document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264833>Question 264833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help <BR>\n" );
document.write( "Patrice,by himself, can paint four rooms in 10 hours. if he hire April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint four rooms? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194950 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=194950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Patrice,by himself, can paint four rooms in 10 hours. if he hire April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint four rooms?<BR>\n" );
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document.write( "Let x = time when A work's alone<BR>\n" );
document.write( "Let the completed job = 1 (the painting of 4 rooms)<BR>\n" );
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document.write( "A typical shared work equation<BR>\n" );
document.write( "Each will do a fraction of the work, the two fractions add up to 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F10 ALIGN=MIDDLE  ALT=\"6%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx ALIGN=MIDDLE  ALT=\"6%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 10x, the results:<BR>\n" );
document.write( "6x + 10(6) = 10x<BR>\n" );
document.write( "6x + 60 = 10x<BR>\n" );
document.write( "60 = 10x - 6x<BR>\n" );
document.write( "60 = 4x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F4 ALIGN=MIDDLE  ALT=\"60%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 15 hrs for A to do the job alone<BR>\n" );
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document.write( "Check solution on a calc, enter 6/10 + 6/15 = 1\r<BR>\n" );
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