document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73405>Question 73405</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1567655599/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A clerk is assigned a job that she can complete in 8 hours. After she has been working for 2 hours, another clerk, who is able to do this job in 10 hours, is assigned to help her. In how many hours will the clerks working together complete the job. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52535 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=52535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A clerk is assigned a job that she can complete in 8 hours. After she has been working for 2 hours, another clerk, who is able to do this job in 10 hours, is assigned to help her. In how many hours will the clerks working together complete the job.<BR>\n" );
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document.write( "Let t = number of hrs required to complete the job when working together.<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "The 1st clerk completed 2/8 = 1/4 of the job when the 2nd clerk joined in.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4+%2B+t%2F8+%2B+t%2F10 ALIGN=MIDDLE  ALT=\"1%2F4+%2B+t%2F8+%2B+t%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 40 to get rid of the denominators, resulting in:<BR>\n" );
document.write( "10 + 5t + 4t = 40<BR>\n" );
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document.write( "9t = 40 - 10<BR>\n" );
document.write( "9t = 30<BR>\n" );
document.write( "t = 30/9<BR>\n" );
document.write( "t = 10/3 hrs to complete the job, that would be 2 hrs 20 min<BR>\n" );
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document.write( "Check solution t=10/3 using 10 + 5t + 4t = 40<BR>\n" );
document.write( "10 + 5(10/3) + 4(10/3) =  <BR>\n" );
document.write( "10 + 50/3 + 40/3 =<BR>\n" );
document.write( "30/3 + 50/3 + 40/3 = 120/3 = 40<BR>\n" );
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document.write( "How about this? Did it make sense to you? </SPAN>\n" );
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