document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=412922>Question 412922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kindly answer these problems please  because i am still quite confused in answering these problems and please apply system of linear equations. \r<BR>\n" );
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document.write( "1) Working together, Tom and Jerry cleaned the swimming pool in 6 hrs. If both of them worked together for the 1st 3 hrs., and Jerry stopped for an errand it would require Tom 4 hrs. to finish cleaning the pool. How long would it take Jerry to clean the pool alone? How long would it take Tom?\r<BR>\n" );
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document.write( "Thank you in advance! Hoping for your immediate reply.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289972 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=289972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Working together, Tom and Jerry cleaned the swimming pool in 6 hrs.<BR>\n" );
document.write( " If both of them worked together for the 1st 3 hrs, and Jerry stopped for an<BR>\n" );
document.write( " errand it would require Tom 4 hrs. to finish cleaning the pool.<BR>\n" );
document.write( " How long would it take Jerry to clean the pool alone?<BR>\n" );
document.write( " How long would it take Tom? <BR>\n" );
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document.write( "Let t = time required by Tom alone<BR>\n" );
document.write( "Let j = time required by Jerry alone<BR>\n" );
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document.write( "Let the completed job = 1 (a clean pool)<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\" Working together, Tom and Jerry cleaned the swimming pool in 6 hrs.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ft ALIGN=MIDDLE  ALT=\"6%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fj ALIGN=MIDDLE  ALT=\"6%2Fj\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "\"If both of them worked together for the 1st 3 hrs, and Jerry stopped, it would <BR>\n" );
document.write( "require Tom 4 hrs. to finish cleaning the pool.\" (Tom works a total of 7 hrs)<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=3%2Fj ALIGN=MIDDLE  ALT=\"3%2Fj\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply the above equation by 2, subtract the 1st equation from it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2Ft ALIGN=MIDDLE  ALT=\"14%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fj ALIGN=MIDDLE  ALT=\"6%2Fj\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ft ALIGN=MIDDLE  ALT=\"6%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fj ALIGN=MIDDLE  ALT=\"6%2Fj\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "-----------------------subtraction eliminates j find t<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Ft ALIGN=MIDDLE  ALT=\"8%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply both sides by t and you have<BR>\n" );
document.write( "t = 8 hrs, Tom working alone<BR>\n" );
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document.write( "Find j using the 1st equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F8 ALIGN=MIDDLE  ALT=\"6%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fj ALIGN=MIDDLE  ALT=\"6%2Fj\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 8j<BR>\n" );
document.write( "6j + 8(6) = 8j<BR>\n" );
document.write( "48 = 8j - 6j<BR>\n" );
document.write( "48 = 2j<BR>\n" );
document.write( "j = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F2 ALIGN=MIDDLE  ALT=\"48%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "j = 24 hrs, Jerry working alone; (not much help, perhaps he only had one arm)<BR>\n" );
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document.write( "Confirm these solutions in the 2nd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F8 ALIGN=MIDDLE  ALT=\"7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F24 ALIGN=MIDDLE  ALT=\"3%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F8 ALIGN=MIDDLE  ALT=\"7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; \r<BR>\n" );
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