document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324846>Question 324846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> autumn has come and you need to empty your swimming pool at home. you have an older water pump that can empty your swimming pool in 5 hours. you also just bought a new water pump since it was on sale and it can empty your swimming pool in 3 hours. you want to get the pool drained as quickly as possible so you can go out for a run. you decide to use both water pumps to empty your swimming pool at once. how long will it take the pool using both water pumps?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232575 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=232575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> autumn has come and you need to empty your swimming pool at home. you have an older water pump that can empty your swimming pool in 5 hours. you also just bought a new water pump since it was on sale and it can empty your swimming pool in 3 hours. you want to get the pool drained as quickly as possible so you can go out for a run. you decide to use both water pumps to empty your swimming pool at once. how long will it take the pool using both water pumps? <BR>\n" );
document.write( "---<BR>\n" );
document.write( "Older pump DATA:<BR>\n" );
document.write( "time = 5 hrs/job ; rate = 1/5 job/hr<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Newer pump DATA:<BR>\n" );
document.write( "time = 3 hrs/job ; rate = 1/3 job/hr<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Together DATA:<BR>\n" );
document.write( "time = x hrs/job ; rate = 1/x job/hr<BR>\n" );
document.write( "====================================<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/5 + 1/3 = 1/x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply thru by 15x to get:<BR>\n" );
document.write( "3x + 5x = 15<BR>\n" );
document.write( "8x = 15<BR>\n" );
document.write( "x = 15/8 hrs (time required for both pumpts to empty the pool together)<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );