document.write( "Question 668700: If one pump can fill a pool in 16 hours and if two pumps can fill the pool in 6 hours, how fast can the second pump fill the pool? \n" ); document.write( "

Algebra.Com's Answer #415796 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
If one pump can fill a pool in 16 hours and if two
\n" ); document.write( "pumps can fill the pool in 6 hours, how fast can the
\n" ); document.write( "second pump fill the pool?
\n" ); document.write( "

\r\n" );
document.write( "The filling rate of the first pump is 1 pool per 16 hours, or\r\n" );
document.write( "\r\n" );
document.write( " or pool/hour.\r\n" );
document.write( "\r\n" );
document.write( "The filling rate of the second pump is 1 pool per x hours, or\r\n" );
document.write( "\r\n" );
document.write( " or pool/hour.\r\n" );
document.write( "\r\n" );
document.write( "Their combined filling rate of both pumps is 1 pool per 6 hours, or\r\n" );
document.write( "\r\n" );
document.write( " or pool/hour.\r\n" );
document.write( "\r\n" );
document.write( "The equation comes from:\r\n" );
document.write( "\r\n" );
document.write( "             +  = \r\n" );
document.write( " \r\n" );
document.write( "                     +  = \r\n" );
document.write( "\r\n" );
document.write( "Solve that by multiplying through by the LCD of 48x \r\n" );
document.write( "\r\n" );
document.write( "                    x = \r\n" );
document.write( "                               \r\n" );
document.write( "                    x = 9.6 hours\r\n" );
document.write( "\r\n" );
document.write( "or 9 hours and 36 minutes.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );