document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188506>Question 1188506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two mechanics, Bonita Rich and Pamela Pearson, take 8 hours to rebuild an engine when they work together. If each worked alone, Bonita, the more experienced<BR>\n" );
document.write( "mechanic, could complete the job 2 hours faster than Pamela. How long would it take each of them to rebuild the engine working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819615 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> B takes x hours, so 1 hour is 1/x of the job<BR>\n" );
document.write( "P takes x+2 hours so 1 hour is 1/(x+2) of the job<BR>\n" );
document.write( "and (8/x)+(8/(x+2))=1 full job, the 8's coming from 8 hours they each worked<BR>\n" );
document.write( "multiply by x(x+2)<BR>\n" );
document.write( "and 8(x+2)+8(x)=x^2+2x<BR>\n" );
document.write( "so 8x+16+8x=x^2+2x<BR>\n" );
document.write( "x^2-14x-16=0<BR>\n" );
document.write( "x=(1/2)(14+/- sqrt(196+64)); sqrt(260)=16.12<BR>\n" );
document.write( "only positive root is x=15.06 hours for Bonita and 17.06 for Pamela<BR>\n" );
document.write( "(8/15.06)=0.531 of the job<BR>\n" );
document.write( "(8/17.06)=0.469 of the job<BR>\n" );
document.write( "They add to 1<BR>\n" );
document.write( " </SPAN>\n" );
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