document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171279>Question 171279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One hose can fill an empty tank in 7 hours. A second hose can fill the empty tank in 12 hours. How long will it take to fill the empty tank if both hoses are used? Write an equation and solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126434 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=126434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One hose can fill an empty tank in 7 hours. A second hose can fill the empty tank in 12 hours. How long will it take to fill the empty tank if both hoses are used? Write an equation and solve.\r<BR>\n" );
document.write( "\n" );
document.write( "1/7 + 1/12 = 1/x\r<BR>\n" );
document.write( "\n" );
document.write( "Can you solve for x?\r<BR>\n" );
document.write( "\n" );
document.write( "====================\r<BR>\n" );
document.write( "\n" );
document.write( "I received your reply.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1/7 + 1/12 = 1/x\r<BR>\n" );
document.write( "\n" );
document.write( "Multiplying all terms on both sides by the LCD, which is 84x, we get the following:\r<BR>\n" );
document.write( "\n" );
document.write( "12x + 7x = 84\r<BR>\n" );
document.write( "\n" );
document.write( "We now have a linear equation.\r<BR>\n" );
document.write( "\n" );
document.write( "So, solve for x.\r<BR>\n" );
document.write( "\n" );
document.write( "19x = 84\r<BR>\n" );
document.write( "\n" );
document.write( "x = 84/19\r<BR>\n" );
document.write( "\n" );
document.write( "x is approximately 4.42, which can be rounded off to the nearest tenths place to be 4.40 (about 4 hours and 40 minutes).\r<BR>\n" );
document.write( "\n" );
document.write( "Together, both hoses can fill the empty tank in 4 hours and 40 minutes (slightly less than 5 hours).\r<BR>\n" );
document.write( "\n" );
document.write( "Did you follow?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );