document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=781615>Question 781615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey! If anyone could help me with this problem I would enjoy it! \r<BR>\n" );
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document.write( "Problem goes as..\r<BR>\n" );
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document.write( "Stefan can clean an attic in 16 hours. Ryan can clean the same attic in 10 hours. Find how long it would take them if they worked together? \r<BR>\n" );
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document.write( "I'm not as good with word problems. But I am getting a bit better. But this question I'm not really positive on how to set it up. If anyone could help me. Again I would really appreciate it! Kudos! <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476020 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=476020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Stefan can clean an attic in 16 hours.<BR>\n" );
document.write( " Ryan can clean the same attic in 10 hours.<BR>\n" );
document.write( " Find how long it would take them if they worked together?<BR>\n" );
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document.write( "Here is an easy way to do these \"shared work\" problems<BR>\n" );
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document.write( "let t = time required to complete the job when they work together<BR>\n" );
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document.write( "let the completed job = 1, (a cleaned attic)<BR>\n" );
document.write( "Each will do a fraction of the job, the two fractions add up to 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F16 ALIGN=MIDDLE  ALT=\"t%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F10 ALIGN=MIDDLE  ALT=\"t%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by the least common multiple of 16 and 10, that's 80<BR>\n" );
document.write( "80*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F16 ALIGN=MIDDLE  ALT=\"t%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 80*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F10 ALIGN=MIDDLE  ALT=\"t%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 80*1<BR>\n" );
document.write( "cancel the denominators and you have<BR>\n" );
document.write( "5t + 8t = 80<BR>\n" );
document.write( "13t = 80<BR>\n" );
document.write( "t = 80/13<BR>\n" );
document.write( "t = 6.154 hrs working together<BR>\n" );
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document.write( "Check this on your calc<BR>\n" );
document.write( "6.154/16 + 6.154/10<BR>\n" );
document.write( ".385 + .615 = 1; confirms our solution of t = 6.154 hrs<BR>\n" );
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