document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076779>Question 1076779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Latoya can paint five 10-foot-by-14-foot rooms by herself in 14 hours. Lisa can paint five 10-foot-by-14-foot rooms by herself in 10 hours. Working together, how long would it take to paint 5 10-foot-by-14 foot rooms?\r<BR>\n" );
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document.write( "(Please show the work! I really want to understand this problem.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #691393 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=691393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The tasks in the question are alike. How long does it take to paint 5 10x14 rooms. Latoya can do it in 14 hours, or 1/14th of the task in an hour. Similarly, Lisa can finish 1/10th of the task per hour. Let n be the time it takes them working together. Then:<BR>\n" );
document.write( "1/14 + 1/10=1/n<BR>\n" );
document.write( "5n+7n=70<BR>\n" );
document.write( "12n=70<BR>\n" );
document.write( "n=70/12=35/6<BR>\n" );
document.write( "Working together, it takes them 35/6 hours, or 5 hours and 50 minutes. &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
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