document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069135>Question 1069135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Kenny 1 hour longer than Dennis to shuck a sack of oysters. IF together they shuck a sack of oysters in 45 minutes, then how long would it take each one 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 #684382 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=684382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  It takes Kenny 1 hour longer than Dennis to shuck a sack of oysters.<BR>\n" );
document.write( " IF together they shuck a sack of oysters in 45 minutes, then how long would it take each one working alone?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "change 45 min to .75 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let t = time (in hrs) for Dennis to shuck a sack of oysters<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+1) = time required by Kenny <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1 (a sack of shucked oysters)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.75%2Ft ALIGN=MIDDLE  ALT=\".75%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.75%2F%28%28t%2B1%29%29 ALIGN=MIDDLE  ALT=\".75%2F%28%28t%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by t(t+1), cancel the denominators<BR>\n" );
document.write( ".75(t+1) + .75t = t(t+1)<BR>\n" );
document.write( ".75t + .75 + .75t = t^2 + t<BR>\n" );
document.write( "1.5t + .75 = t^2 + t<BR>\n" );
document.write( "0 = t^2 + t - 1.5t - .75<BR>\n" );
document.write( "a quadratic equation<BR>\n" );
document.write( "t^2 - .5t - .75 = 0<BR>\n" );
document.write( "using the quadratic formula; a=1; b=-.5; c=-.75, I got<BR>\n" );
document.write( "t = -.65 (not a solution)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "t = 1.15 hrs is Dennis's time alone (that's: 1 + .15(60) = 1 hr 9 min)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2.15 hrs is Kenny's time </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );