document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=557398>Question 557398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> it takes Jacob 3 hours to dig a ditch, which is 6 feet deep. Johnson can accomplish the same task in 4 hours. how long will it take them to dig a ditch if they work together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362718 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=362718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it takes Jacob 3 hours to dig a ditch, which is 6 feet deep.<BR>\n" );
document.write( " Johnson can accomplish the same task in 4 hours. <BR>\n" );
document.write( "how long will it take them to dig a ditch if they work together?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time required when they work together<BR>\n" );
document.write( "Let the completed job = 1 (a dug ditch 6' deep)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F3 ALIGN=MIDDLE  ALT=\"t%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F4 ALIGN=MIDDLE  ALT=\"t%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 12. the least common denominator of 3 and 4:<BR>\n" );
document.write( "12*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F3 ALIGN=MIDDLE  ALT=\"t%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 12*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F4 ALIGN=MIDDLE  ALT=\"t%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12(1)<BR>\n" );
document.write( "cancel the denominators and you have<BR>\n" );
document.write( "4t + 3t = 12<BR>\n" );
document.write( "7t = 12<BR>\n" );
document.write( "t = 12/7<BR>\n" );
document.write( "t = 1.714 hrs working together about 1 + .714(60) = 1 hr 43 minutes </SPAN>\n" );
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