document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157569>Question 1157569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Allen can complete a job in 5 hours. If his son Anderson helps, it will take 3 hours to complete the work together. How long would it take to complete the work if Anderson works alone </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780456 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=780456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is an alternative to the standard algebraic solution method shown by the other tutor.<br><BR>\n" );
document.write( "Allen can do the job alone in 5 hours.  So when he and his son complete the job in 3 hours, Allen does 3/5 of the job.<br><BR>\n" );
document.write( "That means his son does 2/5 of the job in 3 hours.<br><BR>\n" );
document.write( "There are two easy paths to the answer from here.<br><BR>\n" );
document.write( "(a) The amount of time it takes the son alone to do the job is 3/(2/5) = 3*(5/2) = 15/2 hours, or 7 1/2 hours.<br><BR>\n" );
document.write( "(b) Since the son does 2/5 if the job in the time Allen does 3/5, the son works 2/3 as fast as Allen; therefore the amount of time it will take the son alone is 3/2 what it takes Allen alone: (3/2)*5 = 15/2 or 7 1/2 hours.<br><BR>\n" );
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