document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130522>Question 130522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alex and Boy working together can complete a job in 7 1\2 hours. Working alone, Alex takes 8 hours longer than Boy to do the job. How long would it take each working alone?helllpp me... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95319 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b=hours it takes boy to do the job.<BR>\n" );
document.write( "b+8=hours it takes Alex to do the job.<BR>\n" );
document.write( "1/b=part of the job Boy can do in 1 hr.<BR>\n" );
document.write( "1/(b+8)=part of the job Alex can do in 1 hr.<BR>\n" );
document.write( "Together they can complete a job in 15/2 hours so they can do 2/15 of the job in one hour.<BR>\n" );
document.write( "1/b + 1/(b+8) = 2/15<BR>\n" );
document.write( "15(b+8)+15b=2b(b+8) multiply each side by 15b(b+8) to eliminate fractions.<BR>\n" );
document.write( "15b+120+15b=2b^2+16b<BR>\n" );
document.write( "2b^2+16b-15b-15b-120=0<BR>\n" );
document.write( "2b^2-14b-120=0<BR>\n" );
document.write( "2(b^2-7b-60)=0<BR>\n" );
document.write( "(b-12)(b+5)=0<BR>\n" );
document.write( "b=12 hrs it takes Boy working alone.<BR>\n" );
document.write( "b+8=20 hrs it takes Alex working alone.<BR>\n" );
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document.write( "Ed\r<BR>\n" );
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