document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131389>Question 131389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I following problem has me confused. I came up with the answer 4.5, I don't think it's right. Could I have some assistance in solving it. thank you. One irrigation system needs about 3 times as long to complete a job as another irrigation system. When both systems operate at the same time, the job can be completed in 9 hours. How much time is required for the faster system to complete the job by itself? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95917 by </B><A HREF=/tutors/aboutme.mpl?userid=TakeATuition.com><B>TakeATuition.com(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TakeATuition.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.takeatuition.com/images/logo.jpg valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SOLUTION - <BR>\n" );
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document.write( "    Let the time taken by one irrigation system be x hours<BR>\n" );
document.write( "        therefore work done in 1 hour = 1/x<BR>\n" );
document.write( "      and the time taken by another irrigation system be 3x<BR>\n" );
document.write( "       therefore work done in 1 hour = 1/3x<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  when both system operates then work done in 9 hours<BR>\n" );
document.write( "  therefore we have<BR>\n" );
document.write( "         1/x + 1/3x = 1/9<BR>\n" );
document.write( "          <BR>\n" );
document.write( "          (3+1)/3x = 1/9<BR>\n" );
document.write( "           <BR>\n" );
document.write( "            4/3x = 1/9<BR>\n" );
document.write( "   <BR>\n" );
document.write( "            now by cross multiplication we have<BR>\n" );
document.write( "           <BR>\n" );
document.write( "              36 = 3x<BR>\n" );
document.write( "     <BR>\n" );
document.write( "              36/3 = 3x/3<BR>\n" );
document.write( "        <BR>\n" );
document.write( "              x = 12<BR>\n" );
document.write( "        therefore faster system required 12 hours to complete the job by itself.\r<BR>\n" );
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