document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150510>Question 150510</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> gian and arwin can finish a project in 4 2/3 hours. gian can do it alone in half as much time as arwin can do the job. How long will it take Arwin to do the job alone. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110480 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=110480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> gian and arwin can finish a project in 4 2/3 hours. gian can do it alone in half as much time as arwin can do the job. How long will it take Arwin to do the job alone.<BR>\n" );
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document.write( "Let G = time it takes gian to do the the job alone<BR>\n" );
document.write( "and A = time it takes arwin to do the the job alone<BR>\n" );
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document.write( "Since you have two unknowns, you'll need to find two equations.<BR>\n" );
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document.write( "G+A = 4 2/3 (or 4.667 hours) (equation 1)<BR>\n" );
document.write( "G = (1/2)A  (equation 2)<BR>\n" );
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document.write( "Use the definition of G (from equation 2) and substitute it into equation 1 to find G:<BR>\n" );
document.write( "G+A = 4.667<BR>\n" );
document.write( "(1/2)A+A = 4.667<BR>\n" );
document.write( "Multiply both sides by 2 to rid ourselves of all denominators:<BR>\n" );
document.write( "A + 2A = 9.334<BR>\n" );
document.write( "3A = 9.334<BR>\n" );
document.write( "A = 3.11 hours (time it take arwin to do the job alone)<BR>\n" );
document.write( "Or, 3 hours 7 mins<BR>\n" );
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document.write( "G = (1/2)A = 1.56 hours (time it takes gian to do the job alone)<BR>\n" );
document.write( "Or 1 hour 34 mins<BR>\n" );
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