document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022956>Question 1022956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B do a work respectively in 12 and 15 hours. If they work one by one for one hour each how much time will they take to finish the work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638516 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rate for A is 1/12 of a project per hour<BR>\n" );
document.write( "The rate for B is 1/15 of a project per hour\r<BR>\n" );
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document.write( "So if the two work on the project alternating each hour,<BR>\n" );
document.write( "the average rate will be (1/12 + 1/15)/2 of a project per hour<BR>\n" );
document.write( "or (9/120) per hour<BR>\n" );
document.write( "(9/120)X = 1 project<BR>\n" );
document.write( "so X = (120/9) = 13 1/3 approximately\r<BR>\n" );
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document.write( "More exactly,\r<BR>\n" );
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document.write( "Beginning with A and alternating hourly the amount of work completed will be<BR>\n" );
document.write( "1/12 + 1/15 + 1/12 + 1/15 + 1/12 + 1/15 + 1/12 + 1/15 + 1/12 + 1/15 +1/12 + 1/15 + 1/12 = 59/60 of a project for 13 hours<BR>\n" );
document.write( "The final 1/60 th of the project will be completed at a rate of 1/15 project per hour. (1/15)X = 1/60<BR>\n" );
document.write( "Multiply each side by 15 , X =15/60 or 1/4<BR>\n" );
document.write( "So the total time is 13 1/4 hours </SPAN>\n" );
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