document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22848>Question 22848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Billy 2 hours longer than Reena to do a certain job.  They worked together for 2 hours; then Reena left and Billy finished the job in 1 hour.  How long would it take each of them to do the job alone ?\r<BR>\n" );
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document.write( "(this is from Intermediate Algebra, 7th ed. Jerome Kaufmann/Karen Schwitters, pg 330, problem 42, Quadratic Equations and Inequalities...only one I couldn't get) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11236 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> LET TIME TAKEN BY REENA ALONE TO DO 1 JOB =X HRS<BR>\n" );
document.write( "BILLY ALONE TAKES 2 HRS. MORE =X+2<BR>\n" );
document.write( "SO REENA CAN DO ALONE IN 1 HOUR =1/X JOB<BR>\n" );
document.write( "BILLY CAN DO ALONE IN 1 HOUR =1/(X+2) JOB<BR>\n" );
document.write( "TOGETHER THEY CAN DO IN 1 HR.=(1/X)+(1/(X+2)) JOB<BR>\n" );
document.write( "IN 2 HRS TOGETHER THEY CAN DO =2*{(1/X)+(1/(X+2))} JOB<BR>\n" );
document.write( "NOW REENA LEFT AND BILL ONLY WORKED FOR 1 HOUR = BILLY ALONE DOES 1/(X+2) JOB IN 1 HOUR <BR>\n" );
document.write( "SO TOTAL JOB DONE =2*{(1/X)+(1/(X+2))}+(1/(X+2)) JOB..BUT THIS COMPLETED THE 1 JOB .SO<BR>\n" );
document.write( "2*{(1/X)+(1/(X+2))}+(1/(X+2)) =1<BR>\n" );
document.write( "2/(X)+2/(X+2)+1/(X+2)=1..L.C.M IS (X)(X+2)<BR>\n" );
document.write( "{2(X+2)+2(X)+1(X)}/(X)(X+2)=1<BR>\n" );
document.write( "MULTIPLYING BY LCM (X)(X+2) BOTH SIDES WE GET<BR>\n" );
document.write( "2X+4+2X+X=(X)(X+2)=X^2+2X<BR>\n" );
document.write( "5X+4=X^2+2X<BR>\n" );
document.write( "X^2+2X-5X-4=0<BR>\n" );
document.write( "X^2-3X-4=0<BR>\n" );
document.write( "X^2-4X+X-4=0<BR>\n" );
document.write( "X(X-4)+(X-4)=0<BR>\n" );
document.write( "(X+1)(X-4)=0<BR>\n" );
document.write( "X-4=0<BR>\n" );
document.write( "X=4<BR>\n" );
document.write( "SO REENA CAN DO THE JOB IN 4 HRS AND BILL CAN DO IN X+2=4+2=6 HRS THE JOB. </SPAN>\n" );
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