document.write( "Question 936445: A pool contains 200 gallons of water and is 1/10 full. If you fill the pool at 10 gallons an hour while the pool empties at 3 gallons per hour. how long will it take to fill the pool? \n" ); document.write( "

Algebra.Com's Answer #569914 by TimothyLamb(4379) $\"\"$ $\"About$

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r = v/t
\n" ); document.write( "rates are additive:
\n" ); document.write( "r = 10/1 - 3/1
\n" ); document.write( "r = 7 gal/hr
\n" ); document.write( "---
\n" ); document.write( "pool volume:
\n" ); document.write( "x/10 = 200
\n" ); document.write( "x = 2000 gal
\n" ); document.write( "---
\n" ); document.write( "volume remaining to fill the pool:
\n" ); document.write( "2000 - 200 = 1800 gal
\n" ); document.write( "---
\n" ); document.write( "time remaining:
\n" ); document.write( "r = v/t
\n" ); document.write( "t = v/r
\n" ); document.write( "t = 1800/7
\n" ); document.write( "t = 257.142857143
\n" ); document.write( "---
\n" ); document.write( "it'll take another 257.14 hours to fill the pool
\n" ); document.write( "---
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