document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198722>Question 1198722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> While building the addition to Ponderosa High School, the electricians found that it took 5 men to wire 4 rooms in 6 hours. The foreman added 9 more men to the job. How many hours would it take them to do 28 rooms? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832346 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=832346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There are many ways to solve a problem like this.  My preferred method is to take the given information and change one piece of data at a time to see how the required number of hours changes.<br><BR>\n" );
document.write( "Given: 5 men, 4 rooms takes 6 hours<br><BR>\n" );
document.write( "The new number of rooms is 28, which is 7 times as many.  7 times as many rooms and the same number of men means 7 times as many hours: 5 men, 4*7=28 rooms takes 6*7=42 hours<br><BR>\n" );
document.write( "The new number of men is 5+9=14; it increases by a factor of 14/5.  More men and the same number of rooms means fewer hours: 28 rooms, (14/5)*5 = 14 men means 42*(5/14) = 5*3 = 15 hours<br><BR>\n" );
document.write( "ANSWER: 15 hours<br><BR>\n" );
document.write( "Without all the words of explanation, the required number of hours is<br><BR>\n" );
document.write( "(6)*(28/4)*(5/14) = 15<br><BR>\n" );
document.write( "********************************************<br><BR>\n" );
document.write( "And here is another of the many ways to solve the problem.<br><BR>\n" );
document.write( "4 rooms takes 5 men 6 hours, which means 30 man-hours for 4 rooms.<BR>\n" );
document.write( "So 7 times as many rooms means 7 times as many man-hours: 210 man-hours for 28 rooms.<BR>\n" );
document.write( "210 man-hours with 5+9=14 men means 210/14 = 15 hours.<br><BR>\n" );
document.write( "Again of course the answer is 15 hours.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );