document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=689225>Question 689225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it took them 7 days. How long would it take each to paint the house? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425899 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=425899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Person A can paint the neighbor's house 5 times as fast as Person B.<BR>\n" );
document.write( " The year A and B worked together, it took them 7 days.<BR>\n" );
document.write( " How long would it take each to paint the house?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time required by A to paint the house<BR>\n" );
document.write( "\" Person A can paint the neighbor's house 5 times as fast as Person B.\"<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( "5t = time required by B<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1 (a painted house)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Each will do a fraction of the job, the two fractions add up to 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Ft ALIGN=MIDDLE  ALT=\"7%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%285t%29 ALIGN=MIDDLE  ALT=\"7%2F%285t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 5t to get rid of the denominators, resulting in:<BR>\n" );
document.write( "5(7) + 7 = 5t<BR>\n" );
document.write( "35 + 7 = 5t<BR>\n" );
document.write( "42 = 5t<BR>\n" );
document.write( "t = 42/5<BR>\n" );
document.write( "t = 8.4 days required by A<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5(8.4) = 42 days required by B<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this using a calc<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F8.4 ALIGN=MIDDLE  ALT=\"7%2F8.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F42 ALIGN=MIDDLE  ALT=\"7%2F42\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( ".83 + .17 = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );