?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787447 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=787447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is an alternative method for solving \"working together\" problems that many students like because it avoids working with fractions.<br><BR>\n" );
document.write( "Consider the least common multiple (LCM) of the three given times.  The LCM of 2, 3, and 6 is 6.<br><BR>\n" );
document.write( "Consider what the lion, wolf, and dog could eat in those 6 hours:<BR>\n" );
document.write( "lion: 6/2 = 3 sheep<BR>\n" );
document.write( "wolf: 6/3 = 2 sheep<BR>\n" );
document.write( "dog: 6/6 = 1 sheep<br><BR>\n" );
document.write( "In 6 hours, the lion, wolf, and dog together could eat 3+2+1=6 sheep.<br><BR>\n" );
document.write( "That means the number of hours they would take to eat the one sheep is 6/6 = 1.<br><BR>\n" );
document.write( "ANSWER: 1 hour for the three together to eat the sheep.<br><BR>\n" );
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