document.write( "Question 72161: To fill up their swimming pool, the Johnsons decided to use both their high volume hose and their neighbor's regular garden hose. If they had used only their hose, it would have taken them 12 hours to fill the pool, but using both hoses it took them only 7 hours. How long would it have taken them to fill the pool using only their neighbor's hose? \n" ); document.write( "

Algebra.Com's Answer #51577 by josmiceli(19441) $\"\"$ $\"About$

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This is a comboned rate problem
\n" ); document.write( "The rate with their own hose is:
\n" ); document.write( " one pool filled / 12 hrs
\n" ); document.write( "The comboined rate is:
\n" ); document.write( "one pool filled / 7 hrs
\n" ); document.write( "The rate with the neighbor's hose is
\n" ); document.write( "one pool filled / x hrs
\n" ); document.write( "The equation is
\n" ); document.write( " $\"1%2F12+%2B+1%2Fx+=+1%2F7\"$
\n" ); document.write( "multiply both sides by 12*7*x
\n" ); document.write( " $\"7x+%2B++12%2A7+=+12x\"$
\n" ); document.write( " $\"5x+=+84\"$
\n" ); document.write( " $\"x+=+16.8\"$ hrs with neighbors hose \n" ); document.write( "

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