document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924418>Question 924418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Andy and Violet are planting trees. Andy can plant a tree 1.25 times as quickly as Violet can. When they work together, they can plant 25 trees in an hour and 10 minutes. How long would it take Violet to plant the 25 trees if she were working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560845 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=560845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Andy and Violet are planting trees.<BR>\n" );
document.write( " Andy can plant a tree 1.25 times as quickly as Violet can.<BR>\n" );
document.write( " When they work together, they can plant 25 trees in an hour and 10 minutes.<BR>\n" );
document.write( " How long would it take Violet to plant the 25 trees if she were working alone?<BR>\n" );
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document.write( "Change 1 hr 10 min to 1.167 hrs<BR>\n" );
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document.write( "let t = time required by A to plant 25 trees<BR>\n" );
document.write( "then<BR>\n" );
document.write( "1.25t = time required by V to plant 25 trees<BR>\n" );
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document.write( "let the completed job = 1 (the planting of 25 trees)<BR>\n" );
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document.write( "A shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.167%2Ft ALIGN=MIDDLE  ALT=\"1.167%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.167%2F%281.25t%29 ALIGN=MIDDLE  ALT=\"1.167%2F%281.25t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by 5t, get rid of the denominators<BR>\n" );
document.write( "5(1.167) + 4(1.167) = 5t<BR>\n" );
document.write( "5.835 + 4.668 = 5t<BR>\n" );
document.write( "10.5 = 5t<BR>\n" );
document.write( "t = 10.5/5<BR>\n" );
document.write( "t = 2.1 hrs A working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "1.25 * 2.1 = 2.625 hrs V working alone, that's 2 hr + .625(60) = 2 hrs 37.5 min<BR>\n" );
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document.write( "See if that checks out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.167%2F2.1 ALIGN=MIDDLE  ALT=\"1.167%2F2.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.167%2F%282.625%29 ALIGN=MIDDLE  ALT=\"1.167%2F%282.625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ~ 1 </SPAN>\n" );
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